Optimal Control Applications & Methods

 Short Title: Optim. Control Appl. Methods Publisher: Wiley, Chichester ISSN: 0143-2087; 1099-1514/e Online: https://onlinelibrary.wiley.com/loi/10991514
 Documents Indexed: 1,381 Publications (since 1980) References Indexed: 886 Publications with 19,901 References.
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Authors

 12 Mahmoud, Magdi Sadik Mostafa 12 Sethi, Suresh P. 12 Teo, Kok Lay 10 Hartl, Richard F. 9 Zhang, Qingling 8 Grimble, Michael John 8 Lam, James 7 Diehl, Moritz Mathias 7 Feichtinger, Gustav 7 Maestre, José María 7 Marzban, Hamid-Reza 7 Rao, Anil V. 6 Kort, Peter M. 6 Yang, Guanghong 6 Yaz, Engin 6 Zhang, Huaguang 5 Bernstein, Dennis S. 5 Boukas, El-Kébir 5 Camacho, Eduardo Fernández 5 El Hajjaji, Ahmed 5 Gao, Xianwen 5 Hager, William W. 5 Haurie, Alain B. 5 Jones, Colin Neil 5 Lenhart, Suzanne M. 5 Niu, Yugang 5 Parlar, Mahmut 5 Qi, Wenhai 5 Sadek, Ibrahim S. 5 Shieh, Leang-San 5 Sirisena, Harsha R. 5 Tsai, Jason Sheng-Hong 4 Braatz, Richard D. 4 Bruch, John C. jun. 4 Caputo, Michael R. 4 Chaabane, Mohamed 4 Chachuat, Benoît 4 Chernous’ko, Feliks Leonidovich 4 Cliff, Eugene M. 4 Costanza, Vicente 4 Coulbeck, B. 4 Drăgan, Vasile 4 Effati, Sohrab 4 El-Hawary, M. E. 4 Eslami, Mansour 4 Fabien, Brian C. 4 Ferramosca, Antonio 4 Goh, Chuen-Jin 4 Gómez-Aguilar, José Francisco 4 González, Alejandro Hernán 4 Gourishankar, V.-G. 4 Haddad, Wassim Michael 4 Khan, Muhammad Altaf 4 Kolmanovsky, Ilya V. 4 Lee, Allan Y. 4 Li, Jianxun 4 Li, Jing 4 Liang, Zhibin 4 Liu, Wanquan 4 Poznyak, Aleksandr Semënovich 4 Rapaport, Alain 4 Rehbock, Volker 4 Rivadeneira, Pablo S. 4 Sanchez, Edgar N. 4 Shi, Peng 4 Shinar, Josef 4 Sloss, James M. 4 Sreeram, Victor 4 Su, Hanguang 4 Thompson, Gerald L. 4 Tran, Hien T. 4 Unbehauen, Heinz 4 Wang, Guoliang 4 Xu, Shengyuan 4 Yan, Weiyong 4 Yavin, Yaakov 4 Yoshioka, Hidekazu 4 Zhang, Huanshui 4 Zhou, Wuneng 3 Adali, Sarp 3 Álvarez, José Domingo 3 Arora, Jasbir S. 3 Bamani, Ali H. 3 Banda, Siva S. 3 Banks, Harvey Thomas 3 Bartholomew-Biggs, Michael C. 3 Barton, Paul I. 3 Bayen, Térence 3 Berenguel, Manuel 3 Boukili, Bensalem 3 Christensen, G. S. 3 Danielson, Claus 3 De Moor, Bart L. R. 3 Feng, Zhiguang 3 Fischer, Thomas Robert 3 Gaimon, Cheryl 3 Geromel, Jose Claudio 3 Greiner, Alfred 3 Grüne, Lars 3 Guo, Shu-Mei ...and 2,472 more Authors
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Fields

 1,012 Systems theory; control (93-XX) 630 Calculus of variations and optimal control; optimization (49-XX) 240 Operations research, mathematical programming (90-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Biology and other natural sciences (92-XX) 100 Numerical analysis (65-XX) 90 Ordinary differential equations (34-XX) 76 Probability theory and stochastic processes (60-XX) 65 Mechanics of particles and systems (70-XX) 51 Partial differential equations (35-XX) 29 Mechanics of deformable solids (74-XX) 25 Computer science (68-XX) 21 Fluid mechanics (76-XX) 16 Information and communication theory, circuits (94-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Optics, electromagnetic theory (78-XX) 9 Statistics (62-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Geophysics (86-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

Citations contained in zbMATH Open

820 Publications have been cited 3,512 times in 2,940 Documents Cited by Year
Optimal control of an HIV immunology model. Zbl 1072.92509
Joshi, Hem Raj
2002
ACADO toolkit – an open-source framework for automatic control and dynamic optimization. Zbl 1218.49002
Houska, Boris; Ferreau, Hans Joachim; Diehl, Moritz
2011
Optimal control of deterministic epidemics. Zbl 1069.92518
Behncke, Horst
2000
An $$hp$$-adaptive pseudospectral method for solving optimal control problems. Zbl 1266.49066
Darby, Christopher L.; Hager, William W.; Rao, Anil V.
2011
New results on $$\mathcal{H}_\infty$$ dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information. Zbl 1305.93184
Wei, Yanling; Qiu, Jianbin; Karimi, Hamid Reza; Wang, Mao
2014
Deterministic and stochastic optimization of a dynamic advertising model. Zbl 0505.93081
Sethi, Suresh P.
1983
Four inventory models for deteriorating items with time varying demand and partial backlogging: a cost comparison. Zbl 1073.90511
Skouri, K.; Papachristos, S.
2003
Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039
Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M.
2010
Optimal control of innate immune response. Zbl 1072.92510
Stengel, Robert F.; Ghigliazza, Raffaele; Kulkarni, Nilesh; Laplace, Olivier
2002
Robust and well-conditioned eigenstructure assignment via Sylvester’s equation. Zbl 0512.93035
Cavin, R. K. III; Bhattacharyya, S. P.
1983
On the optimal control for fractional multi-strain TB model. Zbl 1353.49029
Sweilam, N. H.; Al-Mekhlafi, S. M.
2016
Robust disturbance attenuation for discrete-time active fault tolerant control systems with uncertainties. Zbl 1073.93568
Shi, Peng; Boukas, El Kebir; Nguang, Sing Kiong; Guo, Xianping
2003
New smoothing techniques for solving bang-bang optimal control problems – numerical results and statistical interpretation. Zbl 1072.49502
Bertrand, R.; Epenoy, R.
2002
A $$ph$$ mesh refinement method for optimal control. Zbl 1329.49048
Patterson, Michael A.; Hager, William W.; Rao, Anil V.
2015
A collocation-type method for linear quadratic optimal control problems. Zbl 0873.49023
Elnagar, Gamal N.; Razzahi, Mohsen
1997
Robust $$H_\infty$$ control for uncertain linear neutral delay systems. Zbl 1072.93506
Xu, Shengyuan; Lam, James; Yang, Chengwu
2002
The economic lot size of the integrated vendor-buyer inventory system derived without derivatives. Zbl 1072.90503
Yang, P. C.; Wee, H. M.
2002
Simulation of pedestrian flows by optimal control and differential games. Zbl 1073.93553
Hoogendoorn, Serge; Bovy, Piet H. L.
2003
Time-optimal control of automobile test drives with gear shifts. Zbl 1204.49033
Kirches, Christian; Sager, Sebastian; Bock, Hans Georg; Schlöder, Johannes P.
2010
Robust guaranteed cost control of discrete-time networked control systems. Zbl 1213.93180
Wu, Ligang; Lam, James; Yao, Xiuming; Xiong, Junlin
2011
Real-time computation of feedback controls for constrained optimal control problems. II: A correction method based on multiple shooting. Zbl 0675.49024
Pesch, Hans Josef
1989
Mathematical formulation of hepatitis B virus with optimal control analysis. Zbl 1425.92133
Ullah, Saif; Khan, Muhammad Altaf; Gómez-Aguilar, J. F.
2019
Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient. Zbl 1258.49066
Clever, D.; Lang, J.
2012
Solution of linear optimal control problems with time delay using a composite Chebyshev finite difference method. Zbl 1272.49051
Marzban, H. R.; Hoseini, S. M.
2013
Dissipative control for singular Markovian jump systems with time delay. Zbl 1301.93151
Wang, Guoliang; Zhang, Qingling; Yang, Chunyu
2012
Nonlinear convex and concave relaxations for the solutions of parametric ODEs. Zbl 1273.93089
Scott, Joseph K.; Chachuat, Benoit; Barton, Paul I.
2013
Optimal control of time-delay systems by dynamic programming. Zbl 0776.49021
1992
Optimal investment and proportional reinsurance with constrained control variables. Zbl 1237.91133
Liang, Zhibin; Bai, Lihua; Guo, Junyi
2011
A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems. Zbl 1272.49065
Shamsi, M.
2011
Method of successive approximations for solution of optimal control problems. Zbl 0485.49003
Chernousko, F. L.; Lyubushin, A. A.
1982
Real-time computation of feedback controls for constrained optimal control problems. I: Neighbouring extremals. Zbl 0675.49023
Pesch, Hans Josef
1989
Optimal and sub-optimal control in Dengue epidemics. Zbl 1069.92519
Caetano, Marco Antonio Leonel; Yoneyama, Takashi
2001
Equilibria and threats in a fishery management game. Zbl 0631.90017
Hämäläinen, R. P.; Haurie, A.; Kaitala, V.
1985
Fault detection for linear stochastic systems with sensor stuck faults. Zbl 1258.93098
Li, Xiao-Jian; Yang, Guang-Hong
2012
Solution of piecewise constant delay systems using hybrid of block-pulse and Chebyshev polynomials. Zbl 1270.93048
Marzban, H. R.; Shahsiah, M.
2011
Self-triggered linear quadratic networked control. Zbl 1300.93024
Souza, M.; Deaecto, G. S.; Geromel, J. C.; Daafouz, J.
2014
Simultaneous fault detection and control design for switched linear systems based on dynamic observer. Zbl 1273.93091
Davoodi, M. R.; Golabi, A.; Talebi, H. A.; Momeni, H. R.
2013
KT-pseudoinvex multidimensional control problem. Zbl 1398.93050
Treanţă, Savin; Arana-Jiménez, Manuel
2018
The geometry of the barrier in the game of two cars. Zbl 0446.90095
Pachter, Meir; Getz, Wayne M.
1980
Robust extended Kalman filtering for nonlinear systems with multiplicative noises. Zbl 1213.93192
Kai, Xiong; Liangdong, Liu; Yiwu, Liu
2011
On the co-infection of dengue fever and Zika virus. Zbl 1425.92179
Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-aguilar, J. F.
2019
Fractional linear control systems with Caputo derivative and their optimization. Zbl 1333.93124
Kamocki, Rafał; Majewski, Marek
2015
Computations and time-optimal controls. Zbl 0861.49008
Kaya, C. Yalçin; Noakes, J. Lyle
1996
State parameterization approach to the solution of optimal control problems. Zbl 0476.49022
Sirisena, H. R.; Chou, F. S.
1981
Distributed control of layered orthotropic plates with damping. Zbl 0652.49003
Adali, Sarp; Sadek, Ibrahim S.; Sloss, James M.; Bruch, John C. jun.
1988
Optimal control problems with differential inclusions: Sufficiency conditions and an application to a production-inventory model. Zbl 0553.49013
Hartl, Richard F.; Sethi, Suresh P.
1984
Robust reliable control for discrete-time-delay systems with stochastic nonlinearities and multiplicative noises. Zbl 1217.93176
Liu, Yisha; Wang, Zidong; Wang, Wei
2011
Optimal preview control: a review. Zbl 1310.93001
Birla, Nidhika; Swarup, Akhilesh
2015
Relaxation methods for hyperbolic PDE mixed-integer optimal control problems. Zbl 1386.49047
Hante, Falk M.
2017
Less conservative results on stability for linear systems with a time-varying delay. Zbl 1282.93227
Zeng, Hong-Bing; He, Yong; Wu, Min; Xiao, Shen-Ping
2013
The game of two elliptical ships. Zbl 0538.90106
Miloh, T.
1983
Towards global solutions of optimal discrete-valued control problems. Zbl 1275.49057
Woon, Siew Fang; Rehbock, Volker; Loxton, Ryan
2012
Optimal control for a nonlinear mathematical model of tumor under immune suppression: a numerical approach. Zbl 1401.92113
Sweilam, N. H.; Al-Mekhlafi, S. M.
2018
Numerical solution of time-delayed optimal control problems with terminal inequality constraints. Zbl 0787.93048
Lee, Allan Y.
1993
A gradient flow approach to computing LQ optimal output feedback gains. Zbl 0815.49025
Yan, Wei-Yong; Teo, Kok L.; Moore, John B.
1994
Necessary/sufficient conditions for Pareto optimum in cooperative difference game. Zbl 1407.91030
Lin, Yaning; Zhang, Weihai
2018
Optimal control of linear multi-delay systems based on a multi-interval decomposition scheme. Zbl 1336.49036
Marzban, Hamid Reza
2016
Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems. Zbl 1069.49503
Rao, Anil V.; Mease, Kenneth D.
2000
Computations for bang-bang constrained optimal control using a mathematical programming formulation. Zbl 1073.49019
Kaya, C. Yalçın; Lucas, Stephen K.; Simakov, Sergey T.
2004
Reliable $$H_\infty$$ filter design for a class of discrete-time nonlinear systems with time-varying delay. Zbl 1204.93058
Guo, Xiang-Gui; Yang, Guang-Hong
2010
Electric transmission lines: control and numerical discretization. Zbl 1348.93028
Göttlich, Simone; Herty, Michael; Schillen, Peter
2016
Finite-time control and $$L_{1}$$-gain analysis for positive switched systems. Zbl 1331.93167
Zhang, Junfeng; Han, Zhengzhi; Zhu, Fubo
2015
Portfolio optimization for jump-diffusion risky assets with common shock dependence and state dependent risk aversion. Zbl 1362.93170
Zhang, Caibin; Liang, Zhibin
2017
Minimum energy control of time-delay systems via Walsh functions. Zbl 0513.93033
Palanisamy, K. R.; Rao, Ganti Prasada
1983
Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach. Zbl 1391.93113
Jajarmi, Amin; Baleanu, Dumitru
2018
Optimality of greedy and sustainable policies in the management of renewable resources. Zbl 1073.49018
Rapaport, Alain; Sraidi, S.; Terreaux, J. P.
2003
Stabilization of jump linear systems with mode-dependent time-varying delays. Zbl 1225.93119
Zhao, Xudong; Zeng, Qingshuang
2011
Distributed model predictive control based on a cooperative game. Zbl 1225.93045
Maestre, J. M.; Muñoz de la Peña, D.; Camacho, E. F.
2011
Estimation and synthesis of reachable set for discrete-time periodic systems. Zbl 1348.93042
Chen, Yong; Lam, James
2016
Linear-quadratic control problems with $$\mathbf{L}^{\mathbf{1}}$$-control cost. Zbl 1329.49060
Alt, Walter; Schneider, Christopher
2015
A note on avoidance control. Zbl 0528.49004
Leitmann, G.; Skowronski, J.
1983
Optimal control strategy of SEIR endemic model with continuous age-structure in the exposed and infectious classes. Zbl 1401.92185
Khan, Asaf; Zaman, Gul
2018
Maximum principle for optimal control of anticipated forward-backward stochastic differential delayed systems with regime switching. Zbl 1333.93261
Lv, Siyu; Tao, Ran; Wu, Zhen
2016
Optimal control applications in biomedical engineering - A survey. Zbl 0467.92006
Swan, George W.
1981
A decoupling pole placement self-tuning controller for a class of multivariate processes. Zbl 0608.93044
McDermott, P. E.; Mellichamp, D. A.
1986
Stabilizing optimal control of bilinear systems with a generalized cost. Zbl 0552.93050
Tzafestas, S. G.; Anagnostou, K. E.; Pimenides, T. G.
1984
Environmental quality versus economic performance: a dynamic game approach. Zbl 1207.91045
Boucekkine, Raouf; Krawczyk, Jacek B.; Vallée, Thomas
2011
Output feedback control for stochastic Markovian jumping systems via sliding mode design. Zbl 1213.93059
Chen, Bei; Niu, Yugang; Huang, Heqing
2011
An efficient discretization scheme for solving nonlinear optimal control problems with multiple time delays. Zbl 1346.49044
Marzban, H. R.; Hoseini, S. M.
2016
Autogenerating microsecond solvers for nonlinear MPC: a tutorial using ACADO integrators. Zbl 1330.93100
Quirynen, R.; Vukov, M.; Zanon, M.; Diehl, M.
2015
Primer vector theory applied to the linear relative-motion equations. Zbl 0454.49016
Jezewski, Donald
1980
Global solutions of a class of discrete-time backward nonlinear equations on ordered Banach spaces with applications to Riccati equations of stochastic control. Zbl 1273.93044
Ungureanu, V. M.; Dragan, V.; Morozan, T.
2013
Stability criteria for continuous-time systems with additive time-varying delays. Zbl 1287.93062
Zhu, Xun-Lin; Wang, Youyi; Du, Xin
2014
Semianalytical minimum-time solution for the optimal control of a vehicle subject to limited acceleration. Zbl 1391.93147
Bertolazzi, Enrico; Frego, Marco
2018
An interior penalty method for optimal control problems with state and input constraints of nonlinear systems. Zbl 1336.49038
Malisani, P.; Chaplais, F.; Petit, N.
2016
Controllability of quasi-linear delay systems in Banach spaces. Zbl 0849.93008
Balachandran, K.; Balasubramaniam, P.; Dauer, J. P.
1995
Numerical solution of time-delayed optimal control problems by iterative dynamic programming. Zbl 1069.49501
Chen, Cheng-Liang; Sun, Daim-Yuang; Chang, Chia-Yuan
2000
An application of robust control technique to manufacturing systems with uncertain processing time. Zbl 1070.90513
Boukas, E. K.; Shi, P.; Agarwal, R. K.
2000
Switching between multivariable controllers. Zbl 1073.93561
Niemann, Henrik; Stoustrup, Jakob; Abrahamsen, Rune B.
2004
Optimal pattern of technology adoptions under embodiment: a multi-stage optimal control approach. Zbl 1227.49028
Saglam, Cagri
2011
A $$\mu$$-dependent approach to $$H_{\infty }$$ control of uncertain switched linear systems with average dwell time. Zbl 1213.93045
Zhang, Lixian; Boukas, El-Kebir; Shi, Peng; Chen, Zhaobo
2011
Heterogeneous discounting in economic problems. Zbl 1262.91086
Marín-Solano, Jesús; Patxot, Concepció
2012
Simultaneous actuator and sensor fault estimation for descriptor LPV system based on $$H_{\infty}$$ reduced-order observer. Zbl 1351.93144
Li, Xiaohang; Zhu, Fanglai
2016
Robust finite-time boundedness of $$H_{\infty}$$ filtering for switched systems with time-varying delay. Zbl 1336.93158
Cheng, Jun; Xiong, Lianglin; Wang, Bo; Yang, Jun
2016
Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods. Zbl 1329.49045
Françolin, Camila C.; Benson, David A.; Hager, William W.; Rao, Anil V.
2015
Optimal control of continuous systems with impulse controls. Zbl 1329.49063
Leander, Rachel; Lenhart, Suzanne; Protopopescu, Vladimir
2015
Existence and stability analysis of optimal control. Zbl 1304.49006
Yu, Jian; Liu, Zi-Xin; Peng, Ding-Tao; Xu, Dao-Yun; Zhou, Yong-Hui
2014
Adaptive control algorithms for waste water treatment and pH neutralization. Zbl 0502.93047
Goodwin, Graham C.; McInnis, Bayliss C.; Long, Robert S.
1982
A continuous-time approach to discrete-time self-tuning control. Zbl 0504.93043
Gawthrop, P. J.
1982
Globally optimal control of self-adjoint distributed systems. Zbl 0528.49002
Meirovitch, L.; Silverberg, L. M.
1983
Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates. Zbl 1468.49032
Kumar, Nitin; Mehra, Mani
2021
Optimal control problems with Atangana-Baleanu fractional derivative. Zbl 1468.49022
Tajadodi, Haleh; Khan, Aziz; Gómez-Aguilar, José Francisco; Khan, Hasib
2021
Analysis of COVID-19 and comorbidity co-infection model with optimal control. Zbl 1486.92266
Omame, Andrew; Sene, Ndolane; Nometa, Ikenna; Nwakanma, Cosmas I.; Nwafor, Emmanuel U.; Iheonu, Nneka O.; Okuonghae, Daniel
2021
A co-infection model for oncogenic human papillomavirus and tuberculosis with optimal control and cost-effectiveness analysis. Zbl 1472.92234
Omame, Andrew; Okuonghae, Daniel
2021
Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations. Zbl 1484.49056
Miller, Alexander T.; Hager, William W.; Rao, Anil V.
2021
Nonfragile $$H_\infty$$ fault detection for fuzzy discrete systems under stochastic communication protocol. Zbl 1469.93070
Ren, Weijian; Sun, Shibo; Huo, Fengcai; Lu, Yang
2021
Optimal control of a crop irrigation model under water scarcity. Zbl 1486.92342
Boumaza, Kenza; Kalboussi, Nesrine; Rapaport, Alain; Roux, Sébastien; Sinfort, Carole
2021
Survey on stochastic distribution systems: a full probability density function control theory with potential applications. Zbl 1485.93560
Wang, Aiping; Wang, Hong
2021
Discrete-time $$\mathscr{H}_2$$ state-feedback control of polytopic LPV systems. Zbl 1472.93113
Pereira, Renan L.; De Oliveira, Matheus S.; Kienitz, Karl H.
2021
Guaranteed cost control of fractional-order linear uncertain systems with time-varying delay. Zbl 1472.93102
Chen, Liping; Wu, Ranchao; Yuan, Liguo; Yin, Lisheng; Chen, YangQuan; Xu, Shuiqing
2021
Stochastic impulse control of nonsmooth dynamics with partial observation and execution delay: application to an environmental restoration problem. Zbl 1476.93165
Yoshioka, Hidekazu; Yaegashi, Yuta
2021
Predictor-based $$H_\infty$$ leader-following consensus of stochastic multi-agent systems with random input delay. Zbl 1472.93171
Li, Ke; Mu, Xiaowu
2021
Event-triggered decentralized optimal fault tolerant control for mismatched interconnected nonlinear systems through adaptive dynamic programming. Zbl 1472.93118
Luo, Fangchao; Zhao, Bo; Liu, Derong
2021
Solution of a specific class of nonlinear fractional optimal control problems including multiple delays. Zbl 1468.49021
Marzban, Hamid Reza
2021
Optimal control of nonzero sum game mean-field delayed Markov regime-switching forward-backward system with Lévy processes. Zbl 1469.93113
Deepa, R.; Muthukumar, P.; Hafayed, Mokhtar
2021
Reachable set estimation for neutral Markovian jump systems with mode-dependent time-varying delays. Zbl 1469.93004
Jiang, Xiangli; Xia, Guihua; Feng, Zhiguang; Jiang, Zhengyi
2021
Numerical investigation of distributed-order fractional optimal control problems via Bernstein wavelets. Zbl 1468.49034
Rahimkhani, P.; Ordokhani, Y.
2021
Asymptomatic carriers in transmission dynamics of dengue with control interventions. Zbl 1467.92203
Jan, Rashid; Khan, Muhammad Altaf; Gómez-Aguilar, J. F.
2020
Optimal impulse control of a SIR epidemic. Zbl 1470.92337
Piunovskiy, Alexey; Plakhov, Alexander; Tumanov, Mikhail
2020
Optimal control of HIV treatment and immunotherapy combination with state and control delays. Zbl 1467.92100
Silva, Cristiana J.; Maurer, Helmut
2020
An asymmetric information mean-field type linear-quadratic stochastic Stackelberg differential game with one leader and two followers. Zbl 1469.91011
Wang, Guangchen; Wang, Yu; Zhang, Susu
2020
Experimental validation of a semi-distributed sequential quadratic programming method for optimal coordination of automated vehicles at intersections. Zbl 1469.93077
Hult, Robert; Zanon, Mario; Frison, Gianluca; Gros, Sébastien; Falcone, Paolo
2020
Economic model predictive control for time-varying system: performance and stability results. Zbl 1451.93095
Grüne, Lars; Pirkelmann, Simon
2020
Fibonacci wavelets and their applications for solving two classes of time-varying delay problems. Zbl 1467.93201
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab-Ali
2020
Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint. Zbl 1469.49031
2020
A framework for robust quadratic optimal control with parametric dynamic model uncertainty using polynomial chaos. Zbl 1467.93077
Lefebvre, Tom; De Belie, Frederik; Crevecoeur, Guillaume
2020
Exact penalty functions for optimal control problems. II: Exact penalization of terminal and pointwise state constraints. Zbl 1466.49022
Dolgopolik, M. V.
2020
Optimal drug control in a four-dimensional HIV infection model. Zbl 1467.92125
Shamsara, Elham; Afsharnezhad, Zahra; Effati, Sohrab
2020
Asynchronous control of T-S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity. Zbl 1467.93200
Xu, Chuancan; Tong, Dongbing; Chen, Qiaoyu; Zhou, Wuneng
2020
A hybrid stochastic river environmental restoration modeling with discrete and costly observations. Zbl 1469.92140
Yoshioka, Hidekazu; Tsujimura, Motoh; Hamagami, Kunihiko; Yoshioka, Yumi
2020
A necessary and sufficient condition of optimality for a class of multidimensional control problems. Zbl 1481.49024
Treanţă, Savin
2020
Optimal control and differential game solutions for social distancing in response to epidemics of infectious diseases on networks. Zbl 1469.92108
Dashtbali, Mohammadali; Malek, Alaeddin; Mirzaie, Mehdi
2020
Optimal control analysis of a tuberculosis model with exogenous re-infection and incomplete treatment. Zbl 1469.92071
Abimbade, S. F.; Olaniyi, S.; Ajala, O. A.; Ibrahim, M. O.
2020
Global cluster synchronization in finite time for complex dynamical networks with hybrid couplings via aperiodically intermittent control. Zbl 1469.93094
Yang, Qijng; Wu, Huaiqin; Cao, Jinde
2020
A hybrid modified grey wolf optimization-sine cosine algorithm-based power system stabilizer parameter tuning in a multimachine power system. Zbl 1469.93043
Devarapalli, Ramesh; Bhattacharyya, Biplab
2020
Solving fractional optimal control problems by new Bernoulli wavelets operational matrices. Zbl 1468.49035
Barikbin, Zahra; Keshavarz, Elham
2020
Optimal control of district heating networks using a reduced order model. Zbl 1469.93044
Rein, Markus; Mohring, Jan; Damm, Tobias; Klar, Axel
2020
Towards multiobjective optimization and control of smart grids. Zbl 1451.93102
Sauerteig, Philipp; Worthmann, Karl
2020
Optimal reinsurance and investment in danger-zone and safe-region. Zbl 1466.91261
Han, Xia; Liang, Zhibin
2020
Fractional Chebyshev functional link neural network-optimization method for solving delay fractional optimal control problems with Atangana-Baleanu derivative. Zbl 1467.93137
Kheyrinataj, Farzaneh; Nazemi, Alireza
2020
Optimization of time-variable-parameter model for data-based soft sensor of industrial debutanizer. Zbl 1467.93215
2020
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. Zbl 1467.93029
Xausa, Ilaria; Baier, Robert; Bokanowski, Olivier; Gerdts, Matthias
2020
Event-triggered $$H_\infty$$ synchronization control for switched master-slave systems subject to stochastic cyber attacks and quantization. Zbl 1467.93211
Li, Xianling; Liu, Ziyang; Qiu, Zhiqiang; Qi, Yiwen; Yuan, Shuo
2020
PolyMPC: an efficient and extensible tool for real-time nonlinear model predictive tracking and path following for fast mechatronic systems. Zbl 1467.93094
Listov, Petr; Jones, Colin
2020
Robust finite-time control and estimation for uncertain time-delayed switched systems by observer-based sliding mode technique. Zbl 1470.93041
Nie, Rong; Ai, Qilong; He, Shuping; Yan, Zhiguo; Luan, Xiaoli; Liu, Fei
2020
Distributed adaptive consensus tracking for uncertain high-order nonlinear multiagent systems with event-triggered communication. Zbl 1469.93096
Long, Jiang; Wang, Wei; Huang, Jiangshuai; Fan, Huijin
2020
Stable impulsive zone model predictive control for type $$1$$ diabetic patients based on a long-term model. Zbl 1469.92061
González, Alejandro H.; Rivadeneira, Pablo S.; Ferramosca, Antonio; Magdelaine, Nicolas; Moog, Claude H.
2020
An optimal control model for cloud seeding in a deterministic and stochastic environment. Zbl 1469.93120
Misra, Arvind Kumar; Tripathi, Amita
2020
Pseudospectral method for fractional infinite horizon optimal control problems. Zbl 1468.49033
Yang, Yin; Skandari, M. H. Noori
2020
Second-order necessary optimality conditions for a discrete optimal control problem with nonlinear state equations. Zbl 1470.49044
Toan, N. T.; Thuy, L. Q.; Ansari, Q. H.; Yao, J.-C.
2020
Infinite horizon optimal control for mean-field stochastic delay systems driven by Teugels martingales under partial information. Zbl 1469.93124
Yang, Bixuan; Wu, Jinbiao
2020
Mathematical analysis of an optimal control problem for the predator-prey model with disease in prey. Zbl 1469.92097
Sowndarrajan, Puthur Thangaraj; Nyamoradi, Nemat; Shangerganesh, Lingeshwaran; Manimaran, Jeyaraj
2020
An exact $$l_1$$ penalty function method for a multitime control optimization problem with data uncertainty. Zbl 1469.93014
Jayswal, Anurag; Preeti; Arana-Jiménez, Manuel
2020
Resilient distributed model predictive control for energy management of interconnected microgrids. Zbl 1451.93086
Ananduta, Wicak; Maestre, José María; Ocampo-martinez, Carlos; Ishii, Hideaki
2020
Distributed model predictive control strategies for coordination of electro-thermal devices in a cooperative energy management concept. Zbl 1451.93105
Stoyanova, Ivelina; Gümrükcü, Erdem; Aragon, Gustavo; Hidalgo-rodriguez, Diego I.; Monti, Antonello; Myrzik, Johanna
2020
A binary-regularization-based model predictive control applied to generation scheduling in concentrating solar power plants. Zbl 1451.93090
Cojocaru, Emilian G.; Bravo, José M.; Vasallo, Manuel J.; Marín, Diego
2020
Quantized event-triggered $$H_\infty$$ control of linear networked systems with time-varying delays and packet losses. Zbl 1451.93243
Soltaninejad, Moein; Ghiasi, Amir Rikhtehgar; Ghaemi, Sehraneh; Bagheri, Peyman
2020
Mathematical formulation of hepatitis B virus with optimal control analysis. Zbl 1425.92133
Ullah, Saif; Khan, Muhammad Altaf; Gómez-Aguilar, J. F.
2019
On the co-infection of dengue fever and Zika virus. Zbl 1425.92179
Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-aguilar, J. F.
2019
Cholera-schistosomiasis coinfection dynamics. Zbl 1425.92195
Okosun, K. O.; Khan, M. A.; Bonyah, E.; Okosun, O. O.
2019
Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay. Zbl 1425.93300
Durga, N.; Muthukumar, P.
2019
Distributed model predictive control for continuous-time nonlinear systems based on suboptimal ADMM. Zbl 1411.93070
Bestler, Anja; Graichen, Knut
2019
Robust guaranteed cost control for time-delay fractional-order neural networks systems. Zbl 1425.93085
Thuan, Mai Viet; Huong, Dinh Cong
2019
Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management. Zbl 1425.93307
Yoshioka, Hidekazu; Yoshioka, Yumi
2019
Optimal control strategy for the immunotherapeutic treatment of HIV infection with state constraint. Zbl 1425.92125
Biswas, Md. Haider Ali; Haque, Md. Mohidul; Mallick, Uzzwal Kumar
2019
Optimal control of differential-algebraic equations from an ordinary differential equation perspective. Zbl 1430.49021
Ilchmann, Achim; Leben, Leslie; Witschel, Jonas; Worthmann, Karl
2019
Optimal control of a delayed SIRC epidemic model with saturated incidence rate. Zbl 1429.92130
Li, Lele; Sun, Caixia; Jia, Jianwen
2019
Exponential stability analysis for 2D discrete switched systems with state delays. Zbl 1451.93319
Badie, Khalid; Alfidi, Mohammed; Chalh, Zakaria
2019
A robust and accurate disturbance damping control design for nonlinear dynamical systems. Zbl 1425.93079
2019
Maximum principle for optimal control of McKean-Vlasov FBSDEs with Lévy process via the differentiability with respect to probability law. Zbl 1425.93304
Meherrem, Shahlar; Hafayed, Mokhtar
2019
Fractional Chebyshev pseudospectral method for fractional optimal control problems. Zbl 1427.49037
Habibli, M.; Skandari, M. H. Noori
2019
Nonfragile reliable control for positive switched systems with actuator faults and saturation. Zbl 1425.93081
Li, Miao; Zhang, Junfeng; Jia, Xianglei; Yang, Haoyue
2019
Optimal control of second-order and high-order descriptor systems. Zbl 1427.49022
Zhang, Liping; Zhang, Guoshan; Liu, Wanquan
2019
A class of stochastic hyperbolic evolution equations via weighted pseudo almost periodic coefficients and optimal controls. Zbl 1425.93306
Yan, Zuomao; Han, Li
2019
Minimal time crisis versus minimum time to reach a viability kernel: a case study in the prey-predator model. Zbl 1458.92060
Bayen, Terence; Rapaport, Alain
2019
Exact penalty functions for optimal control problems I: main theorem and free-endpoint problems. Zbl 1451.49026
Dolgopolik, M. V.; Fominyh, A. V.
2019
Comparative performance analysis of 2DOF state feedback controller for automatic generation control using whale optimization algorithm. Zbl 1411.93079
Simhadri, Kumara Swamy; Mohanty, Banaja; Panda, Sanjaya Kumar
2019
Design of robust nonfragile $$H_\infty$$ controller for uncertain nonlinear polynomial systems. Zbl 1411.93066
2019
Robust $$H_\infty$$ guaranteed cost control for discrete-time switched singular systems with time-varying delay. Zbl 1411.93065
Regaieg, Mohamed Amin; Kchaou, Mourad; El Hajjaji, Ahmed; Chaabane, Mohamed
2019
Inverse optimal control for unmanned aerial helicopters with disturbances. Zbl 1411.49019
Ma, Haoxiang; Chen, Mou; Wu, Qingxian
2019
Certainty equivalence principle in stochastic differential games: an inverse problem approach. Zbl 1426.91026
Josa-Fombellida, Ricardo; Rincón-Zapatero, Juan Pablo
2019
Zero-order asymptotic solution of a class of singularly perturbed linear-quadratic problems with weak controls in a critical case. Zbl 1427.49041
Kurina, Galina; Hoai, Nguyen Thi
2019
Robust $$\mathrm H^{\infty}$$ fuzzy control design for dithered nonlinear large-scale systems with multiple time delays. Zbl 1429.93201
Hsiao, Feng-hsiag
2019
LQ control of unknown discrete-time linear systems – a novel approach and a comparison study. Zbl 1429.93215
Li, Nan; Kolmanovsky, Ilya; Girard, Anouck
2019
Structure-preserving local optimal control of mechanical systems. Zbl 1430.49032
Flaßkamp, Kathrin; Murphey, Todd D.
2019
Distributed inexact dual consensus ADMM for network resource allocation. Zbl 1451.93355
Jian, Long; Hu, Jiangping; Wang, Jun; Shi, Kaibo
2019
KT-pseudoinvex multidimensional control problem. Zbl 1398.93050
Treanţă, Savin; Arana-Jiménez, Manuel
2018
Optimal control for a nonlinear mathematical model of tumor under immune suppression: a numerical approach. Zbl 1401.92113
Sweilam, N. H.; Al-Mekhlafi, S. M.
2018
Necessary/sufficient conditions for Pareto optimum in cooperative difference game. Zbl 1407.91030
Lin, Yaning; Zhang, Weihai
2018
Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach. Zbl 1391.93113
Jajarmi, Amin; Baleanu, Dumitru
2018
Optimal control strategy of SEIR endemic model with continuous age-structure in the exposed and infectious classes. Zbl 1401.92185
Khan, Asaf; Zaman, Gul
2018
Semianalytical minimum-time solution for the optimal control of a vehicle subject to limited acceleration. Zbl 1391.93147
Bertolazzi, Enrico; Frego, Marco
2018
Optimal control of a delayed hepatitis B viral infection model with HBV DNA-containing capsids and CTL immune response. Zbl 1398.49045
2018
Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz-Legendre wavelets. Zbl 1406.49031
2018
Mixed $$H_\infty$$ and passive filtering for a class of singular systems with interval time-varying delays. Zbl 1390.93254
Liu, Guobao; Ma, Qian; Lu, Junwei; Li, Yongmin; Xu, Shengyuan
2018
Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature. Zbl 1397.92445
Yegorov, Ivan; Mairet, Francis; Gouzé, Jean-luc
2018
Partially observed time-inconsistent stochastic linear-quadratic control with random jumps. Zbl 1390.93875
Wu, Zhen; Zhuang, Yi
2018
A generalized Nash equilibrium approach for optimal control problems of autonomous cars. Zbl 1390.49046
Dreves, Axel; Gerdts, Matthias
2018
Optimal control of linear time-delay systems by a hybrid of block-pulse functions and biorthogonal cubic Hermite spline multiwavelets. Zbl 1390.49037
2018
Asynchronous $$H_\infty$$ control of time-delayed switched systems with actuator saturation via anti-windup design. Zbl 1390.93283
He, Hangfeng; Gao, Xianwen; Qi, Wenhai
2018
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Cited by 4,828 Authors

 30 Teo, Kok Lay 26 Park, Juhyun (Jessie) 26 Sadek, Ibrahim S. 20 Lam, James 20 Shi, Peng 19 Xu, Shengyuan 19 Yang, Guanghong 19 Zhang, Qingling 18 Diehl, Moritz Mathias 18 Feichtinger, Gustav 18 Yavin, Yaakov 17 Sethi, Suresh P. 16 Houska, Boris 16 Wang, Guoliang 15 Hartl, Richard F. 15 Kort, Peter M. 15 Shieh, Leang-San 14 Rao, Anil V. 13 Hager, William W. 13 Marzban, Hamid-Reza 13 Tsai, Jason Sheng-Hong 12 Băleanu, Dumitru I. 12 Haurie, Alain B. 12 Sweilam, Nasser Hassan 12 Treanţă, Savin 11 Adali, Sarp 11 Bruch, John C. jun. 11 Guo, Shu-Mei 11 Ordokhani, Yadollah 11 Sloss, James M. 11 Zaman, Gul 10 Chebotarev, Alexander Yurievich 10 Kar, Tapan Kumar 10 Liao, Fucheng 10 Maurer, Helmut 10 Miloh, Touvia 10 Ober-Blöbaum, Sina 10 Rachik, Mostafa 10 Razzaghi, Mohsen 10 Sager, Sebastian 9 Barton, Paul I. 9 Botkin, Nikolai D. 9 Duan, Guangren 9 Göttlich, Simone 9 Grimble, Michael John 9 Jana, Soovoojeet 9 Kwon, O. M. 9 Loxton, Ryan Christopher 9 Machado, José António Tenreiro 9 Mathiyalagan, Kalidass 9 Sakthivel, Rathinasamy 9 Wee, Hui-Ming 9 Yoshioka, Hidekazu 8 Al-Mekhlafi, Seham Mahyoub 8 Balachandran, Krishnan 8 Campbell, Stephen LaVern 8 Cao, Jinde 8 Chachuat, Benoît 8 Chu, Yuming 8 Ding, Feng 8 Hoseini, Sayyed Mohammad 8 Hu, Jun 8 Jajarmi, Amin 8 Jiang, Bin 8 Jørgensen, Steffen 8 Kao, Yonggui 8 Kirches, Christian 8 Leitmann, George 8 Leyendecker, Sigrid 8 Peng, Haijun 8 Qi, Wenhai 8 Quirynen, Rien 8 Sabir, Zulqurnain 8 Wang, Zidong 8 Zaccour, Georges 8 Zhao, Xudong 7 Bock, Hans Georg 7 Cárdenas-Barrón, Leopoldo Eduardo 7 El Hajjaji, Ahmed 7 Haddad, Wassim Michael 7 Karimi, Hamid Reza 7 Kovtanyuk, Andrey Egorovich 7 Liu, Chongyang 7 Ma, Yuechao 7 Samanta, Guru Prasad 7 Sarkar, Biswajit 7 Shen, Mouquan 7 Torres, Delfim Fernando Marado 7 Zhong, Shou-Ming 7 Zhou, Jieming 6 Agusto, Folashade B. 6 Borzì, Alfio 6 Boucekkine, Raouf 6 Camacho, Eduardo Fernández 6 Caputo, Michael R. 6 Chaabane, Mohamed 6 Drăgan, Vasile 6 Effati, Sohrab 6 Frego, Marco 6 Gao, Huijun ...and 4,728 more Authors
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Cited in 356 Journals

 186 Journal of the Franklin Institute 176 Automatica 164 Journal of Optimization Theory and Applications 162 Optimal Control Applications & Methods 130 International Journal of Control 90 International Journal of Systems Science. Principles and Applications of Systems and Integration 89 Applied Mathematics and Computation 65 Mathematical Problems in Engineering 63 European Journal of Operational Research 48 Applied Mathematical Modelling 43 International Journal of Systems Science 42 Chaos, Solitons and Fractals 39 Computers & Mathematics with Applications 38 Journal of Computational and Applied Mathematics 35 Journal of Mathematical Analysis and Applications 34 Systems & Control Letters 32 Circuits, Systems, and Signal Processing 32 Asian Journal of Control 31 International Journal of Robust and Nonlinear Control 30 European Journal of Control 30 Nonlinear Analysis. Hybrid Systems 29 SIAM Journal on Control and Optimization 29 Advances in Difference Equations 26 Mathematical Biosciences 26 Nonlinear Dynamics 25 Journal of Industrial and Management Optimization 23 Journal of Economic Dynamics & Control 20 Annals of Operations Research 20 Journal of Vibration and Control 20 Discrete Dynamics in Nature and Society 20 Communications in Nonlinear Science and Numerical Simulation 19 Mathematical and Computer Modelling 19 Complexity 16 International Journal of Biomathematics 16 Journal of Theoretical Biology 15 Physica A 15 Information Sciences 15 Mathematics and Computers in Simulation 15 Optimization 15 Computational Optimization and Applications 15 Abstract and Applied Analysis 15 International Journal of Applied and Computational Mathematics 14 Computer Methods in Applied Mechanics and Engineering 14 International Journal of Computer Mathematics 14 Optimization and Engineering 14 Dynamic Games and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 International Journal of Adaptive Control and Signal Processing 13 Numerical Algebra, Control and Optimization 12 Applied Mathematics and Optimization 12 Applied Numerical Mathematics 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 AIMS Mathematics 11 Journal of Mathematical Biology 11 Fuzzy Sets and Systems 11 Journal of Global Optimization 11 Computational and Applied Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 11 Mathematical Biosciences and Engineering 10 Mathematical Programming. Series A. Series B 10 Optimization Methods & Software 10 Discrete and Continuous Dynamical Systems. Series S 9 Kybernetika 9 CEJOR. Central European Journal of Operations Research 9 Journal of Systems Science and Complexity 9 Mathematical Modelling of Natural Phenomena 8 Mathematical Methods in the Applied Sciences 8 Bulletin of Mathematical Biology 8 Insurance Mathematics & Economics 8 Operations Research Letters 8 Computers & Operations Research 8 Numerical Algorithms 8 International Journal of Applied Mathematics and Computer Science 7 Journal of Biological Systems 7 The ANZIAM Journal 7 Journal of Applied Mathematics 7 Journal of Applied Mathematics and Computing 7 Journal of Control Science and Engineering 6 Journal of Scientific Computing 6 Automation and Remote Control 6 Fractals 6 Differential Equations and Dynamical Systems 6 International Game Theory Review 6 Journal of Biological Dynamics 6 Mathematical Control and Related Fields 5 Journal of Computational Physics 5 International Journal of Mathematics and Mathematical Sciences 5 Journal of Differential Equations 5 Journal of Mathematical Economics 5 Numerical Functional Analysis and Optimization 5 Journal of Economics 5 Neural Networks 5 Dynamics and Control 5 Journal of Mathematical Sciences (New York) 5 Journal of Difference Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Multibody System Dynamics 5 Mathematical Methods of Operations Research 5 Journal of Dynamical and Control Systems 5 Nonlinear Analysis. Real World Applications ...and 256 more Journals
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Cited in 48 Fields

 1,542 Systems theory; control (93-XX) 989 Calculus of variations and optimal control; optimization (49-XX) 538 Operations research, mathematical programming (90-XX) 396 Biology and other natural sciences (92-XX) 363 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 327 Ordinary differential equations (34-XX) 326 Numerical analysis (65-XX) 201 Probability theory and stochastic processes (60-XX) 158 Partial differential equations (35-XX) 98 Mechanics of particles and systems (70-XX) 85 Dynamical systems and ergodic theory (37-XX) 80 Mechanics of deformable solids (74-XX) 68 Real functions (26-XX) 58 Computer science (68-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 35 Fluid mechanics (76-XX) 30 Statistics (62-XX) 24 Information and communication theory, circuits (94-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Classical thermodynamics, heat transfer (80-XX) 20 Difference and functional equations (39-XX) 15 Integral equations (45-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 8 Special functions (33-XX) 8 Integral transforms, operational calculus (44-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 History and biography (01-XX) 7 Geophysics (86-XX) 6 Differential geometry (53-XX) 5 Number theory (11-XX) 5 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 (04-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)