Abstract
In this paper, containment control problem in directed networks for second-order multi-agent systems with inherent nonlinear dynamics and time-delays are investigated. A distributed control protocol is proposed for each follower using the relative states among neighboring agents. Based on Lyapunov-Razumikhin theorem, some sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that all followers asymptotically converge to the convex hull spanned by the dynamic leaders. Finally, simulation results are presented to illustrate the effectiveness of the conclusion.
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Recommended by Associate Editor Hyo-Sung Ahn under the direction of Editor Ju Hyun Park. This work is supported by the National Natural Science Foundation of China (Nos. 61573199, 61573200), Natural Science Foundation of Tianjin (Nos. 14JCYBJC18700, 13JCYBJC17400).
Bo Li received the B.S. degree in computer application, M.S. degree in computer system structure from the Shandong University, Jinan, China, in 1994 and 2006, respectively. Since 2013, he has been working towards his Ph.D. degree in Control Theory and Control Engineering at Nankai University, Tianjin, China. His main areas of research are in containment control of multi-agents system.
Zeng-Qiang Chen received the B.S. degree in mathematics, M.S. and Ph.D. degrees in control theory and control engineering from the Nankai University, Tianjin, China, in 1987, 1990, and 1997, respectively. He has been at Nankai University, where he is currently a professor in the Department of Automation. His main areas of research are in neural network control, complex networks and multi-agents system.
Chun-Yan Zhang received the B.S. degree in Automation from Heibei University in 2004, recived the M.S. degree in control theory and control engineering from Nankai University in 2007, received the Ph.D. degrees in complex system control in Beijing University in 2013. From January, 2013 to June 2014, she has been a post-doctoral in Department of mathematics and nature Sciences of University of Groningen, Holland. Since September of 2014, she has been at Nankai University, where she is currently an associate professor in the Department of Automation. Her main areas of research are complex networks, Evolution dynamics and game dynamics of population system.
Zhong-Xin Liu received the B.S. degree in Automation and Ph.D. degrees in control theory and control engineering from the Nankai University, Tianjin, China, in 1997 and 2002, respectively. He has been at Nankai University, where he is currently a professor in the Department of Automation. His main areas of research are in predictive control, complex networks and multi-agents system.
Qing Zhang received his B.S. degree in mathematics from Nankai University in 1987, and M.S. Degree from Nankai University in 2005. He is currently a professor in College of Science, Civil Aviation University of China. Her main areas of research are in Chaotic system, complex networks and multi-agents system.
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Li, B., Chen, ZQ., Zhang, CY. et al. Containment control for directed networks multi-agent system with nonlinear dynamics and communication time-delays. Int. J. Control Autom. Syst. 15, 1181–1188 (2017). https://doi.org/10.1007/s12555-016-0121-8
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DOI: https://doi.org/10.1007/s12555-016-0121-8