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Lewis, Frank Leroy

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Author ID: lewis.frank-l Recent zbMATH articles by "Lewis, Frank Leroy"
Published as: Lewis, F.; Lewis, F. L.; Lewis, F. L. (eds.); Lewis, Frank; Lewis, Frank L.
Homepage: http://www.uta.edu/utari/acs/
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 246 Publications since 1979, including 14 Books
all top 5

Co-Authors

16 single-authored
14 Modares, Hamidreza
12 Liu, Kai
11 Mertzios, Basil G.
11 Syrmos, Vassilis L.
11 Vamvoudakis, Kyriakos G.
11 Xie, Lihua
10 Abu-Khalaf, Murad
10 Vrabie, Draguna
9 Davoudi, Ali
8 Hengster-Movrić, Kristian
7 Adib Yaghmaie, Farnaz
7 Özçaldiran, Kadri
7 Xu, Shengyuan
6 Chen, Ci
6 El Ferik, Sami A.
6 Jagannathan, Sarangapani
6 Lopez, Victor G.
6 Song, Yongduan
6 Su, Rong
6 Wan, Yan
6 Zuo, Shan
5 Das, Abhijit
5 Liu, Hao
5 Xie, Shengli
5 Zhang, Hongwei
4 Beauchamp, Gerson
4 Christodoulou, Manolis A.
4 Commuri, Sesh
4 Dawson, Darren M.
4 Fierro, Rafael
4 Ge, Shuzhi Sam
4 Gürel, Ayla
4 Pastravanu, Octavian C.
4 Qu, Zhihua
4 Šelmić, Rastko R.
4 Xie, Kan
3 Abdallah, Chaouki Tanios
3 Abouheaf, Mohammed I.
3 Al-Sunni, Fouad M.
3 Bogdan, Stjepan
3 Fountain, D. W.
3 Hu, Guoqiang
3 Huang, Jie
3 Jagannathan, Srinivasan
3 Jiao, Qiang
3 Kiumarsi, Bahare
3 Kociȩcki, Maciej
3 Kolaric, Patrik
3 Kwan, Chiman
3 Mireles, José jun.
3 Naghibi-Sistani, Mohammad-Bagher
3 Šebek, Michael
3 Vachtsevanos, George J.
3 Xu, Hao
3 Yeşildirek, A.
2 Al-Tamimi, Asma
2 Alqaudi, Bakur
2 Babuška, Robert
2 Banaszuk, Andrzej
2 Chen, Gang
2 Chen, Kairui
2 Cheng, Tao
2 Dixon, Warren E.
2 Dorsey, John F.
2 Du, Chunling
2 Gao, Weinan
2 Gong, Dawei
2 Hashim, Hashim A.
2 Hou, Zhongsheng
2 Huang, Jinquan
2 Jiang, Zhong-Ping
2 Kim, Young Hee Yun
2 Li, Zhongkui
2 Ma, Qian
2 Ma, Tiedong
2 Marszałek, Wiesław
2 Mikulski, Dariusz G.
2 Popa, Dan O.
2 Qureshi, Aminuddin
2 Ranatunga, Isura
2 Stevens, B. L.
2 Valavanis, Kimon P.
2 Vandegrift, M. W.
2 Wang, Junwei
2 Wang, Liping
2 Ye, Maojiao
2 Zhang, Baoyong
2 Zhang, Jingliang
1 Al-Rawashdeh, Yazan M.
1 Aurangzeb, Muhammad
1 Ballal, P. M.
1 Benosman, Mouhacine
1 Bhasin, Shubhendu
1 Bidram, Ali
1 Cai, He
1 Campbell, Stephen LaVern
1 Campos, João B. L. M.
1 Chai, Tianyou
1 Chen, Ben M.
1 Chen, Gang
...and 110 more Co-Authors

Publications by Year

Citations contained in zbMATH

186 Publications have been cited 3,030 times in 1,977 Documents Cited by Year
A survey of linear singular systems. Zbl 0613.93029
Lewis, F. L.
324
1986
Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265
Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit
143
2011
Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144
Zhang, Hongwei; Lewis, Frank L.
133
2012
Distributed adaptive control for synchronization of unknown nonlinear networked systems. Zbl 1205.93045
Das, Abhijit; Lewis, Frank L.
121
2010
Optimal estimation. With an introduction to stochastic control theory. Zbl 0665.93065
Lewis, Frank L.
94
1986
Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach. Zbl 1087.49022
Abu-Khalaf, Murad; Lewis, Frank L.
80
2005
Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038
Vamvoudakis, Kyriakos G.; Lewis, Frank L.
78
2010
Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006
Das, Abhijit; Lewis, Frank L.
55
2011
Optimal control. 3rd ed. Zbl 1284.49001
Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L.
53
2012
Finite-time distributed consensus via binary control protocols. Zbl 1226.93008
Chen, Gang; Lewis, Frank L.; Xie, Lihua
49
2011
Adaptive optimal control for continuous-time linear systems based on policy iteration. Zbl 1158.93354
Vrabie, D.; Pastravanu, O.; Abu-Khalaf, M.; Lewis, F. L.
49
2009
Feedback linearization using neural networks. Zbl 0847.93032
Yeşildirek, A.; Lewis, F. L.
48
1995
Deadzone compensation in motion control systems using neural networks. Zbl 0989.93068
Šelmić, Rastko R.; Lewis, Frank L.
46
2000
Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015
Lewis, Frank L.; Zhang, Hongwei; Hengster-Movric, Kristian; Das, Abhijit
43
2014
Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems. Zbl 1335.93068
Vrabie, Draguna; Lewis, Frank
43
2009
Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026
Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L.
41
2014
Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. Zbl 1395.93584
Lewis, Frank L.; Vrabie, Draguna; Vamvoudakis, Kyriakos G.
40
2012
Model-free \(Q\)-learning designs for linear discrete-time zero-sum games with application to \(H^\infty\) control. Zbl 1137.93321
Al-Tamimi, Asma; Lewis, Frank L.; Abu-Khalaf, Murad
39
2007
A tutorial on the geometric analysis of linear time-invariant implicit systems. Zbl 0745.93033
Lewis, F. L.
38
1992
Policy iterations on the Hamilton-Jacobi-Isaacs equation for \(H_{\infty}\) state feedback control with input saturation. Zbl 1366.93147
Abu-Khalaf, Murad; Lewis, Frank L.; Huang, Jie
33
2006
Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026
Hengster Movric, Kristian; Lewis, Frank L.
31
2014
Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Zbl 1259.93005
Hengster-Movric, Kristian; You, Keyou; Lewis, Frank L.; Xie, Lihua
31
2013
Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations. Zbl 1237.91015
Vamvoudakis, Kyriakos G.; Lewis, Frank L.
30
2011
A novel actor-critic-identifier architecture for approximate optimal control of uncertain nonlinear systems. Zbl 1257.93055
Bhasin, S.; Kamalapurkar, R.; Johnson, M.; Vamvoudakis, K. G.; Lewis, F. L.; Dixon, W. E.
29
2013
Multi-agent differential graphical games: online adaptive learning solution for synchronization with optimality. Zbl 1267.93190
Vamvoudakis, Kyriakos G.; Lewis, Frank L.; Hudas, Greg R.
28
2012
Applied optimal control & estimation. Digital design & implementation. Zbl 0778.93001
Lewis, Frank L.
28
1992
Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021
El-Ferik, Sami; Qureshi, Aminuddin; Lewis, Frank L.
27
2014
Integral reinforcement learning and experience replay for adaptive optimal control of partially-unknown constrained-input continuous-time systems. Zbl 1298.49042
Modares, Hamidreza; Lewis, Frank L.; Naghibi-Sistani, Mohammad-Bagher
27
2014
Further remarks on the Cayley-Hamilton theorem and Leverrier’s method for the matrix pencil (sE-A). Zbl 0601.15010
Lewis, F. L.
27
1986
A dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems. Zbl 1047.93504
Kim, Young H.; Lewis, Frank L.; Abdallah, Chaouki T.
25
1997
On constructing Lyapunov functions for multi-agent systems. Zbl 1330.93182
Zhang, Hongwei; Li, Zhongkui; Qu, Zhihua; Lewis, Frank L.
24
2015
Reinforcement \(Q\)-learning for optimal tracking control of linear discrete-time systems with unknown dynamics. Zbl 1417.93134
Kiumarsi, Bahare; Lewis, Frank L.; Modares, Hamidreza; Karimpour, Ali; Naghibi-Sistani, Mohammad-Bagher
24
2014
Optimal adaptive control and differential games by reinforcement learning principles. Zbl 1316.49007
Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L.
24
2013
Output feedback eigenstructure assignment using two Sylvester equations. Zbl 0791.93035
Syrmos, V. L.; Lewis, F. L.
24
1993
On the regularizability of singular systems. Zbl 0724.93011
Özçaldiran, K.; Lewis, F. L.
23
1990
Fundamental, reachability, and observability matrices for discrete descriptor systems. Zbl 0557.93011
Lewis, F. L.
22
1985
Stochastic optimal control of unknown linear networked control system in the presence of random delays and packet losses. Zbl 1244.93177
Xu, Hao; Jagannathan, S.; Lewis, F. L.
20
2012
Identification of nonlinear dynamical systems using multilayered neural networks. Zbl 0879.93010
Jagannathan, S.; Lewis, F. L.
20
1996
Dynamic analysis and control of a Stewart platform manipulator. Zbl 0774.70005
Lebret, G.; Liu, K.; Lewis, F. L.
19
1993
The adaptive distributed observer approach to the cooperative output regulation of linear multi-agent systems. Zbl 1352.93058
Cai, He; Lewis, Frank L.; Hu, Guoqiang; Huang, Jie
18
2017
Control of a nonholonomic mobile robot: Backstepping kinematics into dynamics. Zbl 0897.70019
Fierro, R.; Lewis, F. L.
18
1997
Geometric structure and feedback in singular systems. Zbl 0674.93015
Lewis, F. L.; Özçaldiran, K.
18
1989
Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001
Lewis, Frank L.; Selmic, Rastko; Campos, J.
17
2002
Robust backstepping control of a class of nonlinear systems using fuzzy logic. Zbl 0953.93522
Jagannathan, S.; Lewis, F. L.
17
2000
A geometric approach to eigenstructure assignment for singular systems. Zbl 0623.93031
Ozcaldiran, K.; Lewis, F.
17
1987
Descriptor systems: Decomposition into forward and backward subsystems. Zbl 0534.93013
Lewis, Frank L.
17
1984
Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. Zbl 1360.93726
Modares, Hamidreza; Lewis, Frank L.
16
2014
Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073
Modares, Hamidreza; Lewis, Frank L.
16
2014
Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010
Liu, Shuai; Xie, Lihua; Lewis, Frank L.
16
2011
Flexible-link robot arm control by a feedback linearization/singular perturbation approach. Zbl 0812.70020
Vandegrift, M. W.; Lewis, F. L.; Zhu, S. Q.
16
1994
A review of 2-D implicit systems. Zbl 0766.93035
Lewis, F. L.
16
1992
Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009
Ma, Qian; Xu, Shengyuan; Lewis, Frank L.
15
2014
Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011
Vamvoudakis, Kyriakos G.; Lewis, F. L.
15
2012
Parameterization of all stabilizing \(H_{\infty }\) static state-feedback gains: application to output-feedback design. Zbl 1128.93342
Gadewadikar, J.; Lewis, Frank L.; Xie, L.; Kucera, V.; Abu-Khalaf, M.
15
2007
CMAC neural networks for control of nonlinear dynamical systems: Structure, stability and passivity. Zbl 0883.93045
Commuri, S.; Lewis, F. L.
15
1997
On the analysis of discrete linear time-invariant singular systems. Zbl 0705.93058
Lewis, F. L.; Mertzios, B. G.
15
1990
Online solution of nonquadratic two-player zero-sum games arising in the \(H_\infty\) control of constrained input systems. Zbl 1331.93055
Modares, Hamidreza; Lewis, Frank L.; Sistani, Mohammad-Bagher Naghibi
14
2014
Backstepping approach for controlling a quadrotor using Lagrange form dynamics. Zbl 1203.68222
Das, Abhijit; Lewis, Frank; Subbarao, Kamesh
14
2009
A geometric theory for derivative feedback. Zbl 0754.93007
Lewis, F. L.; Syrmos, V. L.
14
1991
Robust control for the tracking of robot motion. Zbl 0708.93057
Dawson, D. M.; Qu, Z.; Lewis, F. L.; Dorsey, J. F.
14
1990
Fundamental matrix of discrete singular systems. Zbl 0689.93041
Mertzios, B. G.; Lewis, F. L.
14
1989
Descriptor systems: expanded descriptor equation and Markov parameters. Zbl 0517.93005
Lewis, Frank
14
1983
Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051
Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong
13
2016
Consensus of heterogeneous first- and second-order multi-agent systems with directed communication topologies. Zbl 1328.93021
Feng, Yuanzhen; Xu, Shengyuan; Lewis, Frank L.; Zhang, Baoyong
13
2015
Adaptive dynamic programming for an online solution of a zero-sum differential game. Zbl 1249.90308
Vrabie, Draguna; Lewis, Frank
13
2011
Discrete-time neural net controller for a class of nonlinear dynamical systems. Zbl 0872.93046
Jagannathan, S.; Lewis, F. L.
13
1996
Direct controllability and observability time domain conditions of singular systems. Zbl 0666.93012
Mertzios, B. G.; Christodoulou, M. A.; Syrmos, B. L.; Lewis, F. L.
13
1988
Optimal and robust estimation. With an introduction to stochastic control theory. 2nd ed. Zbl 1133.93040
Lewis, Frank L.; Xie, Lihua; Popa, Dan
12
2008
Adaptive fuzzy logic control of discrete-time dynamical systems. Zbl 0942.93020
Jagannathan, S.; Vandegrift, M. W.; Lewis, F. L.
12
2000
Towards a paradigm for fuzzy logic control. Zbl 0845.93048
Lewis, F. L.; Liu, Kai
12
1996
Aircraft flight controls design using output feedback. Zbl 0749.93035
Stevens, B. L.; Lewis, F. L.; Al-Sunni, F.
12
1992
Analysis of singular systems using orthogonal functions. Zbl 0615.93033
Lewis, F. L.; Mertzios, B. G.
12
1987
A neural network solution for fixed-final time optimal control of nonlinear systems. Zbl 1137.93331
Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad
11
2007
Neural net backlash compensation with Hebbian tuning using dynamic inversion. Zbl 0992.93027
Selmic, Rastko R.; Lewis, Frank L.
11
2001
Analysis of deadlock and circular waits using a matrix model for flexible manufacturing systems. Zbl 0966.90028
Lewis, Frank L.; Gürel, Ayla; Bogdan, Stjepan; Doǧanalp, Alper; Pastravanu, Octavian C.
11
1998
High-level feedback control with neural networks. Zbl 0919.93002
Kim, Y. H.; Lewis, F. L.
11
1998
Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185
Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz
10
2017
Multi-agent discrete-time graphical games and reinforcement learning solutions. Zbl 1367.91032
Abouheaf, Mohammed I.; Lewis, Frank L.; Vamvoudakis, Kyriakos G.; Haesaert, Sofie; Babuska, Robert
10
2014
Cooperative control with distributed gain adaptation and connectivity estimation for directed networks. Zbl 1285.93009
Qu, Zhihua; Li, Chaoyong; Lewis, Frank
10
2014
Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039
Hengster-Movric, Kristian; Lewis, Frank
10
2013
Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341
Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L.
10
2012
Intelligent optimal control of robotic manipulators using neural networks. Zbl 1002.93039
Kim, Young H.; Lewis, Frank L.; Dawson, Darren M.
10
2000
Geometric theory for the singular Roesser model. Zbl 0755.93014
Karamancioğlu, A.; Lewis, F. L.
10
1992
Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011
Ma, Tiedong; Lewis, Frank L.; Song, Yongduan
9
2016
Bipartite and cooperative output synchronizations of linear heterogeneous agents: a unified framework. Zbl 1370.93005
Adib Yaghmaie, Farnaz; Su, Rong; Lewis, Frank L.; Olaru, Sorin
8
2017
Synchronization for an array of neural networks with hybrid coupling by a novel pinning control strategy. Zbl 1415.93234
Gong, Dawei; Lewis, Frank L.; Wang, Liping; Xu, Ke
8
2016
Multi-agent zero-sum differential graphical games for disturbance rejection in distributed control. Zbl 1338.93023
Jiao, Qiang; Modares, Hamidreza; Xu, Shengyuan; Lewis, Frank L.; Vamvoudakis, Kyriakos G.
8
2016
Robust consensus of multiple inertial agents with coupling delays and variable topologies. Zbl 1213.93009
Chen, Gang; Lewis, Frank L.
8
2011
Inner and outer geometry for singular systems with computation of subspaces. Zbl 0725.93023
Beauchamp, G.; Banaszuk, A.; Kociȩcki, M.; Lewis, F. L.
8
1991
Geometric design techniques for observers in singular systems. Zbl 0712.93008
Lewis, F. L.
8
1990
Generalized reachability subspaces for singular systems. Zbl 0689.93004
Özcaldiran, K.; Lewis, F. L.
8
1989
Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186
Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali
7
2018
\(\mathrm{H}_\infty\) control of linear discrete-time systems: off-policy reinforcement learning. Zbl 1357.93034
Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping
7
2017
Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023
Wei, Qinglai; Liu, Derong; Lewis, Frank L.
7
2015
Distributed static output-feedback control for state synchronization in networks of identical LTI systems. Zbl 1371.93005
Hengster-Movric, Kristian; Lewis, Frank L.; Sebek, Michael
7
2015
Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization. Zbl 1301.93007
Bidram, Ali; Lewis, Frank L.; Davoudi, Ali
7
2014
Leader-following control for multiple inertial agents. Zbl 1232.93024
Chen, Gang; Lewis, Frank L.
7
2011
Neural network compensation control for mechanical systems with disturbances. Zbl 1162.93345
Ren, Xuemei; Lewis, Frank L.; Zhang, Jingliang
7
2009
Adaptive control of nonsmooth dynamic systems. Zbl 0982.93007
Tao, Gang (ed.); Lewis, Frank L. (ed.)
7
2001
Coupled and constrained Sylvester equations in system design. Zbl 0864.93050
Syrmos, Vassilis L.; Lewis, Frank L.
7
1994
Robust formation tracking control for multiple quadrotors subject to switching topologies. Zbl 07255383
Liu, Hao; Wang, Yanhu; Lewis, Frank L.; Valavanis, Kimon P.
1
2020
Adaptive synchronization of multi-agent systems with resilience to communication link faults. Zbl 1430.93011
Chen, Ci; Xie, Kan; Lewis, Frank L.; Xie, Shengli; Fierro, Rafael
1
2020
Fully distributed resilience for adaptive exponential synchronization of heterogeneous multiagent systems against actuator faults. Zbl 07091869
Chen, Ci; Xie, Kan; Lewis, Frank L.; Xie, Shengli; Davoudi, Ali
4
2019
Bipartite tracking of homogeneous and heterogeneous linear multi-agent systems. Zbl 1425.93018
Jiao, Qiang; Zhang, Hongwei; Xu, Shengyuan; Lewis, Frank L.; Xie, Lihua
3
2019
Resilient adaptive and \(H_\infty\) controls of multi-agent systems under sensor and actuator faults. Zbl 1415.93102
Chen, Ci; Lewis, Frank L.; Xie, Shengli; Modares, Hamidreza; Liu, Zhi; Zuo, Shan; Davoudi, Ali
3
2019
Containment control for multiagent systems under two intermittent control schemes. Zbl 07044273
Xiao, Qiang; Lewis, Frank L.; Zeng, Zhigang
3
2019
Cooperative output regulation of heterogeneous linear multi-agent networks via \(H_\infty\) performance allocation. Zbl 07044219
Li, Xianwei; Soh, Yeng Chai; Xie, Lihua; Lewis, Frank L.
3
2019
A unified strategy for solution seeking in graphical \(N\)-coalition noncooperative games. Zbl 07158540
Ye, Maojiao; Hu, Guoqiang; Lewis, Frank L.; Xie, Lihua
2
2019
Reinforcement learning-based adaptive optimal exponential tracking control of linear systems with unknown dynamics. Zbl 07158522
Chen, Ci; Modares, Hamidreza; Xie, Kan; Lewis, Frank L.; Wan, Yan; Xie, Shengli
2
2019
Robust formation tracking control for multiple quadrotors under aggressive maneuvers. Zbl 1429.93247
Liu, Hao; Tian, Yu; Lewis, Frank L.; Wan, Yan; Valavanis, Kimon P.
2
2019
Robust trajectory tracking control for unmanned tail-sitters in aggressive flight mode transitions. Zbl 1426.93061
Liu, Deyuan; Liu, Hao; Lewis, Frank L.
2
2019
Neuro-adaptive cooperative tracking control with prescribed performance of unknown higher-order nonlinear multi-agent systems. Zbl 1414.93108
Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L.
2
2019
Output-feedback \(H_\infty\) quadratic tracking control of linear systems using reinforcement learning. Zbl 1417.93141
Moghadam, Rohollah; Lewis, Frank L.
1
2019
Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186
Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali
7
2018
Leader-to-formation stability of multiagent systems: an adaptive optimal control approach. Zbl 1423.93015
Gao, Weinan; Jiang, Zhong-Ping; Lewis, Frank L.; Wang, Yebin
6
2018
Nash equilibrium seeking for \(N\)-coalition noncooperative games. Zbl 1417.91031
Ye, Maojiao; Hu, Guoqiang; Lewis, Frank L.
4
2018
Bipartite output synchronization of heterogeneous multiagent systems on signed digraphs. Zbl 1397.93015
Zuo, Shan; Lewis, Frank L.; Song, Yongduan; Davoudi, Ali
3
2018
Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. Zbl 1390.49028
Modares, Hamidreza; Lewis, Frank L.; Kang, Wei; Davoudi, Ali
2
2018
Consensus controller for multi-UAV navigation. Zbl 1424.93185
Kolaric, Patrik; Chen, Ci; Dalal, Ankur; Lewis, Frank L.
1
2018
\(H_\infty\)-output regulation of linear heterogeneous multiagent systems over switching graphs. Zbl 1397.93070
Yaghmaie, Farnaz Adib; Movric, Kristian Hengster; Lewis, Frank L.; Su, Rong; Sebek, Michael
1
2018
The adaptive distributed observer approach to the cooperative output regulation of linear multi-agent systems. Zbl 1352.93058
Cai, He; Lewis, Frank L.; Hu, Guoqiang; Huang, Jie
18
2017
Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185
Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz
10
2017
Bipartite and cooperative output synchronizations of linear heterogeneous agents: a unified framework. Zbl 1370.93005
Adib Yaghmaie, Farnaz; Su, Rong; Lewis, Frank L.; Olaru, Sorin
8
2017
\(\mathrm{H}_\infty\) control of linear discrete-time systems: off-policy reinforcement learning. Zbl 1357.93034
Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping
7
2017
Multiparty consensus of linear heterogeneous multiagent systems. Zbl 1390.93090
Yaghmaie, Farnaz Adib; Su, Rong; Lewis, Frank L.; Xie, Lihua
5
2017
Coordination of multi-agent systems on interacting physical and communication topologies. Zbl 1356.93006
Wang, Junwei; Chen, Kairui; Lewis, Frank L.
5
2017
Adaptive synchronisation of unknown nonlinear networked systems with prescribed performance. Zbl 1358.93009
Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L.
4
2017
Output synchronization of heterogeneous discrete-time systems: a model-free optimal approach. Zbl 1376.93064
Kiumarsi, Bahare; Lewis, Frank L.
3
2017
Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051
Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong
13
2016
Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011
Ma, Tiedong; Lewis, Frank L.; Song, Yongduan
9
2016
Synchronization for an array of neural networks with hybrid coupling by a novel pinning control strategy. Zbl 1415.93234
Gong, Dawei; Lewis, Frank L.; Wang, Liping; Xu, Ke
8
2016
Multi-agent zero-sum differential graphical games for disturbance rejection in distributed control. Zbl 1338.93023
Jiao, Qiang; Modares, Hamidreza; Xu, Shengyuan; Lewis, Frank L.; Vamvoudakis, Kyriakos G.
8
2016
Heterogeneous multi-agent systems: reduced-order synchronization and geometry. Zbl 1359.93174
Lewis, Frank L.; Cui, Bing; Ma, Tiedong; Song, Yongduan; Zhao, Chunhui
6
2016
Optimal model-free output synchronization of heterogeneous systems using off-policy reinforcement learning. Zbl 1343.93006
Modares, Hamidreza; Nageshrao, Subramanya P.; Lopes, Gabriel A. Delgado; Babuška, Robert; Lewis, Frank L.
6
2016
Distributed \(\mathcal{L}_2\)-gain output-feedback control of homogeneous and heterogeneous systems. Zbl 1343.93040
Jiao, Qiang; Modares, Hamidreza; Lewis, Frank L.; Xu, Shengyuan; Xie, Lihua
5
2016
Output regulation of heterogeneous linear multi-agent systems with differential graphical game. Zbl 1342.93014
Yaghmaie, Farnaz Adib; Lewis, Frank L.; Su, Rong
4
2016
Model reference adaptive impedance control for physical human-robot interaction. Zbl 1363.93124
Alqaudi, Bakur; Modares, Hamidreza; Ranatunga, Isura; Tousif, Shaikh M.; Lewis, Frank L.; Popa, Dan O.
1
2016
On constructing Lyapunov functions for multi-agent systems. Zbl 1330.93182
Zhang, Hongwei; Li, Zhongkui; Qu, Zhihua; Lewis, Frank L.
24
2015
Consensus of heterogeneous first- and second-order multi-agent systems with directed communication topologies. Zbl 1328.93021
Feng, Yuanzhen; Xu, Shengyuan; Lewis, Frank L.; Zhang, Baoyong
13
2015
Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023
Wei, Qinglai; Liu, Derong; Lewis, Frank L.
7
2015
Distributed static output-feedback control for state synchronization in networks of identical LTI systems. Zbl 1371.93005
Hengster-Movric, Kristian; Lewis, Frank L.; Sebek, Michael
7
2015
Cooperative containment of discrete-time linear multi-agent systems. Zbl 1312.93007
Ma, Qian; Lewis, Frank L.; Xu, Shengyuan
6
2015
Discrete-time dynamic graphical games: model-free reinforcement learning solution. Zbl 1340.91018
Abouheaf, Mohammed I.; Lewis, Frank L.; Mahmoud, Magdi S.; Mikulski, Dariusz G.
4
2015
Cooperative synchronization control for agents with control delays: a synchronizing region approach. Zbl 1395.93039
Hengster-Movric, Kristian; Lewis, Frank L.; Šebek, Michael; Vyhlídal, Tomáš
1
2015
Adaptive terminal ILC for iteration-varying target points. Zbl 1332.93128
Chi, Ronghu; Wang, Danwei; Lewis, Frank L.; Hou, Zhongsheng; Jin, Shangtai
1
2015
Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015
Lewis, Frank L.; Zhang, Hongwei; Hengster-Movric, Kristian; Das, Abhijit
43
2014
Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026
Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L.
41
2014
Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026
Hengster Movric, Kristian; Lewis, Frank L.
31
2014
Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021
El-Ferik, Sami; Qureshi, Aminuddin; Lewis, Frank L.
27
2014
Integral reinforcement learning and experience replay for adaptive optimal control of partially-unknown constrained-input continuous-time systems. Zbl 1298.49042
Modares, Hamidreza; Lewis, Frank L.; Naghibi-Sistani, Mohammad-Bagher
27
2014
Reinforcement \(Q\)-learning for optimal tracking control of linear discrete-time systems with unknown dynamics. Zbl 1417.93134
Kiumarsi, Bahare; Lewis, Frank L.; Modares, Hamidreza; Karimpour, Ali; Naghibi-Sistani, Mohammad-Bagher
24
2014
Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. Zbl 1360.93726
Modares, Hamidreza; Lewis, Frank L.
16
2014
Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073
Modares, Hamidreza; Lewis, Frank L.
16
2014
Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009
Ma, Qian; Xu, Shengyuan; Lewis, Frank L.
15
2014
Online solution of nonquadratic two-player zero-sum games arising in the \(H_\infty\) control of constrained input systems. Zbl 1331.93055
Modares, Hamidreza; Lewis, Frank L.; Sistani, Mohammad-Bagher Naghibi
14
2014
Multi-agent discrete-time graphical games and reinforcement learning solutions. Zbl 1367.91032
Abouheaf, Mohammed I.; Lewis, Frank L.; Vamvoudakis, Kyriakos G.; Haesaert, Sofie; Babuska, Robert
10
2014
Cooperative control with distributed gain adaptation and connectivity estimation for directed networks. Zbl 1285.93009
Qu, Zhihua; Li, Chaoyong; Lewis, Frank
10
2014
Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization. Zbl 1301.93007
Bidram, Ali; Lewis, Frank L.; Davoudi, Ali
7
2014
Internal structure of coalitions in competitive and altruistic graphical coalitional games. Zbl 1364.91020
Aurangzeb, Muhammad; Lewis, Frank L.
1
2014
Stochastic optimal design for unknown linear discrete-time system zero-sum games in input-output form under communication constraints. Zbl 1305.93210
Xu, Hao; Jagannathan, S.; Lewis, F. L.
1
2014
Online adaptive algorithm for with integral reinforcement learning. Zbl 1304.49059
Vamvoudakis, Kyriakos G.; Vrabie, Draguna; Lewis, Frank L.
1
2014
Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Zbl 1259.93005
Hengster-Movric, Kristian; You, Keyou; Lewis, Frank L.; Xie, Lihua
31
2013
A novel actor-critic-identifier architecture for approximate optimal control of uncertain nonlinear systems. Zbl 1257.93055
Bhasin, S.; Kamalapurkar, R.; Johnson, M.; Vamvoudakis, K. G.; Lewis, F. L.; Dixon, W. E.
29
2013
Optimal adaptive control and differential games by reinforcement learning principles. Zbl 1316.49007
Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L.
24
2013
Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039
Hengster-Movric, Kristian; Lewis, Frank
10
2013
Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144
Zhang, Hongwei; Lewis, Frank L.
133
2012
Optimal control. 3rd ed. Zbl 1284.49001
Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L.
53
2012
Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. Zbl 1395.93584
Lewis, Frank L.; Vrabie, Draguna; Vamvoudakis, Kyriakos G.
40
2012
Multi-agent differential graphical games: online adaptive learning solution for synchronization with optimality. Zbl 1267.93190
Vamvoudakis, Kyriakos G.; Lewis, Frank L.; Hudas, Greg R.
28
2012
Stochastic optimal control of unknown linear networked control system in the presence of random delays and packet losses. Zbl 1244.93177
Xu, Hao; Jagannathan, S.; Lewis, F. L.
20
2012
Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011
Vamvoudakis, Kyriakos G.; Lewis, F. L.
15
2012
Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341
Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L.
10
2012
Coordination of networked systems on digraphs with multiple leaders via pinning control. Zbl 1259.93003
Chen, Gang; Lewis, Frank L.
5
2012
Distributed tracking control for networked mechanical systems. Zbl 1303.93010
Chen, Gang; Lewis, Frank L.
3
2012
Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265
Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit
143
2011
Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006
Das, Abhijit; Lewis, Frank L.
55
2011
Finite-time distributed consensus via binary control protocols. Zbl 1226.93008
Chen, Gang; Lewis, Frank L.; Xie, Lihua
49
2011
Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations. Zbl 1237.91015
Vamvoudakis, Kyriakos G.; Lewis, Frank L.
30
2011
Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010
Liu, Shuai; Xie, Lihua; Lewis, Frank L.
16
2011
Adaptive dynamic programming for an online solution of a zero-sum differential game. Zbl 1249.90308
Vrabie, Draguna; Lewis, Frank
13
2011
Robust consensus of multiple inertial agents with coupling delays and variable topologies. Zbl 1213.93009
Chen, Gang; Lewis, Frank L.
8
2011
Leader-following control for multiple inertial agents. Zbl 1232.93024
Chen, Gang; Lewis, Frank L.
7
2011
Distributed adaptive control for synchronization of unknown nonlinear networked systems. Zbl 1205.93045
Das, Abhijit; Lewis, Frank L.
121
2010
Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038
Vamvoudakis, Kyriakos G.; Lewis, Frank L.
78
2010
Model-free \(H_{\infty }\) control design for unknown linear discrete-time systems via Q-learning with LMI. Zbl 1205.93046
Kim, J.-H.; Lewis, F. L.
4
2010
Online adaptive optimal control based on reinforcement learning. Zbl 1204.49043
Vrabie, Draguna; Lewis, Frank
1
2010
Adaptive optimal control for continuous-time linear systems based on policy iteration. Zbl 1158.93354
Vrabie, D.; Pastravanu, O.; Abu-Khalaf, M.; Lewis, F. L.
49
2009
Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems. Zbl 1335.93068
Vrabie, Draguna; Lewis, Frank
43
2009
Backstepping approach for controlling a quadrotor using Lagrange form dynamics. Zbl 1203.68222
Das, Abhijit; Lewis, Frank; Subbarao, Kamesh
14
2009
Neural network compensation control for mechanical systems with disturbances. Zbl 1162.93345
Ren, Xuemei; Lewis, Frank L.; Zhang, Jingliang
7
2009
Multi-frequency disturbance rejection via blending control technique for hard disk drives. Zbl 1179.93068
Du, Chunling; Xie, Lihua; Lewis, F. L.; Wang, Youyi
1
2009
Discrete adaptive neural network disturbance feedforward compensation for nonlinear disturbances in servo-control applications. Zbl 1162.93362
Herrmann, G.; Lewis, F. L.; Ge, S. S.; Zhang, J.
1
2009
Optimal and robust estimation. With an introduction to stochastic control theory. 2nd ed. Zbl 1133.93040
Lewis, Frank L.; Xie, Lihua; Popa, Dan
12
2008
\(H_{\infty }\) compensation of external vibration impact on servo performance of hard disk drives in mobile applications. Zbl 1284.93088
Du, C.; Ge, S. S.; Lewis, F. L.
3
2008
Model-free adaptive dynamic programming algorithms for \(H\)-infinity control of complex linear systems. Zbl 1210.90170
Al-Tamimi, Asma; Abu-Khalaf, Murad; Lewis, Frank L.
2
2008
Neural network-based adaptive optimal controller – a continuous-time formulation. Zbl 1155.49033
Vrabie, Draguna; Lewis, Frank; Levine, Daniel
2
2008
Model-free \(Q\)-learning designs for linear discrete-time zero-sum games with application to \(H^\infty\) control. Zbl 1137.93321
Al-Tamimi, Asma; Lewis, Frank L.; Abu-Khalaf, Murad
39
2007
Parameterization of all stabilizing \(H_{\infty }\) static state-feedback gains: application to output-feedback design. Zbl 1128.93342
Gadewadikar, J.; Lewis, Frank L.; Xie, L.; Kucera, V.; Abu-Khalaf, M.
15
2007
A neural network solution for fixed-final time optimal control of nonlinear systems. Zbl 1137.93331
Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad
11
2007
Neural network solution for finite-horizon \(H_\infty\) state feedback control of nonlinear systems. Zbl 1283.93108
Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad
2
2007
...and 86 more Documents
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Cited by 3,160 Authors

97 Lewis, Frank Leroy
23 Ge, Shuzhi Sam
23 Liu, Derong
23 Xu, Shengyuan
21 Shi, Peng
20 Duan, Zhisheng
20 Lam, James
20 Zhang, Huaguang
20 Zhang, Qingling
17 Cao, Jinde
16 Li, Zhongkui
15 Jiang, Zhong-Ping
15 Karampetakis, Nicholas P.
15 Vamvoudakis, Kyriakos G.
15 Wang, Ding
15 Xie, Lihua
14 Boukas, El-Kébir
14 Jia, Yingmin
14 Wei, Qinglai
13 Chen, Guanrong
13 Modares, Hamidreza
13 Tong, Shaocheng
13 Yang, Guanghong
12 Duan, Guangren
12 Ho, Daniel W. C.
12 Qu, Zhihua
12 Wen, Guanghui
11 Dong, XiWang
11 Lee, Tong Heng
11 Mertzios, Basil G.
10 Huang, Jiangshuai
10 Karcanias, Nicos
10 Kulikov, Gennady Yur’evich
10 Liu, Zhi
10 Malabre, Michel
10 Meng, Deyuan
10 Syrmos, Vassilis L.
10 Wang, Dan
10 Wen, Changyun
10 Zhao, Yu
9 Ahn, Choon Ki
9 Banaszuk, Andrzej
9 Gao, Lixin
9 Huang, Tingwen
9 Li, Junmin
9 Lin, Zongli
9 Liu, Chunsheng
9 Liu, Xiaoyang
9 Ma, Qian
9 Peng, Zhouhua
9 Yu, Wenwu
9 Zhang, Yun
8 Chen, Ben M.
8 Chen, Bing
8 Dixon, Warren E.
8 Du, Junping
8 Feng, Gang
8 He, Wei
8 He, ZhuoHeng
8 Kaczorek, Tadeusz
8 Kulikova, Maria V.
8 Li, Yongming
8 Lu, Renquan
8 Petersen, Ian Richard
8 Ren, Xuemei
8 Savkin, Andrey V.
8 Shieh, Leang-San
8 Song, Yongduan
8 Sun, Jingliang
8 Tsai, Jason Sheng-Hong
8 Wang, Jinzhi
8 Yang, Xiong
7 Aliyu, M. D. S.
7 Dawson, Darren M.
7 Ding, Zhengtao
7 Guan, Zhihong
7 Jagannathan, Sarangapani
7 Kociȩcki, Maciej
7 Liu, Yanjun
7 Ma, Tiedong
7 Na, Jing
7 Park, Juhyun (Jessie)
7 Ren, Wei
7 Wang, Qingwen
7 Wang, Zidong
7 Wu, Aiguo
7 Wu, Huaining
7 Zhong, Yisheng
6 Ailon, Amit
6 Antoniou, Efstathios N.
6 Chang, Fan-Ren
6 Chen, Jie
6 Chen, Kairui
6 Chen, Shinn-Horng
6 Chou, Jyhhorng
6 Christodoulou, Manolis A.
6 Fragulis, George F.
6 Hu, Guoqiang
6 Hu, Jiangping
6 Kalogeropoulos, Grigoris I.
...and 3,060 more Authors
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Cited in 157 Serials

372 Automatica
206 Journal of the Franklin Institute
146 International Journal of Control
101 Systems & Control Letters
79 Nonlinear Dynamics
71 International Journal of Robust and Nonlinear Control
63 Information Sciences
61 Circuits, Systems, and Signal Processing
59 International Journal of Systems Science. Principles and Applications of Systems and Integration
54 Applied Mathematics and Computation
54 Mathematical Problems in Engineering
44 International Journal of Systems Science
34 International Journal of Adaptive Control and Signal Processing
31 Linear Algebra and its Applications
28 Asian Journal of Control
27 Neural Networks
25 Fuzzy Sets and Systems
24 Kybernetika
23 European Journal of Control
20 Journal of Control Theory and Applications
19 Complexity
18 Optimal Control Applications & Methods
17 Journal of Optimization Theory and Applications
15 Journal of Computational and Applied Mathematics
15 Soft Computing
12 SIAM Journal on Control and Optimization
12 Nonlinear Analysis. Hybrid Systems
11 Discrete Dynamics in Nature and Society
11 Journal of Systems Science and Complexity
10 Computers & Mathematics with Applications
10 Multidimensional Systems and Signal Processing
10 Automation and Remote Control
10 Abstract and Applied Analysis
10 Communications in Nonlinear Science and Numerical Simulation
10 International Journal of Applied Mathematics and Computer Science
9 Applied Mathematical Modelling
9 Journal of Control Science and Engineering
9 Control Theory and Technology
8 Journal of Mathematical Analysis and Applications
8 Journal of Robotic Systems
8 Journal of Intelligent & Robotic Systems
7 International Journal of Computer Mathematics
6 Advances in Difference Equations
5 International Journal of General Systems
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 MCSS. Mathematics of Control, Signals, and Systems
5 Multibody System Dynamics
5 Science China. Information Sciences
4 International Journal of Production Research
4 Applied Mathematics Letters
4 Journal of Vibration and Control
4 Chaos
4 Journal of Applied Mathematics
4 Journal of Zhejiang University. Science A
3 Vestnik St. Petersburg University. Mathematics
3 Mechanism and Machine Theory
3 Journal of Applied Mathematics and Computing
3 Journal of Intelligent and Fuzzy Systems
2 Mathematical Biosciences
2 Physics Letters. A
2 Chaos, Solitons and Fractals
2 Kybernetes
2 Cybernetics and Systems
2 Applied Mathematics and Mechanics. (English Edition)
2 Stochastic Analysis and Applications
2 Applied Numerical Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Signal Processing
2 Neural Computation
2 Dynamics and Control
2 Numerical Algorithms
2 Computational Statistics and Data Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Computational Economics
2 Journal of Computer and Systems Sciences International
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 ELA. The Electronic Journal of Linear Algebra
2 Fractional Calculus & Applied Analysis
2 Differential Equations
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Algorithms
2 Arabian Journal for Science and Engineering
1 Modern Physics Letters B
1 Acta Mechanica
1 Biological Cybernetics
1 International Journal of Engineering Science
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Optimization
1 BIT
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal of Circuit Theory and Applications
1 Journal of Differential Equations
1 Journal of Economic Theory
1 Mathematics and Computers in Simulation
1 Mathematical Systems Theory
1 Meccanica
...and 57 more Serials
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Cited in 38 Fields

1,756 Systems theory; control (93-XX)
407 Computer science (68-XX)
191 Calculus of variations and optimal control; optimization (49-XX)
161 Ordinary differential equations (34-XX)
128 Operations research, mathematical programming (90-XX)
126 Biology and other natural sciences (92-XX)
92 Linear and multilinear algebra; matrix theory (15-XX)
79 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
77 Numerical analysis (65-XX)
76 Mechanics of particles and systems (70-XX)
57 Information and communication theory, circuits (94-XX)
44 Probability theory and stochastic processes (60-XX)
40 Combinatorics (05-XX)
22 Dynamical systems and ergodic theory (37-XX)
20 Difference and functional equations (39-XX)
17 Statistics (62-XX)
14 Partial differential equations (35-XX)
12 Mechanics of deformable solids (74-XX)
9 Operator theory (47-XX)
7 Real functions (26-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Mathematical logic and foundations (03-XX)
4 Optics, electromagnetic theory (78-XX)
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1 Field theory and polynomials (12-XX)
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1 General topology (54-XX)
1 Fluid mechanics (76-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)

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