Edit Profile Lewis, Frank Leroy Compute Distance To: Compute Author ID: lewis.frank-l 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 all top 5 Serials 64 Automatica 51 IEEE Transactions on Automatic Control 20 International Journal of Robust and Nonlinear Control 11 International Journal of Adaptive Control and Signal Processing 9 International Journal of Control 9 Circuits, Systems, and Signal Processing 9 Journal of Robotic Systems 5 International Journal of Systems Science 5 Journal of Intelligent & Robotic Systems 5 Control Theory and Technology 4 IEEE Transactions on Control of Network Systems 3 Kybernetika 3 Asian Journal of Control 2 Information Sciences 2 Neural Networks 2 IEE Proceedings. Part D. Control Theory and Applications 2 Journal of Control Theory and Applications 2 Advances in Industrial Control 1 Journal of the Franklin Institute 1 Journal of Guidance, Control and Dynamics 1 Fuzzy Sets and Systems 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 International Journal of Production Research 1 SIAM Journal on Matrix Analysis and Applications 1 Transactions of Nanjing University of Aeronautics & Astronautics 1 Complexity 1 Frontiers in Applied Mathematics 1 Control Engineering 1 Automation and Control Engineering 1 IET Control Theory & Applications 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 IET Control Engineering Series 1 IEEE Control Systems 1 Communications and Control Engineering all top 5 Fields 228 Systems theory; control (93-XX) 58 Computer science (68-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 27 Biology and other natural sciences (92-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Operations research, mathematical programming (90-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Ordinary differential equations (34-XX) 12 Mechanics of particles and systems (70-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 4 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications 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 0613.93029Lewis, F. L. 324 1986 Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit 143 2011 Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144Zhang, Hongwei; Lewis, Frank L. 133 2012 Distributed adaptive control for synchronization of unknown nonlinear networked systems. Zbl 1205.93045Das, Abhijit; Lewis, Frank L. 121 2010 Optimal estimation. With an introduction to stochastic control theory. Zbl 0665.93065Lewis, Frank L. 94 1986 Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach. Zbl 1087.49022Abu-Khalaf, Murad; Lewis, Frank L. 80 2005 Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038Vamvoudakis, Kyriakos G.; Lewis, Frank L. 78 2010 Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006Das, Abhijit; Lewis, Frank L. 55 2011 Optimal control. 3rd ed. Zbl 1284.49001Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L. 53 2012 Finite-time distributed consensus via binary control protocols. Zbl 1226.93008Chen, Gang; Lewis, Frank L.; Xie, Lihua 49 2011 Adaptive optimal control for continuous-time linear systems based on policy iteration. Zbl 1158.93354Vrabie, D.; Pastravanu, O.; Abu-Khalaf, M.; Lewis, F. L. 49 2009 Feedback linearization using neural networks. Zbl 0847.93032Yeşildirek, A.; Lewis, F. L. 48 1995 Deadzone compensation in motion control systems using neural networks. Zbl 0989.93068Šelmić, Rastko R.; Lewis, Frank L. 46 2000 Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015Lewis, 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 1335.93068Vrabie, Draguna; Lewis, Frank 43 2009 Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L. 41 2014 Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. Zbl 1395.93584Lewis, 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 1137.93321Al-Tamimi, Asma; Lewis, Frank L.; Abu-Khalaf, Murad 39 2007 A tutorial on the geometric analysis of linear time-invariant implicit systems. Zbl 0745.93033Lewis, F. L. 38 1992 Policy iterations on the Hamilton-Jacobi-Isaacs equation for \(H_{\infty}\) state feedback control with input saturation. Zbl 1366.93147Abu-Khalaf, Murad; Lewis, Frank L.; Huang, Jie 33 2006 Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026Hengster Movric, Kristian; Lewis, Frank L. 31 2014 Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Zbl 1259.93005Hengster-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 1237.91015Vamvoudakis, Kyriakos G.; Lewis, Frank L. 30 2011 A novel actor-critic-identifier architecture for approximate optimal control of uncertain nonlinear systems. Zbl 1257.93055Bhasin, 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 1267.93190Vamvoudakis, Kyriakos G.; Lewis, Frank L.; Hudas, Greg R. 28 2012 Applied optimal control & estimation. Digital design & implementation. Zbl 0778.93001Lewis, Frank L. 28 1992 Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021El-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 1298.49042Modares, 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 0601.15010Lewis, F. L. 27 1986 A dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems. Zbl 1047.93504Kim, Young H.; Lewis, Frank L.; Abdallah, Chaouki T. 25 1997 On constructing Lyapunov functions for multi-agent systems. Zbl 1330.93182Zhang, 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 1417.93134Kiumarsi, 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 1316.49007Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L. 24 2013 Output feedback eigenstructure assignment using two Sylvester equations. Zbl 0791.93035Syrmos, V. L.; Lewis, F. L. 24 1993 On the regularizability of singular systems. Zbl 0724.93011Özçaldiran, K.; Lewis, F. L. 23 1990 Fundamental, reachability, and observability matrices for discrete descriptor systems. Zbl 0557.93011Lewis, F. L. 22 1985 Stochastic optimal control of unknown linear networked control system in the presence of random delays and packet losses. Zbl 1244.93177Xu, Hao; Jagannathan, S.; Lewis, F. L. 20 2012 Identification of nonlinear dynamical systems using multilayered neural networks. Zbl 0879.93010Jagannathan, S.; Lewis, F. L. 20 1996 Dynamic analysis and control of a Stewart platform manipulator. Zbl 0774.70005Lebret, G.; Liu, K.; Lewis, F. L. 19 1993 The adaptive distributed observer approach to the cooperative output regulation of linear multi-agent systems. Zbl 1352.93058Cai, He; Lewis, Frank L.; Hu, Guoqiang; Huang, Jie 18 2017 Control of a nonholonomic mobile robot: Backstepping kinematics into dynamics. Zbl 0897.70019Fierro, R.; Lewis, F. L. 18 1997 Geometric structure and feedback in singular systems. Zbl 0674.93015Lewis, F. L.; Özçaldiran, K. 18 1989 Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001Lewis, Frank L.; Selmic, Rastko; Campos, J. 17 2002 Robust backstepping control of a class of nonlinear systems using fuzzy logic. Zbl 0953.93522Jagannathan, S.; Lewis, F. L. 17 2000 A geometric approach to eigenstructure assignment for singular systems. Zbl 0623.93031Ozcaldiran, K.; Lewis, F. 17 1987 Descriptor systems: Decomposition into forward and backward subsystems. Zbl 0534.93013Lewis, Frank L. 17 1984 Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. Zbl 1360.93726Modares, Hamidreza; Lewis, Frank L. 16 2014 Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073Modares, Hamidreza; Lewis, Frank L. 16 2014 Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010Liu, Shuai; Xie, Lihua; Lewis, Frank L. 16 2011 Flexible-link robot arm control by a feedback linearization/singular perturbation approach. Zbl 0812.70020Vandegrift, M. W.; Lewis, F. L.; Zhu, S. Q. 16 1994 A review of 2-D implicit systems. Zbl 0766.93035Lewis, F. L. 16 1992 Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009Ma, Qian; Xu, Shengyuan; Lewis, Frank L. 15 2014 Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011Vamvoudakis, Kyriakos G.; Lewis, F. L. 15 2012 Parameterization of all stabilizing \(H_{\infty }\) static state-feedback gains: application to output-feedback design. Zbl 1128.93342Gadewadikar, 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 0883.93045Commuri, S.; Lewis, F. L. 15 1997 On the analysis of discrete linear time-invariant singular systems. Zbl 0705.93058Lewis, 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 1331.93055Modares, Hamidreza; Lewis, Frank L.; Sistani, Mohammad-Bagher Naghibi 14 2014 Backstepping approach for controlling a quadrotor using Lagrange form dynamics. Zbl 1203.68222Das, Abhijit; Lewis, Frank; Subbarao, Kamesh 14 2009 A geometric theory for derivative feedback. Zbl 0754.93007Lewis, F. L.; Syrmos, V. L. 14 1991 Robust control for the tracking of robot motion. Zbl 0708.93057Dawson, D. M.; Qu, Z.; Lewis, F. L.; Dorsey, J. F. 14 1990 Fundamental matrix of discrete singular systems. Zbl 0689.93041Mertzios, B. G.; Lewis, F. L. 14 1989 Descriptor systems: expanded descriptor equation and Markov parameters. Zbl 0517.93005Lewis, Frank 14 1983 Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong 13 2016 Consensus of heterogeneous first- and second-order multi-agent systems with directed communication topologies. Zbl 1328.93021Feng, Yuanzhen; Xu, Shengyuan; Lewis, Frank L.; Zhang, Baoyong 13 2015 Adaptive dynamic programming for an online solution of a zero-sum differential game. Zbl 1249.90308Vrabie, Draguna; Lewis, Frank 13 2011 Discrete-time neural net controller for a class of nonlinear dynamical systems. Zbl 0872.93046Jagannathan, S.; Lewis, F. L. 13 1996 Direct controllability and observability time domain conditions of singular systems. Zbl 0666.93012Mertzios, 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 1133.93040Lewis, Frank L.; Xie, Lihua; Popa, Dan 12 2008 Adaptive fuzzy logic control of discrete-time dynamical systems. Zbl 0942.93020Jagannathan, S.; Vandegrift, M. W.; Lewis, F. L. 12 2000 Towards a paradigm for fuzzy logic control. Zbl 0845.93048Lewis, F. L.; Liu, Kai 12 1996 Aircraft flight controls design using output feedback. Zbl 0749.93035Stevens, B. L.; Lewis, F. L.; Al-Sunni, F. 12 1992 Analysis of singular systems using orthogonal functions. Zbl 0615.93033Lewis, F. L.; Mertzios, B. G. 12 1987 A neural network solution for fixed-final time optimal control of nonlinear systems. Zbl 1137.93331Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad 11 2007 Neural net backlash compensation with Hebbian tuning using dynamic inversion. Zbl 0992.93027Selmic, Rastko R.; Lewis, Frank L. 11 2001 Analysis of deadlock and circular waits using a matrix model for flexible manufacturing systems. Zbl 0966.90028Lewis, Frank L.; Gürel, Ayla; Bogdan, Stjepan; Doǧanalp, Alper; Pastravanu, Octavian C. 11 1998 High-level feedback control with neural networks. Zbl 0919.93002Kim, Y. H.; Lewis, F. L. 11 1998 Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz 10 2017 Multi-agent discrete-time graphical games and reinforcement learning solutions. Zbl 1367.91032Abouheaf, 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 1285.93009Qu, Zhihua; Li, Chaoyong; Lewis, Frank 10 2014 Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039Hengster-Movric, Kristian; Lewis, Frank 10 2013 Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L. 10 2012 Intelligent optimal control of robotic manipulators using neural networks. Zbl 1002.93039Kim, Young H.; Lewis, Frank L.; Dawson, Darren M. 10 2000 Geometric theory for the singular Roesser model. Zbl 0755.93014Karamancioğlu, A.; Lewis, F. L. 10 1992 Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011Ma, Tiedong; Lewis, Frank L.; Song, Yongduan 9 2016 Bipartite and cooperative output synchronizations of linear heterogeneous agents: a unified framework. Zbl 1370.93005Adib 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 1415.93234Gong, Dawei; Lewis, Frank L.; Wang, Liping; Xu, Ke 8 2016 Multi-agent zero-sum differential graphical games for disturbance rejection in distributed control. Zbl 1338.93023Jiao, 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 1213.93009Chen, Gang; Lewis, Frank L. 8 2011 Inner and outer geometry for singular systems with computation of subspaces. Zbl 0725.93023Beauchamp, G.; Banaszuk, A.; Kociȩcki, M.; Lewis, F. L. 8 1991 Geometric design techniques for observers in singular systems. Zbl 0712.93008Lewis, F. L. 8 1990 Generalized reachability subspaces for singular systems. Zbl 0689.93004Özcaldiran, K.; Lewis, F. L. 8 1989 Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali 7 2018 \(\mathrm{H}_\infty\) control of linear discrete-time systems: off-policy reinforcement learning. Zbl 1357.93034Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping 7 2017 Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023Wei, Qinglai; Liu, Derong; Lewis, Frank L. 7 2015 Distributed static output-feedback control for state synchronization in networks of identical LTI systems. Zbl 1371.93005Hengster-Movric, Kristian; Lewis, Frank L.; Sebek, Michael 7 2015 Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization. Zbl 1301.93007Bidram, Ali; Lewis, Frank L.; Davoudi, Ali 7 2014 Leader-following control for multiple inertial agents. Zbl 1232.93024Chen, Gang; Lewis, Frank L. 7 2011 Neural network compensation control for mechanical systems with disturbances. Zbl 1162.93345Ren, Xuemei; Lewis, Frank L.; Zhang, Jingliang 7 2009 Adaptive control of nonsmooth dynamic systems. Zbl 0982.93007Tao, Gang (ed.); Lewis, Frank L. (ed.) 7 2001 Coupled and constrained Sylvester equations in system design. Zbl 0864.93050Syrmos, Vassilis L.; Lewis, Frank L. 7 1994 Robust formation tracking control for multiple quadrotors subject to switching topologies. Zbl 07255383Liu, Hao; Wang, Yanhu; Lewis, Frank L.; Valavanis, Kimon P. 1 2020 Adaptive synchronization of multi-agent systems with resilience to communication link faults. Zbl 1430.93011Chen, 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 07091869Chen, Ci; Xie, Kan; Lewis, Frank L.; Xie, Shengli; Davoudi, Ali 4 2019 Bipartite tracking of homogeneous and heterogeneous linear multi-agent systems. Zbl 1425.93018Jiao, 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 1415.93102Chen, 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 07044273Xiao, Qiang; Lewis, Frank L.; Zeng, Zhigang 3 2019 Cooperative output regulation of heterogeneous linear multi-agent networks via \(H_\infty\) performance allocation. Zbl 07044219Li, Xianwei; Soh, Yeng Chai; Xie, Lihua; Lewis, Frank L. 3 2019 A unified strategy for solution seeking in graphical \(N\)-coalition noncooperative games. Zbl 07158540Ye, 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 07158522Chen, 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 1429.93247Liu, 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 1426.93061Liu, 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 1414.93108Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L. 2 2019 Output-feedback \(H_\infty\) quadratic tracking control of linear systems using reinforcement learning. Zbl 1417.93141Moghadam, Rohollah; Lewis, Frank L. 1 2019 Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali 7 2018 Leader-to-formation stability of multiagent systems: an adaptive optimal control approach. Zbl 1423.93015Gao, Weinan; Jiang, Zhong-Ping; Lewis, Frank L.; Wang, Yebin 6 2018 Nash equilibrium seeking for \(N\)-coalition noncooperative games. Zbl 1417.91031Ye, Maojiao; Hu, Guoqiang; Lewis, Frank L. 4 2018 Bipartite output synchronization of heterogeneous multiagent systems on signed digraphs. Zbl 1397.93015Zuo, Shan; Lewis, Frank L.; Song, Yongduan; Davoudi, Ali 3 2018 Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. Zbl 1390.49028Modares, Hamidreza; Lewis, Frank L.; Kang, Wei; Davoudi, Ali 2 2018 Consensus controller for multi-UAV navigation. Zbl 1424.93185Kolaric, Patrik; Chen, Ci; Dalal, Ankur; Lewis, Frank L. 1 2018 \(H_\infty\)-output regulation of linear heterogeneous multiagent systems over switching graphs. Zbl 1397.93070Yaghmaie, 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 1352.93058Cai, He; Lewis, Frank L.; Hu, Guoqiang; Huang, Jie 18 2017 Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz 10 2017 Bipartite and cooperative output synchronizations of linear heterogeneous agents: a unified framework. Zbl 1370.93005Adib 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 1357.93034Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping 7 2017 Multiparty consensus of linear heterogeneous multiagent systems. Zbl 1390.93090Yaghmaie, Farnaz Adib; Su, Rong; Lewis, Frank L.; Xie, Lihua 5 2017 Coordination of multi-agent systems on interacting physical and communication topologies. Zbl 1356.93006Wang, Junwei; Chen, Kairui; Lewis, Frank L. 5 2017 Adaptive synchronisation of unknown nonlinear networked systems with prescribed performance. Zbl 1358.93009Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L. 4 2017 Output synchronization of heterogeneous discrete-time systems: a model-free optimal approach. Zbl 1376.93064Kiumarsi, Bahare; Lewis, Frank L. 3 2017 Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong 13 2016 Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011Ma, 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 1415.93234Gong, Dawei; Lewis, Frank L.; Wang, Liping; Xu, Ke 8 2016 Multi-agent zero-sum differential graphical games for disturbance rejection in distributed control. Zbl 1338.93023Jiao, Qiang; Modares, Hamidreza; Xu, Shengyuan; Lewis, Frank L.; Vamvoudakis, Kyriakos G. 8 2016 Heterogeneous multi-agent systems: reduced-order synchronization and geometry. Zbl 1359.93174Lewis, 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 1343.93006Modares, 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 1343.93040Jiao, 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 1342.93014Yaghmaie, Farnaz Adib; Lewis, Frank L.; Su, Rong 4 2016 Model reference adaptive impedance control for physical human-robot interaction. Zbl 1363.93124Alqaudi, 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 1330.93182Zhang, 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 1328.93021Feng, Yuanzhen; Xu, Shengyuan; Lewis, Frank L.; Zhang, Baoyong 13 2015 Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023Wei, Qinglai; Liu, Derong; Lewis, Frank L. 7 2015 Distributed static output-feedback control for state synchronization in networks of identical LTI systems. Zbl 1371.93005Hengster-Movric, Kristian; Lewis, Frank L.; Sebek, Michael 7 2015 Cooperative containment of discrete-time linear multi-agent systems. Zbl 1312.93007Ma, Qian; Lewis, Frank L.; Xu, Shengyuan 6 2015 Discrete-time dynamic graphical games: model-free reinforcement learning solution. Zbl 1340.91018Abouheaf, 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 1395.93039Hengster-Movric, Kristian; Lewis, Frank L.; Šebek, Michael; Vyhlídal, Tomáš 1 2015 Adaptive terminal ILC for iteration-varying target points. Zbl 1332.93128Chi, Ronghu; Wang, Danwei; Lewis, Frank L.; Hou, Zhongsheng; Jin, Shangtai 1 2015 Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015Lewis, Frank L.; Zhang, Hongwei; Hengster-Movric, Kristian; Das, Abhijit 43 2014 Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L. 41 2014 Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026Hengster Movric, Kristian; Lewis, Frank L. 31 2014 Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021El-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 1298.49042Modares, 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 1417.93134Kiumarsi, 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 1360.93726Modares, Hamidreza; Lewis, Frank L. 16 2014 Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073Modares, Hamidreza; Lewis, Frank L. 16 2014 Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009Ma, 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 1331.93055Modares, Hamidreza; Lewis, Frank L.; Sistani, Mohammad-Bagher Naghibi 14 2014 Multi-agent discrete-time graphical games and reinforcement learning solutions. Zbl 1367.91032Abouheaf, 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 1285.93009Qu, Zhihua; Li, Chaoyong; Lewis, Frank 10 2014 Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization. Zbl 1301.93007Bidram, Ali; Lewis, Frank L.; Davoudi, Ali 7 2014 Internal structure of coalitions in competitive and altruistic graphical coalitional games. Zbl 1364.91020Aurangzeb, 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 1305.93210Xu, Hao; Jagannathan, S.; Lewis, F. L. 1 2014 Online adaptive algorithm for with integral reinforcement learning. Zbl 1304.49059Vamvoudakis, Kyriakos G.; Vrabie, Draguna; Lewis, Frank L. 1 2014 Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Zbl 1259.93005Hengster-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 1257.93055Bhasin, 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 1316.49007Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L. 24 2013 Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039Hengster-Movric, Kristian; Lewis, Frank 10 2013 Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144Zhang, Hongwei; Lewis, Frank L. 133 2012 Optimal control. 3rd ed. Zbl 1284.49001Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L. 53 2012 Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. Zbl 1395.93584Lewis, Frank L.; Vrabie, Draguna; Vamvoudakis, Kyriakos G. 40 2012 Multi-agent differential graphical games: online adaptive learning solution for synchronization with optimality. Zbl 1267.93190Vamvoudakis, 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 1244.93177Xu, Hao; Jagannathan, S.; Lewis, F. L. 20 2012 Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011Vamvoudakis, Kyriakos G.; Lewis, F. L. 15 2012 Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L. 10 2012 Coordination of networked systems on digraphs with multiple leaders via pinning control. Zbl 1259.93003Chen, Gang; Lewis, Frank L. 5 2012 Distributed tracking control for networked mechanical systems. Zbl 1303.93010Chen, Gang; Lewis, Frank L. 3 2012 Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit 143 2011 Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006Das, Abhijit; Lewis, Frank L. 55 2011 Finite-time distributed consensus via binary control protocols. Zbl 1226.93008Chen, Gang; Lewis, Frank L.; Xie, Lihua 49 2011 Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations. Zbl 1237.91015Vamvoudakis, Kyriakos G.; Lewis, Frank L. 30 2011 Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010Liu, Shuai; Xie, Lihua; Lewis, Frank L. 16 2011 Adaptive dynamic programming for an online solution of a zero-sum differential game. Zbl 1249.90308Vrabie, Draguna; Lewis, Frank 13 2011 Robust consensus of multiple inertial agents with coupling delays and variable topologies. Zbl 1213.93009Chen, Gang; Lewis, Frank L. 8 2011 Leader-following control for multiple inertial agents. Zbl 1232.93024Chen, Gang; Lewis, Frank L. 7 2011 Distributed adaptive control for synchronization of unknown nonlinear networked systems. Zbl 1205.93045Das, Abhijit; Lewis, Frank L. 121 2010 Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038Vamvoudakis, 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 1205.93046Kim, J.-H.; Lewis, F. L. 4 2010 Online adaptive optimal control based on reinforcement learning. Zbl 1204.49043Vrabie, Draguna; Lewis, Frank 1 2010 Adaptive optimal control for continuous-time linear systems based on policy iteration. Zbl 1158.93354Vrabie, 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 1335.93068Vrabie, Draguna; Lewis, Frank 43 2009 Backstepping approach for controlling a quadrotor using Lagrange form dynamics. Zbl 1203.68222Das, Abhijit; Lewis, Frank; Subbarao, Kamesh 14 2009 Neural network compensation control for mechanical systems with disturbances. Zbl 1162.93345Ren, Xuemei; Lewis, Frank L.; Zhang, Jingliang 7 2009 Multi-frequency disturbance rejection via blending control technique for hard disk drives. Zbl 1179.93068Du, 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 1162.93362Herrmann, 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 1133.93040Lewis, 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 1284.93088Du, C.; Ge, S. S.; Lewis, F. L. 3 2008 Model-free adaptive dynamic programming algorithms for \(H\)-infinity control of complex linear systems. Zbl 1210.90170Al-Tamimi, Asma; Abu-Khalaf, Murad; Lewis, Frank L. 2 2008 Neural network-based adaptive optimal controller – a continuous-time formulation. Zbl 1155.49033Vrabie, 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 1137.93321Al-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 1128.93342Gadewadikar, 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 1137.93331Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad 11 2007 Neural network solution for finite-horizon \(H_\infty\) state feedback control of nonlinear systems. Zbl 1283.93108Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad 2 2007 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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