IEEE Transactions on Automatic Control

 Short Title: IEEE Trans. Autom. Control Publisher: Institute of Electrical and Electronics Engineers (IEEE), New York, NY ISSN: 0018-9286 Online: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 Comments: Indexed cover-to-cover
 Documents Indexed: 15,479 Publications (since 1972) References Indexed: 6 Publications with 149 References.
all top 5

Latest Issues

 67, No. 7 (2022) 67, No. 6 (2022) 67, No. 5 (2022) 67, No. 4 (2022) 67, No. 3 (2022) 67, No. 2 (2022) 67, No. 1 (2022) 66, No. 12 (2021) 66, No. 11 (2021) 66, No. 10 (2021) 66, No. 9 (2021) 66, No. 8 (2021) 66, No. 7 (2021) 66, No. 6 (2021) 66, No. 5 (2021) 66, No. 4 (2021) 66, No. 3 (2021) 66, No. 2 (2021) 66, No. 1 (2021) 65, No. 12 (2020) 65, No. 11 (2020) 65, No. 10 (2020) 65, No. 9 (2020) 65, No. 8 (2020) 65, No. 7 (2020) 65, No. 6 (2020) 65, No. 5 (2020) 65, No. 4 (2020) 65, No. 3 (2020) 65, No. 2 (2020) 65, No. 1 (2020) 64, No. 12 (2019) 64, No. 11 (2019) 64, No. 10 (2019) 64, No. 9 (2019) 64, No. 8 (2019) 64, No. 7 (2019) 64, No. 6 (2019) 64, No. 5 (2019) 64, No. 4 (2019) 64, No. 3 (2019) 64, No. 2 (2019) 64, No. 1 (2019) 63, No. 12 (2018) 63, No. 11 (2018) 63, No. 10 (2018) 63, No. 9 (2018) 63, No. 8 (2018) 63, No. 7 (2018) 63, No. 6 (2018) 63, No. 5 (2018) 63, No. 4 (2018) 63, No. 3 (2018) 63, No. 2 (2018) 63, No. 1 (2018) 62, No. 12 (2017) 62, No. 11 (2017) 62, No. 10 (2017) 62, No. 9 (2017) 62, No. 8 (2017) 62, No. 7 (2017) 62, No. 6 (2017) 62, No. 5 (2017) 62, No. 4 (2017) 62, No. 3 (2017) 62, No. 2 (2017) 62, No. 1 (2017) 61, No. 12 (2016) 61, No. 11 (2016) 61, No. 10 (2016) 61, No. 9 (2016) 61, No. 8 (2016) 61, No. 7 (2016) 61, No. 6 (2016) 61, No. 5 (2016) 61, No. 4 (2016) 61, No. 3 (2016) 61, No. 2 (2016) 61, No. 1 (2016) 60, No. 12 (2015) 60, No. 11 (2015) 60, No. 10 (2015) 60, No. 9 (2015) 60, No. 8 (2015) 60, No. 7 (2015) 60, No. 6 (2015) 60, No. 5 (2015) 60, No. 4 (2015) 60, No. 3 (2015) 60, No. 2 (2015) 60, No. 1 (2015) 59, No. 12 (2014) 59, No. 11 (2014) 59, No. 10 (2014) 59, No. 9 (2014) 59, No. 8 (2014) 59, No. 7 (2014) 59, No. 6 (2014) 59, No. 5 (2014) 59, No. 4 (2014) ...and 329 more Volumes
all top 5

Authors

 91 Krstić, Miroslav 83 Anderson, Brian David Outram 75 Shaked, Uri 73 Teel, Andrew Richard 69 Xie, Lihua 60 Kokotovic, Petar V. 59 Petersen, Ian Richard 58 Başar, Tamer 56 Johansson, Karl Henrik 56 Ortega, Romeo S. 55 Lewis, Frank Leroy 53 Astolfi, Alessandro 52 Chen, Jie 52 Georgiou, Tryphon T. 52 Goodwin, Graham Clifford 52 Lam, James 51 Davison, Edward Joseph 49 Antsaklis, Panos J. 49 Jiang, Zhong-Ping 49 Nešić, Dragan 49 Shi, Peng 47 Lin, Zongli 47 Wang, Zidong 46 Khalil, Hassan K. 45 Khargonekar, Pramod P. 45 Lafortune, Stéphane 44 Caines, Peter Edwin 41 Kailath, Thomas 41 Marcus, Steven I. 41 Shi, Ling 41 Wen, Changyun 40 Bernstein, Dennis S. 40 Chen, Tongwen 40 Haddad, Wassim Michael 39 Chen, Guanrong 39 Fu, Minyue 38 Dahleh, Munther A. 38 Fridman, Emilia 38 Middleton, Richard Hume 37 Bullo, Francesco 37 Morse, A. Stephen 37 Wonham, W. Murray 36 Bhattacharyya, Shankar Prashad 36 Cassandras, Christos G. 36 Huang, Jie 36 Kumar, Ratnesh 36 Soh, Yeng Chai 35 Athans, Michael 35 Laub, Alan J. 35 Lygeros, John 35 Narendra, Kumpati S. 35 Ren, Wei 34 Barmish, B. Ross 34 Fridman, Leonid M. 34 Ioannou, Petros A. 34 Ljung, Lennart 34 van der Schaft, Arjan J. 33 Allgower, Frank 33 Geromel, Jose Claudio 33 Heemels, W. P. Maurice H. 33 Hong, Yiguang 33 Marino, Riccardo 33 Yang, Guanghong 32 Darouach, Mohamed 32 Michel, Anthony N. 32 Tempo, Roberto 32 Vidyasagar, Mathukumalli 31 Feng, Gang 31 Gupta, Vijay 31 Hadjicostis, Christoforos N. 31 Isidori, Alberto 31 Lin, Feng 31 Mazenc, Frédéric 31 Pappas, George J. 31 Tomei, Patrizio 30 Cao, Ming 30 Desoer, Charles A. 30 Ferrante, Augusto 30 Jadbabaie, Ali 30 Lin, Wei 30 Prieur, Christophe 30 Speyer, Jason Lee 30 Tsitsiklis, John N. 29 Angeli, David 29 Bemporad, Alberto 29 Chen, Hanfu 29 Cheng, Daizhan 29 Kwon, Wook Hyun 29 Šiljak, Dragoslav D. 29 Tao, Gang 29 Zhang, Jifeng 28 Blanchini, Franco 28 Giua, Alessandro 28 Kučera, Vladimir V. 28 Safonov, Michael George 28 Su, Hongye 28 Sznaier, Mario 28 Willsky, Alan Steven 27 Bai, Erwei 27 Chesi, Graziano ...and 11,879 more Authors
all top 5

Fields

 13,946 Systems theory; control (93-XX) 1,633 Operations research, mathematical programming (90-XX) 1,008 Ordinary differential equations (34-XX) 976 Calculus of variations and optimal control; optimization (49-XX) 751 Probability theory and stochastic processes (60-XX) 718 Statistics (62-XX) 689 Computer science (68-XX) 599 Linear and multilinear algebra; matrix theory (15-XX) 496 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 468 Numerical analysis (65-XX) 435 Mechanics of particles and systems (70-XX) 424 Information and communication theory, circuits (94-XX) 192 Combinatorics (05-XX) 156 Functions of a complex variable (30-XX) 149 Dynamical systems and ergodic theory (37-XX) 140 Biology and other natural sciences (92-XX) 110 Partial differential equations (35-XX) 97 Difference and functional equations (39-XX) 93 Quantum theory (81-XX) 92 Approximations and expansions (41-XX) 88 Operator theory (47-XX) 70 Mechanics of deformable solids (74-XX) 45 Functional analysis (46-XX) 39 Real functions (26-XX) 30 Field theory and polynomials (12-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 24 Commutative algebra (13-XX) 23 Mathematical logic and foundations (03-XX) 22 Integral transforms, operational calculus (44-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Fluid mechanics (76-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Special functions (33-XX) 13 Integral equations (45-XX) 11 Convex and discrete geometry (52-XX) 11 Optics, electromagnetic theory (78-XX) 10 History and biography (01-XX) 10 Number theory (11-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 6 Geophysics (86-XX) 5 Nonassociative rings and algebras (17-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Associative rings and algebras (16-XX) 3 Sequences, series, summability (40-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX)

Citations contained in zbMATH Open

12,576 Publications have been cited 190,706 times in 61,624 Documents Cited by Year
A new look at the statistical model identification. Zbl 0314.62039
Akaike, Hirotugu
1974
Consensus problems in networks of agents with switching topology and time-delays. Zbl 1365.93301
Olfati-Saber, Reza; Murray, Richard M.
2004
Coordination of groups of mobile autonomous agents using nearest neighbor rules. Zbl 1364.93514
Jadbabaie, Ali; Lin, Jie; Morse, A. Stephen
2003
Consensus seeking in multiagent systems under dynamically changing interaction topologies. Zbl 1365.93302
Ren, Wei; Beard, Randal W.
2005
State-space solutions to standard $${\mathcal H}_ 2$$ and $${\mathcal H}_\infty$$ control problems. Zbl 0698.93031
Doyle, John C.; Glover, Keith; Khargonekar, Pramod P.; Francis, Bruce A.
1989
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. Zbl 0904.93036
Branicky, Michael S.
1998
Principal component analysis in linear systems: Controllability, observability, and model reduction. Zbl 0464.93022
Moore, Bruce C.
1981
Information flow and cooperative control of vehicle formations. Zbl 1365.90056
Fax, J. Alexander; Murray, Richard M.
2004
Stability and stabilizability of switched linear systems: a survey of recent results. Zbl 1367.93440
Lin, Hai; Antsaklis, Panos J.
2009
Flocking for multi-agent dynamic systems: algorithms and theory. Zbl 1366.93391
Olfati-Saber, Reza
2006
Smooth stabilization implies coprime factorization. Zbl 0682.93045
Sontag, Eduardo D.
1989
Emergent behavior in flocks. Zbl 1366.91116
Cucker, Felipe; Smale, Steve
2007
Variable structure systems with sliding modes. Zbl 0382.93036
1977
Event-triggered real-time scheduling of stabilizing control tasks. Zbl 1366.90104
2007
A cone complementarity linearization algorithm for static output-feedback and related problems. Zbl 0887.93017
El Ghaoui, Laurent; Oustry, Francois; AitRami, Mustapha
1997
Fractional-order systems and $$PI^ \lambda D^ \mu$$-controllers. Zbl 1056.93542
Podlubny, Igor
1999
Stability of multiagent systems with time-dependent communication links. Zbl 1365.93268
Moreau, Luc
2005
Nonlinear feedback design for fixed-time stabilization of linear control systems. Zbl 1369.93128
Polyakov, Andrey
2012
Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. Zbl 1364.93559
Daafouz, Jamal; Riedinger, Pierre; Iung, Claude
2002
Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses. Zbl 0474.93025
Zames, G.
1981
A discrete state-space model for linear image processing. Zbl 0304.68099
Roesser, Robert P.
1975
Multiobjective output-feedback control via LMI optimization. Zbl 0883.93024
Scherer, Carsten; Gahinet, Pascal; Chilali, Mahmoud
1997
The sector bound approach to quantized feedback control. Zbl 1365.81064
Fu, Minyue; Xie, Lihua
2005
Nonlinear controllability and observability. Zbl 0396.93015
Hermann, Robert; Krener, Arthur J.
1977
Robust stabilization of uncertain linear systems: Quadratic stabilizability and $$H^{\infty}$$ control theory. Zbl 0707.93060
Khargonekar, Pramod P.; Petersen, Ian R.; Zhou, Kemin
1990
Systematic design of adaptive controllers for feedback linearizable systems. Zbl 0768.93044
Kanellakopoulos, Ioannis; Kokotovic, Petar V.; Morse, A. Stephen
1991
A generalized state-space for singular systems. Zbl 0541.34040
Verghese, George C.; Lévy, Bernard C.; Kailath, Thomas
1981
Dynamic surface control for a class of nonlinear systems. Zbl 0991.93041
Swaroop, D.; Hedrick, J. K.; Yip, P. P.; Gerdes, J. C.
2000
Distributed event-triggered control for multi-agent systems. Zbl 1369.93019
Dimarogonas, Dimos V.; Frazzoli, Emilio; Johansson, Karl H.
2012
A delay system method for designing event-triggered controllers of networked control systems. Zbl 1369.93183
Yue, Dong; Tian, Engang; Han, Qing-Long
2013
Supervisory control of families of linear set-point controllers. I: Exact matching. Zbl 0872.93009
Morse, A. Stephen
1996
Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems. Zbl 0473.93056
Corless, Martin J.; Leitmann, George
1981
Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control. Zbl 0714.93060
Ji, Yuandong; Chizeck, Howard Jay
1990
On consensus algorithms for double-integrator dynamics. Zbl 1367.93567
Ren, Wei
2008
A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020
Gauthier, J. P.; Hammouri, H.; Othman, S.
1992
A time-varying complex dynamical network model and its controlled synchronization criteria. Zbl 1365.93406
Lü, Jinhu; Chen, Guanrong
2005
Kalman filtering with intermittent observations. Zbl 1365.93512
Sinopoli, Bruno; Schenato, Luca; Franceschetti, Massimo; Poolla, Kameshwar; Jordan, Michael I.; Sastry, Shankar S.
2004
Multivariable feedback design: Concepts for a classical/modern synthesis. Zbl 0462.93027
Doyle, John C.; Stein, Gunter
1981
Finite spectrum assignment problem for systems with delays. Zbl 0425.93029
Manitius, Andrzej Z.; Olbrot, Andrzej W.
1979
Output regulation of nonlinear systems. Zbl 0704.93034
Isidori, Alberto; Byrnes, Christopher I.
1990
Stability and stabilization of switched linear systems with mode-dependent average dwell time. Zbl 1369.93290
Zhao, Xudong; Zhang, Lixian; Shi, Peng; Liu, Ming
2012
Distributed subgradient methods for multi-agent optimization. Zbl 1367.90086
Nedić, Angelia; Ozdaglar, Asuman
2009
Stabilization of linear systems with limited information. Zbl 1059.93521
Elia, Nicola; Mitter, Sanjoy K.
2001
Adaptive control of linearizable systems. Zbl 0693.93046
Sastry, S. Shankar; Isidori, Alberto
1989
A continuous feedback approach to global strong stabilization of nonlinear systems. Zbl 1012.93053
Qian, Chunjiang; Lin, Wei
2001
Modern Wiener-Hopf design of optimal controllers. II: The multivariable case. Zbl 0339.93035
Youla, Dante C.; Jabr, Hamid A.; Bongiorno, Joseph J. jun.
1976
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
1979
Computation of piecewise quadratic Lyapunov functions for hybrid systems. Zbl 0905.93039
Johansson, Mikael; Rantzer, Anders
1998
Linear systems with state and control constraints: The theory and application of maximal output admissible sets. Zbl 0754.93030
Gilbert, Elmer G.; Tan, Kok Tin
1991
Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized $$\epsilon$$-Nash equilibria. Zbl 1366.91016
Huang, Minyi; Caines, Peter E.; Malhamé, Roland P.
2007
Linear systems with delayed controls: A reduction. Zbl 0486.93011
Artstein, Zvi
1982
Paradigms and puzzles in the theory of dynamical systems. Zbl 0737.93004
Willems, Jan C.
1991
Continuous finite-time stabilization of the translational and rotational double integrators. Zbl 0925.93821
Bhat, Sanjay P.; Bernstein, Dennis S.
1998
Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. Zbl 0758.93007
Byrnes, Christopher I.; Isidori, Alberto; Willems, Jan C.
1991
Quantized feedback stabilization of linear systems. Zbl 0988.93069
Brockett, Roger W.; Liberzon, Daniel
2000
Flocking in fixed and switching networks. Zbl 1366.93414
Tanner, Herbert G.; Jadbabaie, Ali; Pappas, George J.
2007
$$H_ \infty$$ design with pole placement constraints: An LMI approach. Zbl 0857.93048
Chilali, Mahmoud; Gahinet, Pascal
1996
On designing of sliding-mode control for stochastic jump systems. Zbl 1366.93682
Shi, Peng; Xia, Yuanqing; Liu, G. P.; Rees, D.
2006
$$L_ 2$$-gain analysis of nonlinear systems and nonlinear state feedback $$H_ \infty$$ control. Zbl 0755.93037
van der Schaft, A. J.
1992
Finite-time consensus problems for networks of dynamic agents. Zbl 1368.93391
Wang, Long; Xiao, Feng
2010
Gradient based iterative algorithms for solving a class of matrix equations. Zbl 1365.65083
Ding, Feng; Chen, Tongwen
2005
Free-matrix-based integral inequality for stability analysis of systems with time-varying delay. Zbl 1360.34149
Zeng, Hong-Bing; He, Yong; Wu, Min; She, Jinhua
2015
A delay-dependent stability criterion for systems with uncertain time-invariant delays. Zbl 0957.34069
Park, PooGyeon
1999
Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. Zbl 1008.93068
Deng, Hua; Krstić, Miroslav; Williams, Ruth J.
2001
Analysis of recursive stochastic algorithms. Zbl 0362.93031
Ljung, Lennart
1977
A Schur method for solving algebraic Riccati equations. Zbl 0424.65013
Laub, Alan J.
1979
Uniform stability of switched linear systems: extensions of LaSalle’s invariance principle. Zbl 1365.93348
Hespanha, João P.
2004
System analysis via integral quadratic constraints. Zbl 0881.93062
Megretski, Alexandre; Rantzer, Anders
1997
Further improvement of free-weighting matrices technique for systems with time-varying delay. Zbl 1366.34097
He, Yong; Wang, Qing-Guo; Xie, Lihua; Lin, Chong
2007
State estimation and sliding-mode control of Markovian jump singular systems. Zbl 1368.93696
Wu, Ligang; Shi, Peng; Gao, Huijun
2010
The robust control of a servomechanism problem for linear time-invariant multivariable systems. Zbl 0326.93007
Davison, Edward J.
1976
Consensus problems on networks with antagonistic interactions. Zbl 1369.93433
Altafini, Claudio
2013
New results on stability of discrete-time systems with time-varying state delay. Zbl 1366.39011
Gao, Huijun; Chen, Tongwen
2007
Adaptive synchronization of an uncertain complex dynamical network. Zbl 1366.93544
Zhou, Jin; Lu, Jun-an; Lü, Jinhu
2006
Nonholonomic motion planning: Steering using sinusoids. Zbl 0800.93840
Murray, Richard M.; Sastry, S. Shankar
1993
A descriptor system approach to $$H_{\infty}$$ control of linear time-delay systems. Zbl 1364.93209
Fridman, E.; Shaked, Uri
2002
An improved stabilization method for linear time-delay systems. Zbl 1364.93564
Fridman, Emilia; Shaked, Uri
2002
Exponential stability of stochastic delay interval systems with Markovian switching. Zbl 1364.93685
Mao, Xuerong
2002
Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties. Zbl 1365.93368
He, Yong; Wu, Min; She, Jin-Hua; Liu, Guo-Ping
2004
A new method for stabilization of networked control systems with random delays. Zbl 1365.93421
Zhang, Liqian; Shi, Yang; Chen, Tongwen; Huang, Biao
2005
Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. Zbl 1078.93575
Shi, Peng; Boukas, El-Kébir; Agarwal, Ramesh K.
1999
New characterizations of input-to-state stability. Zbl 0862.93051
Sontag, Eduardo D.; Wang, Yuan
1996
A unified framework for hybrid control: Model and optimal control theory. Zbl 0951.93002
Branicky, Michael S.; Borkar, Vivek S.; Mitter, Sanjoy K.
1998
Robust stability and stabilization for singular systems with state delay and parameter uncertainty. Zbl 1364.93723
Xu, Shengyuan; Van Dooren, Paul; Ştefan, Radu; Lam, James
2002
Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions. Zbl 1368.93782
Zhang, Lixian; Lam, James
2010
Stabilization of delay systems: delay-dependent impulsive control. Zbl 1359.34089
Li, Xiaodi; Song, Shiji
2017
Event-triggering in distributed networked control systems. Zbl 1368.93211
Wang, Xiaofeng; Lemmon, Michael D.
2011
Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. Zbl 1367.93298
Bechlioulis, Charalampos P.; Rovithakis, George A.
2008
Dynamic equations in descriptor form. Zbl 0354.93007
Luenberger, David G.
1977
Constrained consensus and optimization in multi-agent networks. Zbl 1368.90143
Nedić, Angelia; Ozdaglar, Asuman; Parrilo, Pablo A.
2010
Output feedback stabilization of networked control systems with random delays modeled by Markov chains. Zbl 1367.93538
Shi, Yang; Yu, Bo
2009
A new method for the nonlinear transformation of means and covariances in filters and estimators. Zbl 0973.93053
Julier, Simon; Uhlmann, Jeffrey; Durrant-Whyte, Hugh F.
2000
Control under communication constraints. Zbl 1365.93271
Tatikonda, Sekhar; Mitter, Sanjoy
2004
The stability of nonlinear dissipative systems. Zbl 0339.93014
Hill, David; Moylan, Peter
1976
$$\mathcal H_{\infty}$$ estimation for uncertain systems with limited communication capacity. Zbl 1366.93155
Gao, Huijun; Chen, Tongwen
2007
Generalized KYP lemma: unified frequency domain inequalities with design applications. Zbl 1365.93175
Iwasaki, Tetsuya; Hara, Shinji
2005
Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities. Zbl 1367.93710
Zhang, Lixian; Boukas, El-Kébir; Lam, James
2008
Slow state variables feedback stabilization for semi-Markov jump systems with singular perturbations. Zbl 1423.93404
Shen, Hao; Li, Feng; Xu, Shengyuan; Sreeram, Victor
2018
A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046
Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi
1994
Robust $$H^{\infty}$$ filtering for uncertain Markovian jump systems with mode-dependent time delays. Zbl 1364.93816
Xu, Shengyuan; Chen, Tongwen; Lam, James
2003
Hyperbolic-SVD-based square-root unscented Kalman filters in continuous-discrete target tracking scenarios. Zbl 07480779
Kulikov, Gennady Yu.; Kulikova, Maria V.
2022
Input delay tolerance of nonlinear systems under smooth feedback: a semiglobal control framework. Zbl 07480762
Wang, Yuanjiu; Lin, Wei
2022
Stability of discrete-time systems under restricted switching via logic dynamical generator and STP-based mergence of hybrid states. Zbl 07564966
Guo, Yuqian; Wu, Yuhu; Gui, Weihua
2022
Wasserstein proximal algorithms for the Schrödinger bridge problem: density control with nonlinear drift. Zbl 07560631
Caluya, Kenneth F.; Halder, Abhishek
2022
Minimum-time and minimum-triggering observability of stochastic Boolean networks. Zbl 07560667
Zhu, Shiyong; Lu, Jianquan; Lin, Lin; Liu, Yang
2022
Safety verification and robustness analysis of neural networks via quadratic constraints and semidefinite programming. Zbl 07480750
Fazlyab, Mahyar; Morari, Manfred; Pappas, George J.
2022
On the strong $$\mathcal{H}_2$$ norm of differential algebraic systems with multiple delays: finiteness criteria, regularization, and computation. Zbl 07480760
Gomez, Marco A.; Jungers, Raphaël M.; Michiels, Wim
2022
Probabilistic model predictive safety certification for learning-based control. Zbl 07480764
Wabersich, Kim P.; Hewing, Lukas; Carron, Andrea; Zeilinger, Melanie N.
2022
Stochastic adaptive optimization with dithers. Zbl 07480765
Xie, Siyu; Liang, Shu; Wang, Le Yi; Yin, George; Chen, Wen
2022
Event-triggered output-feedback backstepping control of sandwich hyperbolic PDE systems. Zbl 07480767
Wang, Ji; Krstic, Miroslav
2022
Ultimately bounded filtering subject to impulsive measurement outliers. Zbl 07480773
Zou, Lei; Wang, Zidong; Hu, Jun; Dong, Hongli
2022
Collisions-free distributed optimal coordination for multiple Euler-Lagrangian systems. Zbl 07480791
An, Liwei; Yang, Guang-Hong
2022
Multi-sensor optimal linear estimation with unobservable measurement losses. Zbl 07480794
Lin, Hong; Li, Yuman; Lam, James; Wu, Zheng-Guang
2022
Converse barrier functions via Lyapunov functions. Zbl 07480796
Liu, Jun
2022
Robust policy iteration for continuous-time linear quadratic regulation. Zbl 07480797
Pang, Bo; Bian, Tao; Jiang, Zhong-Ping
2022
Balanced truncation of $$k$$-positive systems. Zbl 07480800
Grussler, Christian; Damm, Tobias; Sepulchre, Rodolphe
2022
Social power evolution in influence networks with stubborn individuals. Zbl 07480807
Tian, Ye; Jia, Peng; Mirtabatabaei, Anahita; Wang, Long; Friedkin, Noah E.; Bullo, Francesco
2022
On distributed nonconvex optimization: projected subgradient method for weakly convex problems in networks. Zbl 07480813
Chen, Shixiang; Garcia, Alfredo; Shahrampour, Shahin
2022
Distributed optimization of nonlinear multiagent systems: a small-gain approach. Zbl 07480814
Liu, Tengfei; Qin, Zhengyan; Hong, Yiguang; Jiang, Zhong-Ping
2022
Angle-based sensor network localization. Zbl 07480825
Jing, Gangshan; Wan, Changhuang; Dai, Ran
2022
Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs. Zbl 07480828
Benner, Peter; Goyal, Pawan; Pontes Duff, Igor
2022
Distributed randomized gradient-free mirror descent algorithm for constrained optimization. Zbl 07480837
Yu, Zhan; Ho, Daniel W. C.; Yuan, Deming
2022
Anti-unwinding sliding mode attitude maneuver control for rigid spacecraft. Zbl 07480840
Dong, Rui-Qi; Wu, Ai-Guo; Zhang, Ying
2022
Nonexistence of the asymptotic flocking in the Cucker-Smale model with short range communication weights. Zbl 07480852
Yin, Xiuxia; Gao, Zhiwei; Chen, Zili; Fu, Yichuan
2022
Local mean payoff supervisory control for discrete event systems. Zbl 07564849
Ji, Yiding; Yin, Xiang; Lafortune, Stéphane
2022
Online supervisory control of networked discrete event systems with control delays. Zbl 07564851
Liu, Zhaocong; Yin, Xiang; Shu, Shaolong; Lin, Feng; Li, Shaoyuan
2022
Mean square exponential stability analysis for Itô stochastic systems with aperiodic sampling and multiple time-delays. Zbl 07564863
Chen, Guoliang; Fan, Chenchen; Sun, Jian; Xia, Jianwei
2022
New design on distributed event-based sliding mode controller for disturbed second-order multiagent systems. Zbl 07564878
Wu, Xihui; Mu, Xiaowu
2022
Robust Stackelberg differential game with model uncertainty. Zbl 07564959
Huang, Jianhui; Wang, Shujun; Wu, Zhen
2022
Robust tracking error feedback control for a one-dimensional Schrödinger equation. Zbl 07560628
Liu, Jun-Jun; Guo, Bao-Zhu
2022
Stability and stabilization of aperiodic sampled-data systems subject to control input saturation: a set invariant approach. Zbl 07560649
Huff, Daniel Denardi; Fiacchini, Mirko; Gomes da Silva, João Manoel
2022
Almost sure stability and stabilization of Markovian jump systems with stochastic switching. Zbl 07560663
Wang, Guoliang; Xu, Lei
2022
Adaptive asymptotic tracking with global performance for nonlinear systems with unknown control directions. Zbl 07560668
Zhao, Kai; Song, Yongduan; Chen, C. L. Philip; Chen, Long
2022
Adaptive finite-time stabilization of stochastic nonlinear systems subject to full-state constraints and input saturation. Zbl 07352081
Min, Huifang; Xu, Shengyuan; Zhang, Zhengqiang
2021
Feedback stabilization of a class of diagonal infinite-dimensional systems with delay boundary control. Zbl 07320135
Lhachemi, Hugo; Prieur, Christophe
2021
A novel framework for backstepping-based control of discrete-time strict-feedback nonlinear systems with multiplicative noises. Zbl 07352204
Wang, Min; Wang, Zidong; Dong, Hongli; Han, Qing-Long
2021
Probability-guaranteed envelope-constrained filtering for nonlinear systems subject to measurement outliers. Zbl 1467.93314
Ma, Lifeng; Wang, Zidong; Hu, Jun; Han, Qing-Long
2021
Adaptive event-triggered consensus of multiagent systems on directed graphs. Zbl 07352217
Li, Xianwei; Sun, Zhiyong; Tang, Yang; Karimi, Hamid Reza
2021
Bipartite consensus tracking for second-order multiagent systems: a time-varying function-based preset-time approach. Zbl 1467.93025
Ning, Boda; Han, Qing-Long; Zuo, Zongyu
2021
Push-pull gradient methods for distributed optimization in networks. Zbl 07320128
Pu, Shi; Shi, Wei; Xu, Jinming; Nedić, Angelia
2021
Boundary delayed observer-controller design for reaction-diffusion systems. Zbl 07320147
Katz, Rami; Fridman, Emilia; Selivanov, Anton
2021
Event-based formation control for nonlinear multiagent systems under DoS attacks. Zbl 07320171
Tang, Yang; Zhang, Dandan; Shi, Peng; Zhang, Wenbing; Qian, Feng
2021
Networked control under DoS attacks: tradeoffs between resilience and data rate. Zbl 07320172
Feng, Shuai; Cetinkaya, Ahmet; Ishii, Hideaki; Tesi, Pietro; De Persis, Claudio
2021
Categorization problem on controllability of Boolean control networks. Zbl 07352153
Zhu, Qunxi; Gao, Zuguang; Liu, Yang; Gui, Weihua
2021
Polynomial-type Lyapunov-Krasovskii functional and Jacobi-Bessel inequality: further results on stability analysis of time-delay systems. Zbl 1467.93243
Huang, Yi-Bo; He, Yong; An, Jianqi; Wu, Min
2021
PI regulation of a reaction-diffusion equation with delayed boundary control. Zbl 07352210
Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel
2021
Data-driven model predictive control with stability and robustness guarantees. Zbl 07352219
Berberich, Julian; Köhler, Johannes; Müller, Matthias A.; Allgöwer, Frank
2021
Emergent behaviors of Cucker-Smale flocks on Riemannian manifolds. Zbl 1467.93023
Ha, Seung-Yeal; Kim, Doheon; Schlöder, Franz Wilhelm
2021
Stabilization of highly nonlinear stochastic coupled systems via periodically intermittent control. Zbl 07479683
Liu, Yan; Liu, Jun; Li, Wenxue
2021
A unifying framework for strong structural controllability. Zbl 07320163
Jia, Jiajia; van Waarde, Henk J.; Trentelman, Harry L.; Camlibel, M. Kanat
2021
Distributed generalized Nash equilibrium seeking in aggregative games on time-varying networks. Zbl 07352132
Belgioioso, Giuseppe; Nedić, Angelia; Grammatico, Sergio
2021
New results on parameter estimation via dynamic regressor extension and mixing: continuous and discrete-time cases. Zbl 07352149
Ortega, Romeo; Aranovskiy, Stanislav; Pyrkin, Anton A.; Astolfi, Alessandro; Bobtsov, Alexey A.
2021
Moving-horizon estimation for linear dynamic networks with binary encoding schemes. Zbl 07352226
Liu, Qinyuan; Wang, Zidong
2021
Robust dynamic event-triggered coordination with a designable minimum interevent time. Zbl 1471.93172
Berneburg, James; Nowzari, Cameron
2021
Robustness for stability and stabilization of Boolean networks with stochastic function perturbations. Zbl 07352071
Li, Haitao; Yang, Xinrong; Wang, Shuling
2021
Velocity-free event-triggered control for multiple Euler-Lagrange systems with communication time delays. Zbl 07480576
Wei, Bo; Xiao, Feng; Fang, Fang; Shi, Yang
2021
Exponential stabilization of a star-shaped thermoelastic network system based on the extended state observer with time-varying gains. Zbl 07320146
Wang, Lei; Gao, Zhiqiang; Zhou, Xuesong; Han, Zhongjie
2021
Event-triggered optimal dynamic formation of heterogeneous affine nonlinear multiagent systems. Zbl 07320176
Ma, Hong-Jun; Yang, Guang-Hong; Chen, Tongwen
2021
Global stabilization of discrete-time linear systems subject to input saturation and time delay. Zbl 07352086
Yang, Xuefei; Zhou, Bin; Mazenc, Frédéric; Lam, James
2021
Dynamic self-triggered controller codesign for Markov jump systems. Zbl 07352087
Wan, Haiying; Luan, Xiaoli; Karimi, Hamid Reza; Liu, Fei
2021
Local stabilization of an unstable parabolic equation via saturated controls. Zbl 07352139
Mironchenko, Andrii; Prieur, Christophe; Wirth, Fabian
2021
A novel approach to mean square exponential stability of stochastic delay differential equations. Zbl 07352161
Ngoc, Pham Huu Anh; Hieu, Le Trung
2021
On approximate opacity of cyber-physical systems. Zbl 07352214
Yin, Xiang; Zamani, Majid; Liu, Siyuan
2021
Single-timescale distributed GNE seeking for aggregative games over networks via forward-backward operator splitting. Zbl 1467.91003
2021
Global stabilization by memoryless feedback for nonlinear systems with a limited input delay and large state delays. Zbl 1471.93220
Zhao, Congran; Lin, Wei
2021
A necessary and sufficient graphic condition for the original disturbance decoupling of Boolean networks. Zbl 1472.93081
Li, Yifeng; Zhu, Jiandong; Li, Bowen; Liu, Yang; Lu, Jianquan
2021
Stochastic adaptive nonlinear control with filterless least squares. Zbl 1471.93154
Li, Wuquan; Krstic, Miroslav
2021
Mean-nonovershooting control of stochastic nonlinear systems. Zbl 07480592
Li, Wuquan; Krstic, Miroslav
2021
Practical synchronization in networks of nonlinear heterogeneous agents with application to power systems. Zbl 07320140
Chowdhury, Dhrubajit; Khalil, Hassan K.
2021
Remote state estimation in the presence of an active eavesdropper. Zbl 07320143
Ding, Kemi; Ren, Xiaoqiang; Leong, Alex S.; Quevedo, Daniel E.; Shi, Ling
2021
Input-to-state stability of impulsive delay systems with multiple impulses. Zbl 07320159
Li, Peng; Li, Xiaodi; Lu, Jianquan
2021
Linear-quadratic time-inconsistent mean-field type Stackelberg differential games: time-consistent open-loop solutions. Zbl 07320161
Moon, Jun; Yang, Hyun Jong
2021
Event-triggered stabilization of a class of nonlinear time-delay systems. Zbl 07320167
Zhang, Pengpeng; Liu, Tengfei; Jiang, Zhong-Ping
2021
Timescale separation in autonomous optimization. (+; corrigendum ibid. 66, No. 12, 6197-6198 (2021).) Zbl 07320184
Hauswirth, Adrian; Bolognani, Saverio; Hug, Gabriela; Dörfler, Florian
2021
Adaptive optimal control of linear periodic systems: an off-policy value iteration approach. Zbl 07320212
Pang, Bo; Jiang, Zhong-Ping
2021
Robust stability of networked linear control systems with asynchronous continuous- and discrete-time event-triggering schemes. Zbl 07320218
Xiao, Feng; Shi, Yang; Chen, Tongwen
2021
Contract-based design of symbolic controllers for safety in distributed multiperiodic sampled-data systems. Zbl 07352057
Saoud, Adnane; Girard, Antoine; Fribourg, Laurent
2021
Robustly complete synthesis of memoryless controllers for nonlinear systems with reach-and-stay specifications. Zbl 07352067
Li, Yinan; Liu, Jun
2021
Optimal output consensus for nonlinear multiagent systems with both static and dynamic uncertainties. Zbl 07352222
Tang, Yutao; Wang, Xinghu
2021
Distributed Nash equilibrium seeking in an aggregative game on a directed graph. Zbl 1467.91018
Zhu, Yanan; Yu, Wenwu; Wen, Guanghui; Chen, Guanrong
2021
$$\epsilon$$-Nash equilibria for major-minor LQG mean field games with partial observations of all agents. Zbl 1467.91012
Firoozi, Dena; Caines, Peter E.
2021
Stabilization to exponential input-to-state stability via aperiodic intermittent control. Zbl 1467.93271
Liu, Bin; Yang, Meng; Liu, Tao; Hill, David J.
2021
Decentralized adaptive fault-tolerant control for a class of strong interconnected nonlinear systems via graph theory. Zbl 1467.93016
Ma, Hong-Jun; Xu, Lin-Xing
2021
Angle rigidity and its usage to stabilize multiagent formations in 2-d. Zbl 1471.93188
Chen, Liangming; Cao, Ming; Li, Chuanjiang
2021
Embedded insertion functions for opacity enforcement. Zbl 1471.93176
Keroglou, Christoforos; Lafortune, Stéphane
2021
Resilient static output feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel. Zbl 1471.93104
Tian, Yongxiao; Yan, Huaicheng; Zhang, Hao; Zhan, Xisheng; Peng, Yan
2021
Synchronization on Riemannian manifolds: multiply connected implies multistable. Zbl 1471.93020
Markdahl, Johan
2021
Recursive filtering with measurement fading: a multiple description coding scheme. Zbl 07480530
Wang, Licheng; Wang, Zidong; Shen, Bo; Wei, Guoliang
2021
Geometric convergence of gradient play algorithms for distributed Nash equilibrium seeking. Zbl 07480543
Tatarenko, Tatiana; Shi, Wei; Nedić, Angelia
2021
Stability analysis of coupled differential-difference systems with multiple time-varying delays: a positivity-based approach. Zbl 07480622
De Iuliis, Vittorio; D&rsquo;Innocenzo, Alessandro; Germani, Alfredo; Manes, Costanzo
2021
Prescribed-time stabilization of a class of nonlinear systems by linear time-varying feedback. Zbl 07480627
Zhou, Bin; Shi, Yang
2021
Convergence of a distributed least squares. Zbl 07479704
Xie, Siyu; Zhang, Yaqi; Guo, Lei
2021
Assran, Mahmoud S.; Rabbat, Michael G.
2021
Distributed optimal control for linear multiagent systems on general digraphs. Zbl 07320153
Zhang, Zhuo; Yan, Weisheng; Li, Huiping
2021
On realizability of specific biquadratic impedances as three-reactive seven-element series-parallel networks for inerter-based mechanical control. Zbl 07320156
Wang, Kai; Chen, Michael Z. Q.
2021
State consensus for discrete-time multiagent systems over time-varying graphs. Zbl 07320157
Zhang, Ji-Lie; Chen, Xiang; Gu, Guoxiang
2021
Discrete-time $$k$$-positive linear systems. Zbl 07320164
Alseidi, Rola; Margaliot, Michael; Garloff, Jürgen
2021
Asymptotical stability of logic dynamical systems with random impulsive disturbances. Zbl 07320177
Guo, Yuqian; Shen, Yawen; Gui, Weihua
2021
New results on stabilization of port-Hamiltonian systems via PID passivity-based control. Zbl 07320185
Borja, Pablo; Ortega, Romeo; Scherpen, Jacquelien M. A.
2021
The vulnerability of cyber-physical system under stealthy attacks. Zbl 07320186
Sui, Tianju; Mo, Yilin; Marelli, Damián; Sun, Ximing; Fu, Minyue
2021
...and 938 more Documents
all top 5

Cited by 51,123 Authors

 302 Shi, Peng 277 Cao, Jinde 242 Lam, James 238 Park, Juhyun (Jessie) 211 Xu, Shengyuan 209 Wang, Zidong 206 Yang, Guanghong 162 Krstić, Miroslav 160 Zhong, Shou-Ming 153 Karimi, Hamid Reza 145 Ha, Seung-Yeal 143 Anderson, Brian David Outram 142 Ding, Feng 142 Duan, Guangren 138 Chen, Guanrong 138 Ortega, Romeo S. 138 Zhang, Qingling 137 Zhao, Jun 135 Xia, Yuanqing 131 Xie, Lihua 128 Feng, Gang 127 Jiang, Bin 127 Teo, Kok Lay 123 Lewis, Frank Leroy 121 Liu, Xinzhi 120 Wang, Long 117 Petersen, Ian Richard 116 de la Sen, Manuel 116 Zheng, Wei Xing 114 Fridman, Emilia 113 Mahmoud, Magdi Sadik Mostafa 111 Lin, Zongli 111 Xiang, Zhengrong 109 Su, Hongye 106 Gao, Huijun 105 Jiang, Zhong-Ping 102 Teel, Andrew Richard 100 Zhang, Weihai 99 Mao, Xuerong 99 Zhu, Quanxin 98 Efimov, Denis V. 98 Zhang, Huaguang 97 Haddad, Wassim Michael 96 Jia, Yingmin 96 Sun, Ji Tao 94 Guan, Zhihong 93 Huang, Tingwen 91 Shieh, Leang-San 90 Saberi, Ali 89 Benner, Peter 89 Liu, Fei 88 Chen, Tongwen 88 Wen, Changyun 87 Alsaadi, Fuad Eid S. 87 Fei, Shumin 86 Kwon, O. M. 84 Fridman, Leonid M. 84 Han, Qinglong 84 Wu, Min 84 Yin, Gang George 82 Başar, Tamer 82 Li, Xiaodi 82 Tong, Shaocheng 82 Zhao, Xudong 81 Nešić, Dragan 81 Yue, Dong 80 Ho, Daniel W. C. 80 Zhou, Bin 79 Hua, Changchun 78 Guo, Bao-Zhu 77 Cheng, Jun 77 Zhang, Huanshui 76 Boukas, El-Kébir 76 Guan, Xinping 76 Lin, Chong 76 Zou, Yun 74 Lu, Jianquan 74 Wang, Qingguo 73 Duan, Zhisheng 72 Chen, Bing 72 Liu, Yungang 72 Nijmeijer, Henk 72 Sontag, Eduardo D. 72 Wu, Zhengguang 71 Cheng, Daizhan 71 Deng, Feiqi 71 Ge, Shuzhi Sam 71 Goodwin, Graham Clifford 70 Chen, Borsen 70 Li, Shihua 70 Tsai, Jason Sheng-Hong 70 Wang, Zhen 70 Xie, Xuejun 69 Karafyllis, Iasson 69 Kouvaritakis, Basil A. 69 Wu, Yuqiang 68 Bernstein, Dennis S. 68 Li, Junmin 68 Mazenc, Frédéric 67 Hong, Yiguang ...and 51,023 more Authors
all top 5

Cited in 1,022 Journals

 8,565 Automatica 5,111 International Journal of Control 3,650 Journal of the Franklin Institute 3,564 Systems & Control Letters 1,901 International Journal of Systems Science 1,482 Applied Mathematics and Computation 1,437 International Journal of Systems Science. Principles and Applications of Systems and Integration 1,352 International Journal of Robust and Nonlinear Control 1,338 Mathematical Problems in Engineering 1,077 European Journal of Control 995 Nonlinear Dynamics 896 Asian Journal of Control 878 Journal of Optimization Theory and Applications 848 Linear Algebra and its Applications 699 Nonlinear Analysis. Hybrid Systems 653 Information Sciences 568 Circuits, Systems, and Signal Processing 561 SIAM Journal on Control and Optimization 557 International Journal of Adaptive Control and Signal Processing 511 Journal of Mathematical Analysis and Applications 470 Automation and Remote Control 442 European Journal of Operational Research 433 Chaos, Solitons and Fractals 406 Journal of Systems Science and Complexity 393 Kybernetika 371 Fuzzy Sets and Systems 370 MCSS. Mathematics of Control, Signals, and Systems 367 Abstract and Applied Analysis 336 Journal of Computational and Applied Mathematics 323 Complexity 316 Communications in Nonlinear Science and Numerical Simulation 314 Discrete Event Dynamic Systems 306 Computers & Mathematics with Applications 295 Optimal Control Applications & Methods 294 Applied Mathematical Modelling 275 Advances in Difference Equations 268 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 245 Mathematics and Computers in Simulation 244 International Journal of Applied Mathematics and Computer Science 242 Discrete Dynamics in Nature and Society 236 Chaos 219 Neural Networks 212 Journal of Vibration and Control 210 Journal of Control Theory and Applications 195 Physica A 195 Applied Mathematics Letters 192 Mathematical and Computer Modelling 191 Journal of Control Science and Engineering 188 Multidimensional Systems and Signal Processing 184 Queueing Systems 179 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 177 Mathematical Programming. Series A. Series B 175 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 172 Annals of Operations Research 163 Journal of Differential Equations 159 Journal of Applied Mathematics 158 Mathematical Biosciences 148 Applied Mathematics and Optimization 144 Communications in Statistics. Theory and Methods 143 Computational Statistics and Data Analysis 141 Journal of Computational Physics 133 Journal of Robotic Systems 132 Signal Processing 121 Physica D 121 Journal of Global Optimization 114 International Journal of Computer Mathematics 112 Stochastic Analysis and Applications 112 Computational Optimization and Applications 112 Nonlinear Analysis. Real World Applications 110 Theoretical Computer Science 109 Operations Research Letters 107 Journal of Computer and Systems Sciences International 106 Differential Equations 105 SIAM Journal on Optimization 104 Computers & Operations Research 99 Journal of Mathematical Physics 99 Discrete and Continuous Dynamical Systems. Series B 98 SIAM Journal on Applied Dynamical Systems 96 Computer Methods in Applied Mechanics and Engineering 93 Journal of Economic Dynamics & Control 93 The Annals of Applied Probability 92 Dynamic Games and Applications 90 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 87 Operations Research 84 Computational and Applied Mathematics 84 Control Theory and Technology 83 Optimization 83 Journal of Dynamical and Control Systems 83 Journal of Industrial and Management Optimization 80 Journal of Time Series Analysis 79 International Journal of General Systems 79 Numerical Algorithms 79 Journal of Statistical Computation and Simulation 79 SIAM Journal on Scientific Computing 79 Multibody System Dynamics 77 Stochastic Processes and their Applications 76 Journal of Scientific Computing 76 Neural Computation 76 Nonlinear Analysis. Theory, Methods & Applications 74 Applied Numerical Mathematics ...and 922 more Journals
all top 5

Cited in 64 Fields

 44,922 Systems theory; control (93-XX) 6,451 Operations research, mathematical programming (90-XX) 5,774 Ordinary differential equations (34-XX) 4,284 Computer science (68-XX) 4,058 Probability theory and stochastic processes (60-XX) 3,973 Numerical analysis (65-XX) 3,940 Calculus of variations and optimal control; optimization (49-XX) 3,217 Statistics (62-XX) 2,899 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2,716 Biology and other natural sciences (92-XX) 2,628 Linear and multilinear algebra; matrix theory (15-XX) 2,090 Mechanics of particles and systems (70-XX) 1,863 Partial differential equations (35-XX) 1,763 Information and communication theory, circuits (94-XX) 1,746 Dynamical systems and ergodic theory (37-XX) 752 Mechanics of deformable solids (74-XX) 742 Operator theory (47-XX) 716 Combinatorics (05-XX) 561 Real functions (26-XX) 452 Fluid mechanics (76-XX) 423 Statistical mechanics, structure of matter (82-XX) 422 Difference and functional equations (39-XX) 396 Quantum theory (81-XX) 307 Approximations and expansions (41-XX) 269 Functions of a complex variable (30-XX) 249 Harmonic analysis on Euclidean spaces (42-XX) 211 Functional analysis (46-XX) 172 Mathematical logic and foundations (03-XX) 162 Optics, electromagnetic theory (78-XX) 155 Special functions (33-XX) 143 Integral equations (45-XX) 142 Integral transforms, operational calculus (44-XX) 138 Geophysics (86-XX) 125 Global analysis, analysis on manifolds (58-XX) 114 Differential geometry (53-XX) 101 Classical thermodynamics, heat transfer (80-XX) 93 Field theory and polynomials (12-XX) 86 Commutative algebra (13-XX) 75 Algebraic geometry (14-XX) 73 General and overarching topics; collections (00-XX) 65 Number theory (11-XX) 62 Convex and discrete geometry (52-XX) 52 Topological groups, Lie groups (22-XX) 51 Associative rings and algebras (16-XX) 46 General topology (54-XX) 44 Relativity and gravitational theory (83-XX) 43 History and biography (01-XX) 43 Manifolds and cell complexes (57-XX) 40 Nonassociative rings and algebras (17-XX) 37 Measure and integration (28-XX) 30 Several complex variables and analytic spaces (32-XX) 27 Algebraic topology (55-XX) 21 Sequences, series, summability (40-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 17 Group theory and generalizations (20-XX) 16 Astronomy and astrophysics (85-XX) 15 Category theory; homological algebra (18-XX) 14 Abstract harmonic analysis (43-XX) 12 Geometry (51-XX) 10 Mathematics education (97-XX) 4 General algebraic systems (08-XX) 3 Potential theory (31-XX) 2 $$K$$-theory (19-XX) 1 (04-XX)