Edit Profile (opens in new tab) Lewis, Frank Leroy Compute Distance To: Compute Author ID: lewis.frank-l Published as: Lewis, Frank L.; Lewis, F. L.; Lewis, Frank; Lewis, F. more...less Homepage: http://www.uta.edu/utari/acs/ External Links: MGP · ORCID · Google Scholar · dblp · GND Documents Indexed: 255 Publications since 1979, including 11 Books 7 Contributions as Editor Co-Authors: 202 Co-Authors with 232 Joint Publications 5,058 Co-Co-Authors all top 5 Co-Authors 16 single-authored 14 Modares, Hamidreza 12 Liu, Kai 12 Vamvoudakis, Kyriakos G. 11 Mertzios, Basil G. 11 Syrmos, Vassilis L. 11 Xie, Lihua 10 Abu-Khalaf, Murad 10 Davoudi, Ali 10 Vrabie, Draguna 9 Chen, Ci 8 Hengster-Movrić, Kristian 8 Song, Yongduan 8 Wan, Yan 7 Adib Yaghmaie, Farnaz 7 Lopez, Victor G. 7 Özçaldiran, Kadri 7 Xu, Shengyuan 6 El Ferik, Sami A. 6 Liu, Hao 6 Su, Rong 6 Zuo, Shan 5 Das, Abhijit 5 Xie, Shengli 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 Chai, Tianyou 3 Fountain, D. W. 3 Hu, Guoqiang 3 Huang, Jie 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 Xiao, Qiang 3 Xu, Hao 3 Yeşildirek, A. 3 Zeng, Zhigang 2 Al-Tamimi, Asma 2 Alqaudi, Bakur 2 Babuška, Robert 2 Banaszuk, Andrzej 2 Bidram, Ali 2 Chen, Kairui 2 Cheng, Tao 2 Dixon, Warren E. 2 Dorsey, John F. 2 Du, Chunling 2 Estabridis, Katia 2 Fan, Jialu 2 Gao, Weinan 2 Gong, Dawei 2 Hashim, Hashim A. 2 Hewer, Gary Arthur 2 Hou, Zhongsheng 2 Huang, Jinquan 2 Huang, Tingwen 2 Ji, Honghai 2 Jiang, Zhong-Ping 2 Li, Xiaolei 2 Li, Zhongkui 2 Liu, Mushuang 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 Yang, Qing 2 Ye, Maojiao 2 Zhang, Baoyong 2 Zhao, Wanbing 1 Al-Rawashdeh, Yazan M. 1 Aurangzeb, Muhammad 1 Ballal, P. M. 1 Benosman, Mouhacine 1 Bhasin, Shubhendu 1 Cai, He ...and 102 more Co-Authors all top 5 Serials 70 Automatica 55 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 5 IEEE Transactions on Control of Network Systems 3 Kybernetika 3 Asian Journal of Control 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Journal of the Franklin Institute 2 Information Sciences 2 Neural Networks 2 IEE Proceedings. Part D. Control Theory and Applications 2 Journal of Control Theory and Applications 2 IEEE Control Systems 2 Advances in Industrial Control 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 Studies in Systems, Decision and Control 1 IET Control Engineering Series 1 Communications and Control Engineering all top 5 Fields 242 Systems theory; control (93-XX) 60 Computer science (68-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 27 Biology and other natural sciences (92-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Operations research, mathematical programming (90-XX) 20 Ordinary differential equations (34-XX) 17 Linear and multilinear algebra; matrix theory (15-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 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 3 Special functions (33-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 Open 202 Publications have been cited 3,553 times in 2,285 Documents Cited by ▼ Year ▼ A survey of linear singular systems. Zbl 0613.93029Lewis, F. L. 348 1986 Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit 164 2011 Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144Zhang, Hongwei; Lewis, Frank L. 156 2012 Distributed adaptive control for synchronization of unknown nonlinear networked systems. Zbl 1205.93045Das, Abhijit; Lewis, Frank L. 129 2010 Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038Vamvoudakis, Kyriakos G.; Lewis, Frank L. 100 2010 Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach. Zbl 1087.49022Abu-Khalaf, Murad; Lewis, Frank L. 99 2005 Optimal control. 3rd ed. Zbl 1284.49001Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L. 83 2012 Adaptive optimal control for continuous-time linear systems based on policy iteration. Zbl 1158.93354Vrabie, D.; Pastravanu, O.; Abu-Khalaf, M.; Lewis, F. L. 62 2009 Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015Lewis, Frank L.; Zhang, Hongwei; Hengster-Movric, Kristian; Das, Abhijit 62 2014 Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006Das, Abhijit; Lewis, Frank L. 59 2011 Finite-time distributed consensus via binary control protocols. Zbl 1226.93008Chen, Gang; Lewis, Frank L.; Xie, Lihua 55 2011 Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems. Zbl 1335.93068Vrabie, Draguna; Lewis, Frank 53 2009 Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. Zbl 1395.93584Lewis, Frank L.; Vrabie, Draguna; Vamvoudakis, Kyriakos G. 53 2012 Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L. 51 2014 Optimal estimation. With an introduction to stochastic control theory. Zbl 0665.93065Lewis, Frank L. 50 1986 Feedback linearization using neural networks. Zbl 0847.93032Yeşildirek, A.; Lewis, F. L. 49 1995 Deadzone compensation in motion control systems using neural networks. Zbl 0989.93068Šelmić, Rastko R.; Lewis, Frank L. 48 2000 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 48 2007 Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations. Zbl 1237.91015Vamvoudakis, Kyriakos G.; Lewis, Frank L. 42 2011 A tutorial on the geometric analysis of linear time-invariant implicit systems. Zbl 0745.93033Lewis, F. L. 41 1992 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. 38 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. 38 2012 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 36 2006 Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026Hengster Movric, Kristian; Lewis, Frank L. 36 2014 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 35 2017 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 35 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 34 2013 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 34 2014 On constructing Lyapunov functions for multi-agent systems. Zbl 1330.93182Zhang, Hongwei; Li, Zhongkui; Qu, Zhihua; Lewis, Frank L. 33 2015 Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021El-Ferik, Sami; Qureshi, Aminuddin; Lewis, Frank L. 31 2014 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. 28 1997 Output feedback eigenstructure assignment using two Sylvester equations. Zbl 0791.93035Syrmos, V. L.; Lewis, F. L. 27 1993 Further remarks on the Cayley-Hamilton theorem and Leverrier’s method for the matrix pencil (sE-A). Zbl 0601.15010Lewis, F. L. 26 1986 Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073Modares, Hamidreza; Lewis, Frank L. 26 2014 Optimal adaptive control and differential games by reinforcement learning principles. Zbl 1316.49007Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L. 25 2013 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. 24 2012 On the regularizability of singular systems. Zbl 0724.93011Özçaldiran, K.; Lewis, F. L. 23 1990 Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong 22 2016 Applied optimal control & estimation. Digital design & implementation. Zbl 0778.93001Lewis, Frank L. 22 1992 Fundamental, reachability, and observability matrices for discrete descriptor systems. Zbl 0557.93011Lewis, F. L. 22 1985 Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010Liu, Shuai; Xie, Lihua; Lewis, Frank L. 22 2011 Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. Zbl 1360.93726Modares, Hamidreza; Lewis, Frank L. 22 2014 Dynamic analysis and control of a Stewart platform manipulator. Zbl 0774.70005Lebret, G.; Liu, K.; Lewis, F. L. 21 1993 Control of a nonholonomic mobile robot: Backstepping kinematics into dynamics. Zbl 0897.70019Fierro, R.; Lewis, F. L. 20 1997 Identification of nonlinear dynamical systems using multilayered neural networks. Zbl 0879.93010Jagannathan, S.; Lewis, F. L. 19 1996 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 19 2014 Neuro-fuzzy control of industrial systems with actuator nonlinearities. Zbl 1010.93001Lewis, Frank L.; Selmic, Rastko; Campos, J. 19 2002 Geometric structure and feedback in singular systems. Zbl 0674.93015Lewis, F. L.; Özçaldiran, K. 18 1989 Flexible-link robot arm control by a feedback linearization/singular perturbation approach. Zbl 0812.70020Vandegrift, M. W.; Lewis, F. L.; Zhu, S. Q. 17 1994 Robust backstepping control of a class of nonlinear systems using fuzzy logic. Zbl 0953.93522Jagannathan, S.; Lewis, F. L. 17 2000 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 17 2015 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. 17 2007 On the analysis of discrete linear time-invariant singular systems. Zbl 0705.93058Lewis, F. L.; Mertzios, B. G. 17 1990 Descriptor systems: Decomposition into forward and backward subsystems. Zbl 0534.93013Lewis, Frank L. 17 1984 Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011Vamvoudakis, Kyriakos G.; Lewis, F. L. 17 2012 A geometric approach to eigenstructure assignment for singular systems. Zbl 0623.93031Ozcaldiran, K.; Lewis, F. 16 1987 A review of 2-D implicit systems. Zbl 0766.93035Lewis, F. L. 16 1992 Backstepping approach for controlling a quadrotor using Lagrange form dynamics. Zbl 1203.68222Das, Abhijit; Lewis, Frank; Subbarao, Kamesh 16 2009 Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009Ma, Qian; Xu, Shengyuan; Lewis, Frank L. 16 2014 CMAC neural networks for control of nonlinear dynamical systems: Structure, stability and passivity. Zbl 0883.93045Commuri, S.; Lewis, F. L. 15 1997 Discrete-time neural net controller for a class of nonlinear dynamical systems. Zbl 0872.93046Jagannathan, S.; Lewis, F. L. 15 1996 A neural network solution for fixed-final time optimal control of nonlinear systems. Zbl 1137.93331Cheng, Tao; Lewis, Frank L.; Abu-Khalaf, Murad 15 2007 Bipartite and cooperative output synchronizations of linear heterogeneous agents: a unified framework. Zbl 1370.93005Adib Yaghmaie, Farnaz; Su, Rong; Lewis, Frank L.; Olaru, Sorin 15 2017 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 Direct controllability and observability time domain conditions of singular systems. Zbl 0666.93012Mertzios, B. G.; Christodoulou, M. A.; Syrmos, B. L.; Lewis, F. L. 14 1988 Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L. 14 2012 Fundamental matrix of discrete singular systems. Zbl 0689.93041Mertzios, B. G.; Lewis, F. L. 14 1989 Robust control for the tracking of robot motion. Zbl 0708.93057Dawson, D. M.; Qu, Z.; Lewis, F. L.; Dorsey, J. F. 14 1990 Descriptor systems: expanded descriptor equation and Markov parameters. Zbl 0517.93005Lewis, Frank 14 1983 Leader-to-formation stability of multiagent systems: an adaptive optimal control approach. Zbl 1423.93015Gao, Weinan; Jiang, Zhong-Ping; Lewis, Frank L.; Wang, Yebin 14 2018 A geometric theory for derivative feedback. Zbl 0754.93007Lewis, F. L.; Syrmos, V. L. 13 1991 Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz 13 2017 Adaptive dynamic programming for an online solution of a zero-sum differential game. Zbl 1249.90308Vrabie, Draguna; Lewis, Frank 13 2011 Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. Zbl 1390.49028Modares, Hamidreza; Lewis, Frank L.; Kang, Wei; Davoudi, Ali 12 2018 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 Analysis of singular systems using orthogonal functions. Zbl 0615.93033Lewis, F. L.; Mertzios, B. G. 12 1987 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. 12 2016 Optimal and robust estimation. With an introduction to stochastic control theory. 2nd ed. Zbl 1133.93040Lewis, Frank L.; Xie, Lihua; Popa, Dan 12 2008 Fully distributed resilience for adaptive exponential synchronization of heterogeneous multiagent systems against actuator faults. Zbl 1482.93035Chen, Ci; Xie, Kan; Lewis, Frank L.; Xie, Shengli; Davoudi, Ali 12 2019 Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali 11 2018 Containment control for multiagent systems under two intermittent control schemes. Zbl 1482.93057Xiao, Qiang; Lewis, Frank L.; Zeng, Zhigang 11 2019 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 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. 11 2016 Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011Ma, Tiedong; Lewis, Frank L.; Song, Yongduan 11 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 11 2016 \(\mathrm{H}_\infty\) control of linear discrete-time systems: off-policy reinforcement learning. Zbl 1357.93034Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping 11 2017 Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039Hengster-Movric, Kristian; Lewis, Frank 11 2013 Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023Wei, Qinglai; Liu, Derong; Lewis, Frank L. 10 2015 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 High-level feedback control with neural networks. Zbl 0919.93002Kim, Y. H.; Lewis, F. L. 10 1998 Adaptive synchronisation of unknown nonlinear networked systems with prescribed performance. Zbl 1358.93009Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L. 10 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 9 2016 Coupled and constrained Sylvester equations in system design. Zbl 0864.93050Syrmos, Vassilis L.; Lewis, Frank L. 9 1994 Aircraft flight controls design using output feedback. Zbl 0749.93035Stevens, B. L.; Lewis, F. L.; Al-Sunni, F. 9 1992 Cooperative containment of discrete-time linear multi-agent systems. Zbl 1312.93007Ma, Qian; Lewis, Frank L.; Xu, Shengyuan 9 2015 Neural network compensation control for mechanical systems with disturbances. Zbl 1162.93345Ren, Xuemei; Lewis, Frank L.; Zhang, Jingliang 9 2009 Heterogeneous multi-agent systems: reduced-order synchronization and geometry. Zbl 1359.93174Lewis, Frank L.; Cui, Bing; Ma, Tiedong; Song, Yongduan; Zhao, Chunhui 9 2016 Data-driven fault-tolerant control for attitude synchronization of nonlinear quadrotors. Zbl 07480574Zhao, Wanbing; Liu, Hao; Lewis, Frank L. 1 2021 Cooperative adaptive optimal output regulation of nonlinear discrete-time multi-agent systems. Zbl 1448.93159Jiang, Yi; Fan, Jialu; Gao, Weinan; Chai, Tianyou; Lewis, Frank L. 5 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 4 2020 Off-policy learning for adaptive optimal output synchronization of heterogeneous multi-agent systems. Zbl 1451.93012Chen, Ci; Lewis, Frank L.; Xie, Kan; Xie, Shengli; Liu, Yilu 3 2020 Robust formation tracking control for multiple quadrotors subject to switching topologies. Zbl 07255383Liu, Hao; Wang, Yanhu; Lewis, Frank L.; Valavanis, Kimon P. 2 2020 A distributed continuous-time algorithm for nonsmooth constrained optimization. Zbl 07320069Chen, Gang; Yang, Qing; Song, Yongduan; Lewis, Frank L. 1 2020 Bayesian graphical games for synchronization in networks of dynamical systems. Zbl 07255356Lopez, Victor G.; Wan, Yan; Lewis, Frank L. 1 2020 Stability and robustness analysis of minmax solutions for differential graphical games. Zbl 1448.91048Lopez, Victor G.; Lewis, Frank L.; Wan, Yan; Liu, Mushuang; Hewer, Gary; Estabridis, Katia 1 2020 Cluster output regulation of heterogeneous multi-agent systems. Zbl 1454.93256Chen, Kairui; Wang, Junwei; Zeng, Xianxian; Zhang, Yun; Lewis, Frank L. 1 2020 Fully distributed resilience for adaptive exponential synchronization of heterogeneous multiagent systems against actuator faults. Zbl 1482.93035Chen, Ci; Xie, Kan; Lewis, Frank L.; Xie, Shengli; Davoudi, Ali 12 2019 Containment control for multiagent systems under two intermittent control schemes. Zbl 1482.93057Xiao, Qiang; Lewis, Frank L.; Zeng, Zhigang 11 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 8 2019 Reinforcement learning-based adaptive optimal exponential tracking control of linear systems with unknown dynamics. Zbl 1482.93302Chen, Ci; Modares, Hamidreza; Xie, Kan; Lewis, Frank L.; Wan, Yan; Xie, Shengli 7 2019 A unified strategy for solution seeking in graphical \(N\)-coalition noncooperative games. Zbl 1482.91008Ye, Maojiao; Hu, Guoqiang; Lewis, Frank L.; Xie, Lihua 7 2019 Cooperative output regulation of heterogeneous linear multi-agent networks via \(H_\infty\) performance allocation. Zbl 1482.93044Li, Xianwei; Soh, Yeng Chai; Xie, Lihua; Lewis, Frank L. 5 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. 5 2019 Bipartite tracking of homogeneous and heterogeneous linear multi-agent systems. Zbl 1425.93018Jiao, Qiang; Zhang, Hongwei; Xu, Shengyuan; Lewis, Frank L.; Xie, Lihua 5 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. 4 2019 Time-varying output formation containment of general linear homogeneous and heterogeneous multiagent systems. Zbl 07093918Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali 4 2019 Robust adaptive trajectory tracking control of underactuated autonomous underwater vehicles with prescribed performance. Zbl 1426.93059Li, Jian; Du, Jialu; Sun, Yuqing; Lewis, Frank L. 4 2019 Robust backstepping-based trajectory tracking control for quadrotors with time delays. Zbl 1432.93170Liu, Hao; Zhao, Wanbing; Hong, Sheng; Lewis, Frank L.; Yu, Yao 2 2019 Robust time-varying formation control for multiple underwater vehicles subject to nonlinearities and uncertainties. Zbl 1418.93073Liu, Hao; Lyu, Yafei; Lewis, Frank L.; Wan, Yan 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 Open-loop Stackelberg learning solution for hierarchical control problems. Zbl 1417.93038Vamvoudakis, Kyriakos G.; Lewis, Frank L.; Dixon, Warren E. 1 2019 Output-feedback \(H_\infty\) quadratic tracking control of linear systems using reinforcement learning. Zbl 1417.93141Moghadam, Rohollah; Lewis, Frank L. 1 2019 Differential graphical games for \(H_\infty\) control of linear heterogeneous multiagent systems. Zbl 1418.93088Yaghmaie, Farnaz Adib; Movric, Kristian Hengster; Lewis, Frank L.; Su, Rong 1 2019 Leader-to-formation stability of multiagent systems: an adaptive optimal control approach. Zbl 1423.93015Gao, Weinan; Jiang, Zhong-Ping; Lewis, Frank L.; Wang, Yebin 14 2018 Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. Zbl 1390.49028Modares, Hamidreza; Lewis, Frank L.; Kang, Wei; Davoudi, Ali 12 2018 Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Zbl 1417.93186Zuo, Shan; Song, Yongduan; Lewis, Frank L.; Davoudi, Ali 11 2018 Nash equilibrium seeking for \(N\)-coalition noncooperative games. Zbl 1417.91031Ye, Maojiao; Hu, Guoqiang; Lewis, Frank L. 7 2018 Bipartite output synchronization of heterogeneous multiagent systems on signed digraphs. Zbl 1397.93015Zuo, Shan; Lewis, Frank L.; Song, Yongduan; Davoudi, Ali 5 2018 Distributed containment control for nonlinear multiagent systems in pure-feedback form. Zbl 1391.93009Cui, Guozeng; Xu, Shengyuan; Chen, Xinkai; Lewis, Frank L.; Zhang, Baoyong 3 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 35 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 15 2017 Distributed information-weighted Kalman consensus filter for sensor networks. Zbl 1355.93185Ji, Honghai; Lewis, Frank L.; Hou, Zhongsheng; Mikulski, Dariusz 13 2017 \(\mathrm{H}_\infty\) control of linear discrete-time systems: off-policy reinforcement learning. Zbl 1357.93034Kiumarsi, Bahare; Lewis, Frank L.; Jiang, Zhong-Ping 11 2017 Adaptive synchronisation of unknown nonlinear networked systems with prescribed performance. Zbl 1358.93009Hashim, Hashim A.; El-Ferik, Sami; Lewis, Frank L. 10 2017 Coordination of multi-agent systems on interacting physical and communication topologies. Zbl 1356.93006Wang, Junwei; Chen, Kairui; Lewis, Frank L. 6 2017 Output synchronization of heterogeneous discrete-time systems: a model-free optimal approach. Zbl 1376.93064Kiumarsi, Bahare; Lewis, Frank L. 6 2017 Multiparty consensus of linear heterogeneous multiagent systems. Zbl 1390.93090Yaghmaie, Farnaz Adib; Su, Rong; Lewis, Frank L.; Xie, Lihua 5 2017 A unified approach to output synchronization of heterogeneous multi-agent systems via \({\mathcal{L}_2}\)-gain design. Zbl 1399.93088Zuo, Shan; Song, Yongduan; Modares, Hamidreza; Lewis, Frank L.; Davoudi, Ali 1 2017 Output regulation of linear heterogeneous multi-agent systems via output and state feedback. Zbl 1335.93051Adib Yaghmaie, Farnaz; Lewis, Frank L.; Su, Rong 22 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. 12 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. 11 2016 Exponential synchronization of nonlinear multi-agent systems with time delays and impulsive disturbances. Zbl 1342.93011Ma, Tiedong; Lewis, Frank L.; Song, Yongduan 11 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 11 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 9 2016 Heterogeneous multi-agent systems: reduced-order synchronization and geometry. Zbl 1359.93174Lewis, Frank L.; Cui, Bing; Ma, Tiedong; Song, Yongduan; Zhao, Chunhui 9 2016 Output regulation of heterogeneous linear multi-agent systems with differential graphical game. Zbl 1342.93014Yaghmaie, Farnaz Adib; Lewis, Frank L.; Su, Rong 6 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. 2 2016 On constructing Lyapunov functions for multi-agent systems. Zbl 1330.93182Zhang, Hongwei; Li, Zhongkui; Qu, Zhihua; Lewis, Frank L. 33 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 17 2015 Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games. Zbl 1386.93023Wei, Qinglai; Liu, Derong; Lewis, Frank L. 10 2015 Cooperative containment of discrete-time linear multi-agent systems. Zbl 1312.93007Ma, Qian; Lewis, Frank L.; Xu, Shengyuan 9 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 8 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. 5 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 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 Cooperative control of multi-agent systems. Optimal and adaptive design approaches. Zbl 1417.93015Lewis, Frank L.; Zhang, Hongwei; Hengster-Movric, Kristian; Das, Abhijit 62 2014 Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties. Zbl 1298.93026Li, Zhongkui; Duan, Zhisheng; Lewis, Frank L. 51 2014 Cooperative optimal control for multi-agent systems on directed graph topologies. Zbl 1360.49026Hengster Movric, Kristian; Lewis, Frank L. 36 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 35 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 34 2014 Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems. Zbl 1298.93021El-Ferik, Sami; Qureshi, Aminuddin; Lewis, Frank L. 31 2014 Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning. Zbl 1296.93073Modares, Hamidreza; Lewis, Frank L. 26 2014 Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning. Zbl 1360.93726Modares, Hamidreza; Lewis, Frank L. 22 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 19 2014 Second-order consensus for directed multi-agent systems with sampled data. Zbl 1302.93009Ma, Qian; Xu, Shengyuan; Lewis, Frank L. 16 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 Cooperative control with distributed gain adaptation and connectivity estimation for directed networks. Zbl 1285.93009Qu, Zhihua; Li, Chaoyong; Lewis, Frank 9 2014 Synchronization of nonlinear heterogeneous cooperative systems using input-output feedback linearization. Zbl 1301.93007Bidram, Ali; Lewis, Frank L.; Davoudi, Ali 9 2014 Online adaptive algorithm for with integral reinforcement learning. Zbl 1304.49059Vamvoudakis, Kyriakos G.; Vrabie, Draguna; Lewis, Frank L. 4 2014 Distributed control systems for small-scale power networks: using multiagent cooperative control theory. Zbl 1476.93118Bidram, Ali; Lewis, Frank L.; Davoudi, Ali 2 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 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. 38 2013 Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Zbl 1259.93005Hengster-Movric, Kristian; You, Keyou; Lewis, Frank L.; Xie, Lihua 34 2013 Optimal adaptive control and differential games by reinforcement learning principles. Zbl 1316.49007Vrabie, Draguna; Vamvoudakis, Kyriakos G.; Lewis, Frank L. 25 2013 Cooperative observers and regulators for discrete-time multiagent systems. Zbl 1286.93039Hengster-Movric, Kristian; Lewis, Frank 11 2013 Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Zbl 1348.93144Zhang, Hongwei; Lewis, Frank L. 156 2012 Optimal control. 3rd ed. Zbl 1284.49001Lewis, Frank L.; Vrabie, Draguna; Syrmos, Vassilis L. 83 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. 53 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. 38 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. 24 2012 Online solution of nonlinear two-player zero-sum games using synchronous policy iteration. Zbl 1292.91011Vamvoudakis, Kyriakos G.; Lewis, F. L. 17 2012 Consensusability of discrete-time dynamic multiagent systems. Zbl 1369.93341Gu, Guoxiang; Marinovici, Laurentiu; Lewis, Frank L. 14 2012 Coordination of networked systems on digraphs with multiple leaders via pinning control. Zbl 1259.93003Chen, Gang; Lewis, Frank L. 6 2012 Distributed tracking control for networked mechanical systems. Zbl 1303.93010Chen, Gang; Lewis, Frank L. 4 2012 Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. Zbl 1368.93265Zhang, Hongwei; Lewis, Frank L.; Das, Abhijit 164 2011 Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities. Zbl 1227.93006Das, Abhijit; Lewis, Frank L. 59 2011 Finite-time distributed consensus via binary control protocols. Zbl 1226.93008Chen, Gang; Lewis, Frank L.; Xie, Lihua 55 2011 Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations. Zbl 1237.91015Vamvoudakis, Kyriakos G.; Lewis, Frank L. 42 2011 Synchronization of multi-agent systems with delayed control input information from neighbors. Zbl 1228.93010Liu, Shuai; Xie, Lihua; Lewis, Frank L. 22 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. 129 2010 Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Zbl 1191.49038Vamvoudakis, Kyriakos G.; Lewis, Frank L. 100 2010 ...and 102 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,521 Authors 105 Lewis, Frank Leroy 28 Liu, Derong 25 Zhang, Huaguang 24 Ge, Shuzhi Sam 23 Xu, Shengyuan 21 Lam, James 21 Shi, Peng 20 Duan, Zhisheng 20 Zhang, Qingling 18 Cao, Jinde 18 Jiang, Zhong-Ping 17 Wang, Ding 16 Li, Zhongkui 16 Vamvoudakis, Kyriakos G. 15 Karampetakis, Nicholas P. 15 Wei, Qinglai 15 Yang, Guanghong 14 Boukas, El-Kébir 14 Chen, Guanrong 14 Jia, Yingmin 14 Li, Junmin 14 Modares, Hamidreza 14 Xie, Lihua 13 Huang, Tingwen 12 Dong, XiWang 12 Duan, Guangren 12 Kulikov, Gennady Yur’evich 12 Qu, Zhihua 12 Tong, Shaocheng 12 Wang, Dan 12 Wen, Changyun 12 Wen, Guanghui 11 Ho, Daniel W. 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