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Leader-following consensus of semi-Markov jump nonlinear multi-agent systems under hybrid cyber-attacks
Institution:1. LAJ Laboratory, University of Jijel, Algeria;2. Université Paris-Saclay, Univ Evry, IBISC, Evry 91020, France;1. School of Information Science and Technology, Linyi University, Linyi, PR China;2. Shandong Cloud Imagination Technology Co., Ltd., Yantai 264006, PR China;3. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China;4. Texas A & M University at Qatar, Doha 5825, Qatar;1. College of information and control engineering, Xi’an University of Architecture and Technology, Xi’an, 710311, China;2. School of Automation, Chongqing University, Chongqing, 400044, China;1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;2. Department of Mechanical Engineering, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;1. Guangdong University of Technology, Guangzhou, Guangdong 510006, China;2. University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan, Guangdong 528402, China;3. Guangdong Basic and Applied Basic Research Foundation, Guangzhou, Guangdong 510033, China;1. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, PR China;2. School of Control Science and Engineering, Shandong University, Jinan 250061, PR China
Abstract:In this paper, the leader-following consensus issue is investigated for a class of nonlinear multi-agent systems with semi-Markov parameters subject to hybrid cyber-attacks. A semi-Markov chain is adopted to describe the variation of switching topologies caused by the complexity of the environment and makes the studied problem more general. Hybrid cyber-attacks consisting of denial-of-service attacks and deception attacks are described with the help of two groups of Bernoulli sequences which are assumed to be independent of each other. On this basis, a sufficient condition for the stability of the consensus error system is established by using linear matrix inequality techniques. Finally, the validity of the results obtained is verified by two numerical examples.
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