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Intermittent pinning synchronization between two hyperbolic coupled networks with time-varying delays
Institution:1. Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150006, China;2. Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, China;1. School of Computer Science and School of Cyberspace Science Xiangtan University, Xiangtan, 411105, PR China;2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, PR China;3. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, PR China;1. College of Electrical Engineering, North China University of Science and Technology, Hebei, China;2. Key Lab of Intelligent Data Information Processing and Control of Hebei Province, Tangshan University, Hebei, China;3. school of Control and Computer Engineering, North China Electric Power University, Beijing, China
Abstract:This paper is devoted to synchronization between two hyperbolic coupled networks (HCNs) with time-varying delays via aperiodically intermittent pinning control (AIPC). Based on the Lyapunov function with a piecewise continuous function, sufficient criteria of HCNs with internal delays only and with hybrid delays are obtained, separately. And it is found that the convergence speed of synchronization of HCNs with hybrid delays is slower than that with internal delays only. Furthermore, two simulation results are presented to verify the theoretical results.
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