# zbMATH — the first resource for mathematics

## IMA Journal of Mathematical Control and Information

 Short Title: IMA J. Math. Control Inf. Publisher: Oxford University Press, Oxford; Institute of Mathematics and its Applications (IMA), Southend-on-Sea, Essex ISSN: 0265-0754; 1471-6887/e Online: https://academic.oup.com/imamci/issue Comments: Indexed cover-to-cover
 Documents Indexed: 1,296 Publications (since 1984)
all top 5

#### Latest Issues

 38, No. 3 (2021) 38, No. 2 (2021) 38, No. 1 (2021) 37, No. 4 (2020) 37, No. 3 (2020) 37, No. 2 (2020) 37, No. 1 (2020) 36, No. 4 (2019) 36, No. 3 (2019) 36, No. 2 (2019) 36, No. 1 (2019) 35, No. 4 (2018) 35, No. 3 (2018) 35, No. 2 (2018) 35, No. 1 (2018) 35, Suppl. (2018) 34, No. 4 (2017) 34, No. 3 (2017) 34, No. 2 (2017) 34, No. 1 (2017) 33, No. 4 (2016) 33, No. 3 (2016) 33, No. 2 (2016) 33, No. 1 (2016) 32, No. 4 (2015) 32, No. 3 (2015) 32, No. 2 (2015) 32, No. 1 (2015) 31, No. 4 (2014) 31, No. 3 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 4 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 29, No. 4 (2012) 29, No. 3 (2012) 29, No. 2 (2012) 29, No. 1 (2012) 28, No. 4 (2011) 28, No. 3 (2011) 28, No. 2 (2011) 28, No. 1 (2011) 27, No. 4 (2010) 27, No. 3 (2010) 27, No. 2 (2010) 27, No. 1 (2010) 26, No. 4 (2009) 26, No. 3 (2009) 26, No. 2 (2009) 26, No. 1 (2009) 25, No. 4 (2008) 25, No. 3 (2008) 25, No. 2 (2008) 25, No. 1 (2008) 24, No. 4 (2007) 24, No. 3 (2007) 24, No. 2 (2007) 24, No. 1 (2007) 23, No. 4 (2006) 23, No. 3 (2006) 23, No. 2 (2006) 23, No. 1 (2006) 22, No. 4 (2005) 22, No. 3 (2005) 22, No. 2 (2005) 22, No. 1 (2005) 21, No. 4 (2004) 21, No. 3 (2004) 21, No. 2 (2004) 21, No. 1 (2004) 20, No. 4 (2003) 20, No. 3 (2003) 20, No. 2 (2003) 20, No. 1 (2003) 19, No. 4 (2002) 19, No. 3 (2002) 19, No. 1-2 (2002) 18, No. 4 (2001) 18, No. 3 (2001) 18, No. 2 (2001) 18, No. 1 (2001) 17, No. 4 (2000) 17, No. 3 (2000) 17, No. 2 (2000) 17, No. 1 (2000) 16, No. 4 (1999) 16, No. 3 (1999) 16, No. 2 (1999) 16, No. 1 (1999) 15, No. 4 (1998) 15, No. 3 (1998) 15, No. 2 (1998) 15, No. 1 (1998) 14, No. 4 (1997) 14, No. 3 (1997) 14, No. 2 (1997) 14, No. 1 (1997) 13, No. 4 (1996) ...and 37 more Volumes
all top 5

#### Authors

 37 Mahmoud, Magdi Sadik Mostafa 19 Owens, David Howard 16 Tsai, Jason Sheng-Hong 15 Shieh, Leang-San 15 Xu, Gen-Qi 13 Kowalewski, Adam 13 Niculescu, Silviu-Iulian 13 Rosenblueth, Javier F. 12 Cao, Jinde 12 Karampetakis, Nicholas P. 12 Kobayashi, Toshihiro 12 Shi, Peng 10 Arvanitis, Kostas G. 9 Caines, Peter Edwin 9 de la Sen, Manuel 8 Bahaa, Gaber Mohamed 8 Boukas, El-Kébir 8 Ionescu, Vlad 7 Balachandran, Krishnan 7 Bell, David J. 7 Dragan, Vasile 7 Hu, Guangda 7 Ibrir, Salim 7 Kubrusly, Carlos S. 7 Leiva, Hugo 7 Lien, Chang-Hua 7 Otsuka, Naohisa 7 Poznyak, Aleksandr Semënovich 7 Sano, Hideki 7 Soh, Cheong Boon 7 Spurgeon, Sarah K. 7 Sun, Bing 7 Vardulakis, Antonis-Ioanis G. 7 Xu, Shengyuan 7 Yu, Ker-Wei 6 Fridman, Emilia 6 Guo, Shu-Mei 6 Gutman, Shaul 6 Kalogeropoulos, Grigoris I. 6 Karafyllis, Iasson 6 Kotsios, Stelios 6 Medina, Rigoberto 6 Teo, Kok Lay 6 Vinter, Richard B. 6 Wu, Jingbo 6 Xia, Yuanqing 5 Awad, Adnan M. 5 Banks, Stephen Paul 5 Boutoulout, Ali 5 Chen, Jenq-Der 5 Chung, Long-Yeu 5 Costa, Oswaldo Luiz V. 5 Debeljkovic, Dragutin Lj. 5 Duan, Guangren 5 Hao, Fei 5 Ilchmann, Achim 5 Ismail, Abdulla 5 Li, Zhiwu 5 Noakes, J. Lyle 5 Rogers, Eric 5 Sadek, Ibrahim S. 5 Townley, Stuart B. 5 Vũ Ngoc Phát 5 Yang, Xiaosong 4 Barb, Florin Dan 4 Benzaouia, Abdellah 4 Borzabadi, Akbar Hashemi 4 Chao, Daniel Yuh 4 Chen, Guanrong 4 Chen, Shinn-Horng 4 Chojnowski, Fabien 4 Darouach, Mohamed 4 Effati, Sohrab 4 El Bouhtouri, Abdelmoula 4 El Hadri, Kamal 4 Farahi, Mohammad Hadi 4 Goodall, David P. 4 Grabowski, Piotr 4 Grimble, Michael John 4 Hadd, Said 4 Han, Zhongjie 4 Inaba, Hiroshi 4 Karcanias, Nicos 4 Krakowiak, Anna 4 Liu, Jianzhou 4 Logemann, Hartmut 4 Mondié, Sabine 4 Nazemi, Alireza 4 Nounou, Hazem Numan 4 Oya, Masahiro 4 Pagilla, Prabhakar R. 4 Perdon, Anna-Maria 4 Prätzel-Wolters, Dieter 4 Roberts, Adrian P. 4 Sánchez Licea, Gerardo 4 Shubov, Marianna A. 4 Wang, Zidong 4 Yan, Xinggang 4 Yung, Siu Pang 4 Zeheb, Ezra ...and 1,639 more Authors
all top 5

#### Fields

 1,118 Systems theory; control (93-XX) 194 Calculus of variations and optimal control; optimization (49-XX) 131 Ordinary differential equations (34-XX) 74 Partial differential equations (35-XX) 67 Operations research, mathematical programming (90-XX) 63 Probability theory and stochastic processes (60-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 40 Computer science (68-XX) 32 Numerical analysis (65-XX) 28 Operator theory (47-XX) 28 Mechanics of particles and systems (70-XX) 27 Mechanics of deformable solids (74-XX) 24 Biology and other natural sciences (92-XX) 24 Information and communication theory, circuits (94-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Statistics (62-XX) 15 Real functions (26-XX) 11 Functional analysis (46-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Functions of a complex variable (30-XX) 5 General topology (54-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Mathematical logic and foundations (03-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH Open

763 Publications have been cited 3,729 times in 3,175 Documents Cited by Year
Cubic splines on curved spaces. Zbl 0698.58018
Noakes, Lyle; Heinzinger, Greg; Paden, Brad
1989
A new approach to the $$H_{\infty}$$ design of optimal digital linear filters. Zbl 0678.93063
Elsayed, A.; Grimble, M. J.
1989
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
On the scalar rational interpolation problem. Zbl 0637.93014
Antoulas, A. C.; Anderson, B. D. O.
1986
Impulsive control of a Lotka-Volterra system. Zbl 0949.93069
Liu, Xinzhi; Rohlf, Katrin
1998
Ultimate boundedness and asymptotic stability of a class of uncertain dynamical systems via continuous and discontinuous feedback control. Zbl 0662.93059
Ryan, E. P.; Corless, M.
1984
Observers for one-sided Lipschitz nonlinear systems. Zbl 1113.93021
Hu, Guangda
2006
Stability of linear systems with general sawtooth delay. Zbl 1206.93080
Liu, Kun; Suplin, Vladimir; Fridman, Emilia
2010
The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control. Zbl 1049.93017
Guo, Baozhu; Yu, Runyi
2001
Algebraic analysis of linear multidimensional control systems. Zbl 1158.93319
Pommaret, J. F.; Quadrat, A.
1999
Stabilization and $${\mathcal H}_\infty$$ control of two-dimensional Markovian jump systems. Zbl 1069.93007
Gao, Huijun; Lam, James; Xu, Shengyuan; Wang, Changhong
2004
Splines of class $$C^ k$$ on non-Euclidean spaces. Zbl 0860.58013
Camarinha, M.; Silva Leite, F.; Crouch, P.
1995
Robust $${\mathcal H}_\infty$$ constant gain feedback stabilization of stochastic systems. Zbl 1108.93074
Boukas, E. K.
2005
Exponential decay of Timoshenko beam with locally distributed feedback. Zbl 0990.93055
Shi, Dong-Hua; Feng, De-Xing
2001
The Salamon-Weiss class of well-posed infinite-dimensional linear systems: A survey. Zbl 0880.93021
Curtain, Ruth F.
1997
On the spectral-Lyapunov approach to parametric optimization of distributed-parameter systems. Zbl 0721.49006
Grabowski, Piotr
1990
Optimal control of nonlinear Volterra integral equations via Legendre polynomials. Zbl 1275.49056
Tohidi, E.; Samadi, O. R. N.
2013
A vector small-gain theorem for general non-linear control systems. Zbl 1228.93108
Karafyllis, Iasson; Jiang, Zhong-Ping
2011
Static output feedback design for uncertain linear discrete time systems. Zbl 1049.93069
Mehdi, D.; Boukas, E. K.; Bachelier, O.
2004
Impulsive stabilization of nonlinear systems. Zbl 0789.93101
Liu, Xinzhi
1993
Mechanical control systems on Lie algebroids. Zbl 1106.93020
Cortés, Jorge; Martínez, Eduardo
2004
Non-identifier-based adaptive control of dynamical systems: A survey. Zbl 0824.93036
Ilchmann, Achim
1991
Adaptive control of infinite-dimensional systems without parameter estimation: An overview. Zbl 0880.93023
Logemann, Hartmut; Townley, Stuart
1997
Analytical foundations of Volterra series. Zbl 0668.93042
Boyd, Stephen; Chua, L. O.; Desoer, C. A.
1984
A delay fractioning approach to robust sliding mode control for discrete-time stochastic systems with randomly occurring non-linearities. Zbl 1228.93025
Hu, Jun; Wang, Zidong; Gao, Huijun
2011
The linear-quadratic control problem for retarded systems with delays in control and observation. Zbl 0646.34078
Pritchard, A. J.; Salamon, Dietmar
1985
An algebraic analysis approach to linear time-varying systems. Zbl 1106.93019
Zerz, Eva
2006
A maximum principle for nonconservative self-adjoint systems. Zbl 0704.73065
Sloss, James M.; Bruch, John C. jun.; Sadek, Ibrahim S.
1989
New results on the operator Carleson measure criterion. Zbl 0874.93031
Hansen, Scott; Weiss, George
1997
A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control. Zbl 1050.49002
Rampazzo, F.; Vinter, R. B.
1999
An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations. Zbl 0952.49025
Wang, S.; Gao, F.; Teo, K. L.
2000
Lag synchronization of chaotic delayed neural networks via impulsive control. Zbl 1242.93079
Li, Xiaodi; Fu, Xilin
2012
Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay. Zbl 1279.93090
Guesmia, Aissa
2013
On controllability of semilinear stochastic systems in Hilbert spaces. Zbl 1138.93313
Mahmudov, Nazim I.
2002
Oscillations in lossless propagation models: A Lyapunov-Krasovskij approach. Zbl 1020.93010
Răsvan, Vladimir; Niculescu, Silviu-Iulian
2002
Reduced-order observer design for one-sided Lipschitz nonlinear systems. Zbl 1179.93049
Xu, Mingyue; Hu, Guang-Da; Zhao, Yanbin
2009
An analytical theory for Riemannian cubic polynomials. Zbl 1138.58307
Giambò, Roberto; Giannoni, Fabio; Piccione, Paolo
2002
A new Lyapunov technique for robust control of systems with uncertain non-small delays. Zbl 1095.93009
Fridman, Emilia
2006
Existence and optimal control for periodic parabolic equations with nonlocal terms. Zbl 0926.49002
Allegretto, W.; Nistri, P.
1999
Delay-dependent robust stabilization and $$H_\infty$$-control of uncertain stochastic systems with time-varying delay. Zbl 1053.93012
Chen, Wu-Hua; Guan, Zhi-Hong; Lu, Xiaomei
2004
Stability and hyperbolicity of linear systems with dalayed state: A matrix-pencil approach. Zbl 0918.93046
Niculescu, Silviu-Iulian
1998
Stability criteria for a class of linear neutral systems with time-varying discrete and distributed delays. Zbl 1046.93039
Han, Qing-Long
2003
Finite time stability of differential inclusions. Zbl 1115.93351
Moulay, E.; Perruquetti, W.
2005
On the computation of the generalized inverse of a polynomial matrix. Zbl 0987.93023
Karampetakis, N. P.; Tzekis, P.
2001
Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177
Gugat, Martin
2010
Observability and detectability of a class of discrete-time stochastic linear systems. Zbl 1095.93004
Dragan, Vasile; Morozan, Toader
2006
Wave energy decay under fractional derivative controls. Zbl 1095.93015
Mbodje, Brahima
2006
Optimal control and stabilization for nonlinear systems. Zbl 0773.49018
Banks, S. P.; Mhana, K. J.
1992
Consistency and Liapunov stability of linear descriptor systems: A geometric analysis. Zbl 0637.93051
Owens, David H.; Debeljkovic, Dragutin Lj.
1985
Model-reference adaptive control. Stability, parameter convergence, and robustness. Zbl 0622.93033
Sastry, S. Shankar
1984
Active disturbance rejection control and sliding mode control of one-dimensional unstable heat equation with boundary uncertainties. Zbl 1308.93057
Liu, Jun-Jun; Wang, Jun-Min
2015
Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces. Zbl 1279.93024
Yan, Zuomao
2013
A class of predefined-time stable dynamical systems. Zbl 1402.93192
Sánchez-Torres, Juan Diego; Gómez-Gutiérrez, David; López, Esteban; Loukianov, Alexander G.
2018
Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term. Zbl 1458.93082
Liu, Wenjun; Chen, Kewang; Yu, Jun
2017
Stability radii for some propagation models. Zbl 0873.93067
Halanay, A.; Rasvan, Vl.
1997
Analysis and synthesis of uncertain switched discrete-time systems. Zbl 1127.93050
Mahmoud, Magdi S.; Nounou, Mohamed N.; Nounou, Hazem N.
2007
Solving a class of linear and non-linear optimal control problems by homotopy perturbation method. Zbl 1251.49037
Effati, S.; Saberi Nik, H.
2011
Switched exponential state estimation and robust stability for interval neural networks with the average dwell time. Zbl 1328.93252
Li, Ning; Cao, Jinde
2015
Dynamic routing in fully connected networks. Zbl 0697.94017
Gibbens, R. J.; Kelly, F. P.
1990
Existence of almost periodic solutions for strong stable impulsive differential equations. Zbl 0987.34040
Stamov, Gani T.
2001
Non-uniform stabilization of control systems. Zbl 1016.93059
Karafyllis, Iasson
2002
Finite-time stability of delayed systems. Zbl 0979.93095
Lazarević, M. P.; Debeljković, D. Lj.; Nenadić, Z. Lj.; Milinković, S. A.
2000
Existence and generic properties of $$L^ 2$$ approximants for linear systems. Zbl 0637.93027
Baratchart, Laurent
1986
An ergodic control problem for reflected diffusion with jump. Zbl 0638.93079
Menaldi, José Luis; Robin, Maurice
1984
On stability radii of infinite-dimensional time-varying discrete-time systems. Zbl 0812.93055
Wirth, Fabian; Hinrichsen, Diederich
1994
A predictive least-squares principle. Zbl 0626.93069
Rissanen, Jorma
1986
Stability result of the Timoshenko system with delay and boundary feedback. Zbl 1252.93110
Said-Houari, Belkacem; Soufyane, Abdelaziz
2012
Consensus of multi-agent systems on time scales. Zbl 1256.93068
Shen, Jun; Cao, Jinde
2012
Unified Lyapunov function for a finite-time stability analysis of relay second-order sliding mode control systems. Zbl 1256.93033
Polyakov, Andrey; Poznyak, Alexander
2012
Approximate controllability of fractional functional evolution inclusions with delay in Hilbert spaces. Zbl 1297.93038
Liu, Zhenhai; Lv, Jingyun; Sakthivel, R.
2014
Identifiability analysis of linear delay-differential systems. Zbl 1009.93015
Belkoura, L.; Orlov, Y.
2002
Fast sampling and stability of nonlinear sampled-data systems. I: Existence theorems. Zbl 0717.93041
Owens, D. H.; Zheng, Y.; Billings, S. A.
1990
Decentralized output feedback control of a class of large-scale interconnected systems. Zbl 1137.93007
Zhu, Yongliang; Pagilla, Prabhakar R.
2007
Controllability of impulsive neutral stochastic differential equations with fractional Brownian motion. Zbl 1328.93056
Ahmed, Hamdy M.
2015
Adaptation of sliding modes. Zbl 1273.93035
Bartolini, Giorgio; Levant, Arie; Plestan, Franck; Taleb, Mohammed; Punta, Elisabetta
2013
Optimal control of parabolic equation with an infinite number of variables for non-standard functional and time delay. Zbl 1044.49018
Kotarski, W.; El-Saify, H. A.; Bahaa, G. M.
2002
Positive-real structure and high-gain adaptive stabilization. Zbl 0631.93058
Owens, David H.; Prätzel-Wolters, Dieter; Ilchmann, Achim
1987
A note on observer for one-sided Lipschitz non-linear systems. Zbl 1160.93006
Hu, Guang-Da
2008
Systems with time delay in the calculus of variations: A variational approach. Zbl 0655.49017
Rosenblueth, Javier F.
1988
Solving fractional optimal control problems with fixed or free final states by Haar wavelet collocation method. Zbl 1397.93104
Hosseinpour, Soleiman; Nazemi, Alireza
2016
Recursive maximum likelihood identification method for a multivariable controlled autoregressive moving average system. Zbl 1397.93213
Wang, Dongqing; Gao, Yanpu
2016
Riesz basis property of the generalized eigenvector system of a Timoshenko beam. Zbl 1066.93027
Xu, Gen-Qi; Feng, De-Xing; Yung, Siu Pang
2004
Shapes and measures. Zbl 0935.49025
Fakharzadeh, A.; Rubio, J. E.
1999
Mixed constraints in optimal control: An implicit function theorem approach. Zbl 1124.49013
de Pinho, Maria do Rosário; Rosenblueth, Javier F.
2007
Stability analysis of heat-exchanger equations with boundary feedbacks. Zbl 0917.93034
Kunimatsu, Noboru; Sano, Hideki
1998
A computational method for a class of dynamical optimization problems in which the terminal time is conditionally free. Zbl 0673.49013
Teo, K. L.; Goh, C. J.; Lim, C. C.
1989
Observer-based event-triggered control for certain and uncertain linear systems. Zbl 1279.93073
Chen, Xia; Hao, Fei
2013
A broad class of evolution equations are approximately controllable, but never exactly controllable. Zbl 1108.93014
Bárcenas, Diomedes; Leiva, Hugo; Sívoli, Zoraida
2005
Stability of non-linear systems by means of event-triggered sampling algorithms. Zbl 1297.93125
Seuret, Alexandre; Prieur, Christophe; Marchand, Nicolas
2014
Exponential stability and robust $$H_\infty$$ control for uncertain discrete switched systems with interval time-varying delay. Zbl 1216.93041
Lien, Chang-Hua; Yu, Ker-Wei; Chung, Yeong-Jay; Chang, Hao-Chin; Chung, Long-Yeu; Chen, Jenq-Der
2011
Delay-dependent dissipativity of singular time-delay systems. Zbl 1159.93333
Mahmoud, Magdi S.
2009
A numerical scheme for solving two-dimensional fractional optimal control problems by the Ritz method combined with fractional operational matrix. Zbl 1400.49033
Nemati, Ali; Yousefi, Sohrab Ali
2017
Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems: a comparison. Zbl 1083.93047
Michiels, Wim; Niculescu, Silviu-Iulian; Moreau, Luc
2004
Controllability of neutral functional evolution integrodifferential systems with infinite delay. Zbl 1146.93006
Balachandran, K.; Leelamani, A.; Kim, J.-H.
2008
Non-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis. Zbl 1106.93043
Karafyllis, Iasson
2006
Vector-valued integration with applications to the operator-valued $$H^ \infty$$ space. Zbl 0880.28008
Thomas, E. G. F.
1997
Exact controllability of damped Timoshenko beam. Zbl 0991.93016
Shubov, Marianna A.
2000
Regular linear systems governed by systems with state, input and output delays. Zbl 1115.93037
Hadd, Said; Idrissi, Abdelali
2005
On a sufficient condition for finite-time partial stability and stabilization: applications. Zbl 1193.93151
Jammazi, Chaker
2010
Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements. Zbl 1286.49039
Avdonin, Sergei A.; Mikhaylov, Victor S.; Ramdani, Karim
2014
On the explicit feedback stabilization of one-dimensional linear nonautonomous parabolic equations via oblique projections. Zbl 1436.93109
Rodrigues, Sérgio S.; Sturm, Kevin
2020
On the boundary controllability of the Korteweg-de Vries equation on a star-shaped network. Zbl 1436.93019
Cerpa, Eduardo; Crépeau, Emmanuelle; Moreno, Claudia
2020
Existence, stability and controllability results of a Volterra integro-dynamic system with non-instantaneous impulses on time scales. Zbl 1436.93098
Malik, Muslim; Kumar, Vipin
2020
Well-posedness and stability results for laminated Timoshenko beams with interfacial slip and infinite memory. Zbl 1436.93116
Guesmia, Aissa
2020
Control of bounded solutions for first-order singular differential equations with impulses. Zbl 1451.93026
Kong, Fanchao; Nieto, Juan J.
2020
A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition. Zbl 1454.49026
Andreani, Roberto; Antunes de Oliveira, Valeriano; Tomaz Pereira, Jamielli; Nunes Silva, Geraldo
2020
Approximate controllability of semilinear impulsive functional differential systems with non-local conditions. Zbl 07411959
Arora, Sumit; Singh, Soniya; Dabas, Jaydev; Mohan, Manil T.
2020
Optimal scheduling of discrete-time switched linear systems. Zbl 1436.93080
Xu, Wei; Feng, Zhi Guo; Lin, Gui-Hua; Yu, Liying
2020
Stability of linear equations with differentiable operators in a Hilbert space. Zbl 1436.93115
Gil&rsquo;, Michael
2020
Mild solution and controllability of second-order non-local retarded semilinear systems. Zbl 1436.93022
Kumar, Suman; Kumar Tomar, Nutan
2020
On event-triggered tracking for non-linear SISO systems via sliding mode control. Zbl 1436.93088
Zarei, Farzad; Shafiei, Mohammad Hossein
2020
A dissipative approach to the stability of multi-order fractional systems. Zbl 1436.93097
Gallegos, Javier A.; Duarte-Mermoud, Manuel A.
2020
Chaotic dynamics from a pseudo-linear system. Zbl 1447.93136
Ghane, Hamed; Sterk, Alef E.; Waalkens, Holger
2020
On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming. Zbl 1447.93279
Ferrante, Francesco; Gouaisbaut, Frédéric; Tarbouriech, Sophie
2020
Constrained controllability of second order retarded nonlinear systems with nonlocal condition. Zbl 1447.93028
Kumar, Suman; Sakthivel, R.
2020
Generalized fractional-order Bernoulli-Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems. Zbl 1418.49017
Rahimkhani, Parisa; Ordokhani, Yadollah
2019
Optimal control for a time delay multi-strain tuberculosis fractional model: a numerical approach. Zbl 1417.92198
Sweilam, N. H.; AL-Mekhlafi, S. M.
2019
Approximate controllability for a retarded semilinear stochastic evolution system. Zbl 1417.93075
Mokkedem, Fatima Zahra; Fu, Xianlong
2019
Impulsive discrete-time GRNs with probabilistic time delays, distributed and leakage delays: an asymptotic stability issue. Zbl 1417.92057
Pandiselvi, S.; Raja, R.; Cao, Jinde; Li, Xiaodi; Rajchakit, G.
2019
An output stabilization of infinite dimensional semilinear systems. Zbl 1417.93244
Zerrik, El Hassan; Ezzaki, Lahcen
2019
Multi-switching combination synchronization of discrete-time hyperchaotic systems for encrypted audio communication. Zbl 07421075
Hammami, Sonia
2019
Finite-time robust decentralized control for uncertain singular large-scale systems with exogenous disturbances. Zbl 07421101
Wo, Songlin; Han, Xiaoxin
2019
Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects. Zbl 07421105
Biccari, Umberto; Hernández-Santamaría, Víctor
2019
Non-fragile $$H_{\infty}$$ state estimation for discrete-time complex networks with randomly occurring time-varying delays and channel fadings. Zbl 1417.93129
Zhang, Sunjie; Wang, Zidong; Ding, Derui; Wei, Guoliang; Alsaadi, Fuad E.
2019
Stabilization for a joint string equation with input disturbance. Zbl 1417.93250
Chen, Yunlan; Xu, Genqi
2019
Sliding mode control for quantized semi-Markovian switching systems with bounded disturbances. Zbl 1417.93101
Liu, Xinghua; Ma, Guoqi
2019
A class of predefined-time stable dynamical systems. Zbl 1402.93192
Sánchez-Torres, Juan Diego; Gómez-Gutiérrez, David; López, Esteban; Loukianov, Alexander G.
2018
Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces. Zbl 1402.93056
Vijayakumar, V.
2018
Fractional optimal control problem for variational inequalities with control constraints. Zbl 1403.49005
Bahaa, G. M.
2018
Wirtinger-like Lyapunov-Krasovskii functionals for discrete-time delay systems. Zbl 1402.93173
Seuret, Alexandre; Fridman, Emilia
2018
Fractional optimal control problems: optimality conditions and numerical solution. Zbl 1403.49026
Sayevand, Khosro; Rostami, Mohammadreza
2018
Controllability of retarded semilinear fractional system with non-local conditions. Zbl 1402.93052
Arora, Urvashi; Sukavanam, N.
2018
Distributed adaptive consensus of heterogeneous multi-agent systems with unknown coupling weights. Zbl 1402.93156
Li, Hongxia; Li, Junmin; Zhu, Xiaojun; Wu, Haibin; Gan, Zhongxue
2018
Error feedback regulation problem for regular linear systems. Zbl 1402.93201
Boulite, Said; Hadd, Said; Saij, Rachid
2018
Controllability of the wave equation via multiplicative controls. Zbl 1402.93053
El Harraki, I.; Boutoulout, A.
2018
Controllability of semilinear stochastic control system with finite delay. Zbl 1402.93055
Shukla, Anurag; Sukavanam, N.; Pandey, D. N.
2018
Influence of discretization step on positivity of a certain class of two-dimensional continuous-discrete fractional linear systems. Zbl 1402.93111
Ghezzar, Mohammed Amine; Bouagada, Djillali; Chadli, Mohammed
2018
Some results on finite-time stabilizability: application to triangular control systems. Zbl 1402.93206
Jammazi, Chaker
2018
Dynamic time-delayed feedback control of Westwood+ TCP flow control model with communication delay. Zbl 1402.93128
Yu, Hongyan; Guo, Songtao; Wang, Fei; Yang, Yang
2018
Containment control of fractional-order nonlinear multi-agent systems under fixed topologies. Zbl 1402.93044
Zou, Wencheng; Xiang, Zhengrong
2018
Optimal control of linear multi-delay systems with piecewise constant delays. Zbl 1403.49024
Marzban, Hamid Reza; Hoseini, Sayyed Mohammad
2018
Approximate controllability of Caputo fractional neutral stochastic differential inclusions with state-dependent delay. Zbl 1417.93080
Yang, Min; Wang, Qiru
2018
Finite-time distributed formation tracking control of multi-UAVs with a time-varying reference trajectory. Zbl 1417.93228
Zhao, Wei; Li, Renfu; Zhang, Huaipin
2018
Some stability proofs on proxy-based sliding mode control. Zbl 1417.93239
Kikuuwe, Ryo
2018
$$H_\infty$$ dynamical observer-based control for descriptor systems. Zbl 1402.93103
Osorio-Gordillo, Gloria-Lilia; Darouach, Mohamed; Boutat-Baddas, Latifa; Astorga-Zaragoza, Carlos-Manuel
2018
Adaptive nonlinear gain based composite nonlinear feedback controller with input saturation. Zbl 1402.93155
Kulkarni, A.; Purwar, S.
2018
On the exponential stability of nonlinear delay systems with impulses. Zbl 1402.93217
You, Zhongli; Wang, JinRong
2018
Frequency weighted passivity preserving model reduction technique. Zbl 1402.93070
Imran, Muhammad; Ghafoor, Abdul
2018
Some new results on the global uniform asymptotic stability of time-varying dynamical systems. Zbl 1402.93216
Taieb, Nizar Hadj; Hammami, Mohamed Ali
2018
Exponential stability and stabilization for uncertain discrete-time periodic systems with time-varying delay. Zbl 1402.93195
Dong, Yali; Liang, Shuang; Guo, Liangliang; Wang, Wenqin
2018
Criteria for the exponential stability of linear evolution difference equations. Zbl 1402.93218
Zada, Akbar; Li, Tongxing; Arif, Muhammad; Lassoued, Dhaou
2018
Synchronization for coupled networks with Markov switching: ergodicity and $$M$$-matrix method. Zbl 1402.93048
Pan, Lijun; Cao, Jinde
2018
Regional boundary gradient observability of semilinear hyperbolic systems via HUM approach. Zbl 1402.93062
Khazari, A.; Boutoulout, A.; El Alaoui, F. Z.
2018
Controllability of linearized systems implies local finite-time stabilizability: applications to finite-time attitude control. Zbl 1402.93054
Jammazi, Chaker; Abichou, Azgal
2018
A survey on the theory of bonds. Zbl 1404.53009
Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter
2018
Controllability results for second order semilinear functional differential inclusions based on Kuratowski product measures. Zbl 1402.93057
Xiao, Jian-Zhong; Zhu, Xing-Hua; Yao, Zhong-Hao
2018
Spatial discretization error in Kalman filtering for discrete-time infinite dimensional systems. Zbl 1402.93243
Aalto, Atte
2018
Transformed Legendre spectral method for solving infinite horizon optimal control problems. Zbl 1403.49027
Shahini, M.; Mehrpouya, M. A.
2018
Time scale separation in control of a single-link flexible-joint robot manipulator. Zbl 1402.93180
Asadi, Mehrnoosh; Shandiz, Heydar Toossian; Khayatian, Alireza
2018
Feedback controls for exact remediability in disturbed dynamical systems. Zbl 1402.93123
Afifi, Larbi; Lasri, Karima; Joundi, Meriem; Amimi, Najia
2018
Dendriform-tree setting for fully non-commutative Fliess operators. Zbl 1402.93088
Duffaut Espinosa, Luis A.; Gray, W. Steven; Ebrahimi-Fard, Kurusch
2018
Position and posture control for a class of second-order nonholonomic underactuated mechanical system. Zbl 1402.93185
Xiong, Pei-yin; Lai, Xu-zhi; Wu, Min
2018
Absolute stability of Lurie systems with two additive time-varying delays. Zbl 1402.93194
Zhang, Rui; Li, Junmin; Jiao, Jianmin
2018
Adaptive full-order and reduced-order observers for one-sided Lur’e systems with set-valued mappings. Zbl 1402.93066
Shi, Min-Jie; Huang, Jun; Chen, Liang; Yu, Lei
2018
$$H_{\infty}$$ based anti-windup controller for two-dimensional discrete delayed systems in presence of actuator saturation. Zbl 1402.93104
Pal, Vipin Chandra; Negi, Richa
2018
Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term. Zbl 1458.93082
Liu, Wenjun; Chen, Kewang; Yu, Jun
2017
A numerical scheme for solving two-dimensional fractional optimal control problems by the Ritz method combined with fractional operational matrix. Zbl 1400.49033
Nemati, Ali; Yousefi, Sohrab Ali
2017
Optimal control of a class of non-linear time-delay systems via hybrid functions. Zbl 1397.93098
Dadkhah, Mahmood; Farahi, Mohammad Hadi; Heydari, Aghileh
2017
Iterative estimation for a non-linear IIR filter with moving average noise by means of the data filtering technique. Zbl 1417.93316
Wang, Yanjiao; Ding, Feng
2017
Tent-method application for minmax stabilization and maxmin testing. Zbl 1397.49036
Alexandrov, V. V.; Bugrov, D. I.; Corona Morales, G.; Tikhonova, K. V.
2017
A numerical approximation for delay fractional optimal control problems based on the method of moments. Zbl 1400.49031
Dehghan, Reza; Keyanpour, Mohammad
2017
Viscosity solutions for a system of PDEs and optimal switching. Zbl 1417.93154
El Asri, Brahim; Fakhouri, Imade
2017
Bogdanov-Takens bifurcation in a Hopfield network model with bidirectional connection and multiple delays. Zbl 1458.93098
Ben Hamed, Aws; Ben Hamed, Bassem
2017
Dissipative lag synchronization of chaotic Lur’e systems with unknown disturbances. Zbl 1397.93047
Zhao, Min; Liu, Ronghua; Gao, Yanbo
2017
Synchronization of complex networks with coupling delay via pinning control. Zbl 1397.93182
Yang, Xinsong; Cao, Jinde
2017
Continuous fractional sliding mode-like control for exact rejection of non-differentiable Hölder disturbances. Zbl 1397.93044
Muñoz-Vázquez, A. J.; Parra-Vega, V.; Sánchez-Orta, A.
2017
A collocation method via block-pulse functions for solving delay fractional optimal control problems. Zbl 1400.49032
Hosseinpour, Soleiman; Nazemi, Alireza
2017
Stabilization of an Euler-Bernoulli beam system with a tip mass subject to non-uniform bounded disturbance. Zbl 1397.93170
Li, Yanfang; Xu, Genqi; Han, Zhongjie
2017
Exponential stabilization for Timoshenko beam with different delays in the boundary control. Zbl 1397.93184
Liu, Xiu Fang; Xu, Gen Qi
2017
Stability of fractional-order periodic discrete-time linear systems. Zbl 1397.93158
Tehrani, H. A.; Esmaeili, J.
2017
Infinite-horizon non-zero-sum stochastic differential games with additive structure. Zbl 1416.91033
Jasso-Fuentes, Héctor; López-Barrientos, José Daniel; Escobedo-Trujillo, Beatris Adriana
2017
The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control. Zbl 1397.93072
Liu, Jianzhou; Wang, Li; Zhang, Juan
2017
Approximate controllability of impulsive fractional stochastic partial neutral integrodifferential inclusions with infinite delay. Zbl 1417.93081
Yan, Zuomao; Jia, Xiumei
2017
Distributed tracking control of the Schrödinger equation with internal disturbance. Zbl 1417.93235
Cui, Haoyue; Xu, Genqi; Han, Zhongjie
2017
Regional stabilization of semi-linear parabolic systems. Zbl 1417.93251
El Harraki, I.; El Alami, A.; Boutoulout, A.; Serhani, M.
2017
Optimal control problem for a class of bilinear systems via block pulse functions. Zbl 1418.49031
Balatif, Omar; Rachik, Mostafa; Labriji, El houssine; Rachik, Zineb
2017
Tracking control for uncertain fractional-order chaotic systems based on disturbance observer and neural network. Zbl 1417.93179
Shao, Shuyi; Chen, Mou; Wu, Qingxian
2017
Global asymptotic stabilization of a class of high-order feedforward systems with unknown control directions. Zbl 1397.93178
Liu, Wenhui; Xu, Shengyuan; Zhang, Baoyong; Zou, Yun
2017
Stabilization of a pendulum in dynamic boundary feedback with a memory type heat equation. Zbl 1397.93171
Lu, Lu; Wang, Jun-Min; Zhao, Dong
2017
Reliable dissipative sampled-data control for uncertain systems with actuator failures and application to vehicle dynamics. Zbl 1397.93131
Sakthivel, R.; Santra, Srimanta; Mathiyalagan, K.; Anthoni, S. Marshal
2017
Interpolation techniques for robust constrained model predictive control based on polyhedral invariant set. Zbl 1397.93057
Kheawhom, Soorathep; Bumroongsri, Pornchai
2017
A direct approach for approximate optimal control of integro-differential equations based on homotopy analysis and parametrization method. Zbl 1400.49038
Alipour, M.; Vali, M. A.; Borzabadi, A. H.
2017
Model reduction of discrete-time linear systems using Meixner-like filters. Zbl 1397.93039
Maraoui, Safa; Krifa, Abdelkader; Bouzrara, Kais
2017
Event-driven model-free control in motion control with comparisons. Zbl 1397.93148
Wang, Jing; Mounier, Hugues; Niculescu, Silviu-Iulian; Geamanu, Marcel-Stefan; Cela, Arben
2017
Exponential stabilization and motion planning of an overhead crane system. Zbl 1397.93166
Elharfi, Abdelhadi
2017
$$\mathcal{H}_{2}$$ model order reduction for bilinear systems based on the cross gramian. Zbl 1397.93040
Yang, Ping; Xu, Kang-Li; Jiang, Yao-Lin
2017
Stability and $$L_1$$-gain control for positive impulsive switched systems with mixed time-varying delays. Zbl 1397.93176
Li, Shuo; Xiang, Zhengrong
2017
The cross-motion invariant group and its application to kinematics. Zbl 1411.70005
Adorno, Bruno Vilhena; Fraisse, Philippe
2017
Iterative learning control for quasi-one-sided Lipschitz non-linear systems. Zbl 1417.93132
Gu, Weiguo; Fu, Qin; Wu, Jianrong
2017
The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. Zbl 1417.93145
Zhang, Juan; Liu, Jianzhou; Zha, Yaling
2017
...and 663 more Documents
all top 5

#### Cited by 4,111 Authors

 41 Xu, Gen-Qi 40 Guo, Bao-Zhu 30 Cao, Jinde 28 Mahmoud, Magdi Sadik Mostafa 25 Shi, Peng 21 Balachandran, Krishnan 21 Liu, Xinzhi 20 Fridman, Emilia 20 Lam, James 20 Sadek, Ibrahim S. 18 de la Sen, Manuel 18 Karafyllis, Iasson 18 Krstić, Miroslav 17 Teo, Kok Lay 16 Curtain, Ruth Frances 15 Han, Zhongjie 15 Ilchmann, Achim 15 Li, Xiaodi 15 Park, Juhyun (Jessie) 15 Spurgeon, Sarah K. 13 Bahaa, Gaber Mohamed 13 Effati, Sohrab 13 Guo, Wei 13 Han, Qinglong 13 Noakes, Lyle 13 Rosenblueth, Javier F. 13 Stanimirović, Predrag S. 13 Tatar, Nasser-eddine 13 Trinh, Hieu Minh 13 Wang, Junmin 12 Chen, Lansun 12 Fu, Xianlong 12 Karimi, Hamid Reza 12 Shieh, Leang-San 12 Tohidi, Emran 11 Benaissa, Abbes 11 Chentouf, Boumediène 11 Helmke, Uwe R. 11 Leiva, Hugo 11 Liu, Wenjun 11 Tsai, Jason Sheng-Hong 11 Wang, Jinrong 11 Xu, Shengyuan 10 Alsaadi, Fuad Eid S. 10 Balasubramaniam, Pagavathigounder 10 Bloch, Anthony M. 10 Bruch, John C. jun. 10 Colombo, Leonardo Jesus 10 Ding, Feng 10 Gao, Huijun 10 Mironchenko, Andrii 10 Niculescu, Silviu-Iulian 10 Pham Huu Anh Ngoc 10 Sloss, James M. 10 Stamov, Gani Trendafilov 10 Townley, Stuart B. 10 Vũ Ngoc Phát 9 Băleanu, Dumitru I. 9 Duan, Guangren 9 Edwards, Christopher 9 Fragoso, Marcelo Dutra 9 Fridman, Leonid M. 9 Guo, Shu-Mei 9 Karampetakis, Nicholas P. 9 Liu, Yungang 9 Martín de Diego, David 9 Messaoudi, Salim A. 9 Michiels, Wim 9 Mondié, Sabine 9 Oliveira, Ricardo C. L. F. 9 Pepe, Pierdomenico 9 Quadrat, Alban 9 Ryan, Eugene P. 9 Silva Leite, Fátima 9 Wang, Zidong 9 Yung, Siu Pang 9 Zhang, Lixian 9 Zhang, Qingling 8 Grabowski, Piotr 8 Gu, Keqin 8 Gugat, Martin 8 Jiang, Zhong-Ping 8 Karcanias, Nicos 8 Kobayashi, Toshihiro 8 Marzban, Hamid-Reza 8 Nešić, Dragan 8 Otsuka, Naohisa 8 Peres, Pedro L. D. 8 Pignotti, Cristina 8 Rakkiyappan, Rajan 8 Richard, Jean-Pierre 8 Sano, Hideki 8 Shao, Zhichao 8 Tasić, Milan B. 8 Ungureanu, Viorica Mariela 8 Vavřín, Zdeněk 8 Vijayakumar, Velusamy 8 Waurick, Marcus 8 Zwart, Hans J. 7 Antoulas, Athanasios C. ...and 4,011 more Authors
all top 5

#### Cited in 376 Journals

 270 Automatica 207 International Journal of Control 181 Systems & Control Letters 159 Journal of the Franklin Institute 101 Applied Mathematics and Computation 80 Journal of Mathematical Analysis and Applications 72 Mathematical Problems in Engineering 68 International Journal of Robust and Nonlinear Control 65 Linear Algebra and its Applications 58 Journal of Optimization Theory and Applications 55 International Journal of Systems Science 50 SIAM Journal on Control and Optimization 49 MCSS. Mathematics of Control, Signals, and Systems 47 Circuits, Systems, and Signal Processing 46 Nonlinear Dynamics 44 European Journal of Control 40 Asian Journal of Control 34 Abstract and Applied Analysis 33 Advances in Difference Equations 31 Journal of Computational and Applied Mathematics 30 Kybernetika 29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 Nonlinear Analysis. Hybrid Systems 28 Journal of Dynamical and Control Systems 27 International Journal of Systems Science. Principles and Applications of Systems and Integration 26 Computers & Mathematics with Applications 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Journal of Differential Equations 23 Applied Mathematics Letters 23 Journal of Systems Science and Complexity 21 International Journal of Applied Mathematics and Computer Science 19 Chaos, Solitons and Fractals 19 Optimal Control Applications & Methods 19 Applied Mathematical Modelling 18 Applied Mathematics and Optimization 18 Information Sciences 18 Journal of Difference Equations and Applications 18 Nonlinear Analysis. Real World Applications 17 Applicable Analysis 17 Complexity 17 Discrete Dynamics in Nature and Society 16 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Mathematical Physics 15 Stochastic Analysis and Applications 15 Mathematical and Computer Modelling 15 Multidimensional Systems and Signal Processing 15 International Journal of Adaptive Control and Signal Processing 14 Mathematical Methods in the Applied Sciences 14 Acta Applicandae Mathematicae 13 Integral Equations and Operator Theory 13 Automation and Remote Control 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Mathematical Sciences (New York) 12 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Applied Mathematics and Computing 11 Fuzzy Sets and Systems 11 Neural Networks 11 Journal of Applied Mathematics 11 Evolution Equations and Control Theory 10 Mathematics and Computers in Simulation 10 Journal of Vibration and Control 9 Numerical Functional Analysis and Optimization 9 Optimization 9 Discrete and Continuous Dynamical Systems. Series S 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Signal Processing 8 Journal of Global Optimization 8 Dynamics and Control 8 Computational and Applied Mathematics 8 Boundary Value Problems 8 Nonlinear Analysis. Theory, Methods & Applications 7 Chaos 7 International Journal of Geometric Methods in Modern Physics 7 Journal of Control Theory and Applications 7 Journal of Industrial and Management Optimization 7 Journal of Control Science and Engineering 7 Mathematical Control and Related Fields 6 Journal of Symbolic Computation 6 Numerical Algorithms 6 Journal of Dynamics and Differential Equations 6 Archives of Control Sciences 6 SIAM Journal on Scientific Computing 6 Advances in Computational Mathematics 6 Nonlinear Analysis. Modelling and Control 6 Journal of Evolution Equations 6 Journal of Geometric Mechanics 5 Computer Aided Geometric Design 5 Applied Numerical Mathematics 5 Dynamics and Stability of Systems 5 International Journal of Computer Mathematics 5 Mathematical Programming. Series A. Series B 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 5 Journal of Inequalities and Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Mediterranean Journal of Mathematics 5 Set-Valued and Variational Analysis 5 Palestine Journal of Mathematics 4 Mathematical Notes 4 Moscow University Mechanics Bulletin ...and 276 more Journals
all top 5

#### Cited in 58 Fields

 2,202 Systems theory; control (93-XX) 539 Ordinary differential equations (34-XX) 407 Calculus of variations and optimal control; optimization (49-XX) 381 Partial differential equations (35-XX) 224 Probability theory and stochastic processes (60-XX) 222 Numerical analysis (65-XX) 153 Mechanics of deformable solids (74-XX) 151 Operator theory (47-XX) 144 Biology and other natural sciences (92-XX) 137 Operations research, mathematical programming (90-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 99 Dynamical systems and ergodic theory (37-XX) 97 Mechanics of particles and systems (70-XX) 80 Computer science (68-XX) 58 Differential geometry (53-XX) 55 Integral equations (45-XX) 49 Difference and functional equations (39-XX) 45 Approximations and expansions (41-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Real functions (26-XX) 39 Information and communication theory, circuits (94-XX) 30 Statistics (62-XX) 28 Global analysis, analysis on manifolds (58-XX) 21 Functions of a complex variable (30-XX) 16 Commutative algebra (13-XX) 15 Associative rings and algebras (16-XX) 14 Fluid mechanics (76-XX) 12 General topology (54-XX) 11 Nonassociative rings and algebras (17-XX) 11 Topological groups, Lie groups (22-XX) 10 Quantum theory (81-XX) 9 Combinatorics (05-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Number theory (11-XX) 7 Field theory and polynomials (12-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 7 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX)