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Second-order cluster consensus of multi-agent dynamical systems with impulsive effects
Institution:1. College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China;2. Key Laboratory of Image Information Processing and Intelligent Control, Huazhong University of Science and Technology, Ministry of Education, Wuhan 430074, PR China;3. Electronics and Information School, Yangtze University, Jingzhou 434023, PR China;4. Petroleum Engineering College, Yangtze University, Jingzhou 434023, PR China;1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;2. School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, Hubei 430068, China
Abstract:This paper discuss the cluster consensus of multi-agent dynamical systems (MADSs) with impulsive effects and coupling delays. Some sufficient conditions that guarantee cluster consensus in MADS are derived. In each cluster, agents update their position and velocity states according to a leader’s instantaneous information, and interactions among agents are uncertain. Furthermore, switching topology problem in MADS is considered by impulsive stability and adaptive strategy. Finally, numerical simulations are given to verify our theoretical analysis.
Keywords:Multi-agent dynamical systems  Cluster consensus  Impulsive effects  Switching topology  Complex networks
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