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Exponential synchronization of multilayer networks with white-noise-based coupling via intermittent periodic event-triggered control
Institution: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. School of Automation, Southeast University, Nanjing 210096, PR China;2. School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, PR China;3. School of Astronautics, Beihang University, Beijing 100191, PR China;1. Smart Mobility Research Section, Electronics and Telecommunications Research Institute (ETRI), Daegu 42994, South Korea;2. Department of Electronics Engineering, Chungnam National University, Daejeon 34134, South Korea;1. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;2. Department of College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract:In this paper, the mean-square exponential synchronization of stochastic multilayer networks with white-noise-based time-varying coupling is investigated via intermittent dynamic periodic event-triggered control. The existence of a dynamic term can reduce the number of event triggers. Furthermore, by introducing periodic sampling mechanism, a minimum inter-execution time is guaranteed to avoid Zeno phenomenon. Additionally, by employing Lyapunov method, graph theory, and stochastic analysis techniques, synchronization criteria for multilayer networks under intermittent dynamic periodic event-triggered control are established. To clarify the process of synchronization of multilayer networks, a brief framework is developed on the basis of Tajan’s algorithm. Ultimately, theoretical results are applied into Chua’s circuits and corresponding numerical simulations are given to illustrate the effectiveness and feasibility of the results.
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