Abstract
This paper is concerned with the issue of consensus for leader-following multi-agent systems, wherein the agents acting as followers update states based on the information received from the time-varying neighbors and the virtual leader. Moreover, the neighbors of an agent are divided into three types according to their relative position, which may also be changed with time. Consensus protocol is derived mainly by using intermittent control, and based on the Lyapunov stability theory, sufficient conditions for consensus are presented and proved theoretically. Finally, some numerical examples are given to demonstrate the effectiveness of the results.
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Aihua Hu received her B.S. degree in Information and Computing Science from the Jiangnan University, Wuxi, China, in 2003, and her M.S. and Ph.D. degrees in Control Theory and Engineering from the Jiangnan University, Wuxi, China, in 2006 and 2010, respectively. From June 2012 to now, she has been a postdoctoral Research Fellow at the School of Automation, Southeast University, Nanjing, China. Currently, she is an associate professor and graduate student advisor at the Jiangnan University. She is the author or coauthor of about 20 journal papers. Her research interests include nonlinear systems, stochastic systems and complex networks.
Jinde Cao received his B.S. degree from Anhui Normal University, Wuhu, China, an M. S. degree from Yunnan University, Kunming, China, and a Ph.D. degree from Sichuan University, Chengdu, China, all in Applied Mathematics, in 1986, 1989, and 1998, respectively. From March 1989 to May 2000, he joined the Department of Mathematics, Southeast University, Nanjing, China. From July 2001 to June 2002, he was a postdoctoral Research Fellow at the Department of Automation and Computer-Aided Engineering, Chinese University of Hong Kong, Hong Kong. In the period from 2006 to 2008, he was a visiting Research Fellow and a visiting professor at the School of Information System, Computing and Mathematics, Brunel University, UK. Currently, he is a Distinguished Professor and Doctoral Advisor at the Southeast University and also Distinguished Adjunct Professor at the King Abdulaziz University, prior to which he was a professor at Yunnan University from 1996 to 2000. He is the author or coauthor of 400 Journal papers and five edited books. His research interests include nonlinear systems, neural networks, complex systems, complex networks, stability theory, and applied mathematics. Dr. Cao was an Associate Editor of the IEEE Trans. on Neural Networks, Journal of the Franklin Institute and Neurocomputing. He is an Associate Editor of the IEEE Trans. on Cybernetics, Neural Networks, Differential Equations and Dynamical Systems, and Mathematics and Computers in Simulation.
Manfeng Hu received his B.S. and M.S. degrees from Xuzhou Normal University, Xuzhou, China, and his Ph.D. degree from Jiangnan University, Wuxi, China, in 1998, 2001, and 2008, respectively. He was a Visiting Scholar at the Department of Mathematics, Michigan State University, USA from June 2008 to June 2009. From April 2011 to July 2013, he was a Postdoctoral Research Fellow at the School of Automation, Southeast University, Nanjing, China. Since July 2008, he has been an associate professor at Jiangnan University. His current research interests include nonlinear dynamics, dynamics of complex networks and system biology.
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Hu, A., Cao, J. & Hu, M. Consensus of leader-following multi-agent systems in time-varying networks via intermittent control. Int. J. Control Autom. Syst. 12, 969–976 (2014). https://doi.org/10.1007/s12555-013-0223-5
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DOI: https://doi.org/10.1007/s12555-013-0223-5