Pinning synchronization of delayed complex networks under self-triggered control |
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| Authors: | Xiaotao Zhou Lulu Li Xiao-Wen Zhao |
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| Institution: | 1. Department of Mathematics, M.M.E.S Women’s Arts and Science College, Melvisharam, Vellore, Tamilnadu,India;2. Department of Mathematics, Thiruvalluvar University, Serkkadu, Vellore, Tamilnadu, India;3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;1. School of Science, Wuhan University of Technology, Wuhan 430070, China;2. Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada;3. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, China |
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| Abstract: | In this paper, the pinning synchronization of delayed complex networks (DCNs) is investigated under self-triggered control (STC). The framework of synchronization analysis of DCNs under STC is established. Specifically, a new dynamic event-triggered scheme (DETS) is proposed for the DCNs firstly. The scheme concerns internal dynamic variables, which plays a crucial role in ensuring the exclusion of Zeno behavior. Secondly, to avoid continuous monitoring triggering condition, an effective self-triggered scheme (STS) is proposed. Different from the previous works, based on the extended Grönwall inequality, the lower bound for the inter-event time of the STS is estimated explicitly. A numerical example is provided to demonstrate the effectiveness of the theoretical results. |
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