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Synchronization of complex networks with hybrid delays based on event intermittent control
Institution:1. School of Aerospace Science and Technology, Xidian University, Xi’an 710071, PR China;2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, PR China;1. School of Big Data & University Engineering Research Center, Fuzhou University of International Studies and Trade, Fuzhou 350202, P.R. China;2. School of Computer Science and Mathematics, Fujian University of Technology, Fuzhou 350118, P.R. China;1. School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China;2. Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China;3. School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, China;1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin 130024, PR China;2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah 121589, Saudi Arabia;3. College of Science, China University of Petroleum, Qingdao, Shandong 266580, PR China;1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China;2. College of Science, China Three Gorges University, Yichang 443002, China;3. Centre of New Energy Systems, Department of Electrical, Electronics and Computer Engineering, University of Pretoria, Pretoria, South Africa
Abstract:This paper studies the exponential synchronization problem for complex networks with hybrid delays via means of the event intermittent control (EIC) strategy. Compared with the traditional aperiodically intermittent control, the control instants and the rest instants are generated when the events occur, which is more in accordance with the actual situation. An modified lemma related to delays is derived without predesigning intermittent instants. Furthermore, some synchronization criteria with less conservatism are established in terms of linear matrix inequalities (LMIs). Meanwhile, it is also shown that Zeno behavior is excluded. Finally, simulations of a numerical example are given to verify the effectiveness of the proposed EIC strategy.
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