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Zhaoyan Wu, Xiaoli Gong. IMPULSIVE SYNCHRONIZATION OF TIME-VARYING DYNAMICAL NETWORK[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 94-102. doi: 10.11948/2016008
Citation: Zhaoyan Wu, Xiaoli Gong. IMPULSIVE SYNCHRONIZATION OF TIME-VARYING DYNAMICAL NETWORK[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 94-102. doi: 10.11948/2016008
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IMPULSIVE SYNCHRONIZATION OF TIME-VARYING DYNAMICAL NETWORK

  • College of Mathematics and Information Science, Jiangxi Normal University, Ziyang Road, 330022 Nanchang, China

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    Abstract
  • Synchronization of time-varying dynamical network is investigated via impulsive control. Based on the Lyapunov function method and stability theory of impulsive differential equation, a synchronization criterion with respect to the system parameters and the impulsive gains and intervals is analytically derived. Further, an adaptive strategy is introduced for designing unified impulsive controllers, with a corresponding synchronization criterion derived. In this proposed adaptive control scheme, the impulsive instants adjust themselves to the needed values as time goes on, and an algorithm for determining the impulsive instants is provided and evaluated. The derived theoretical results are illustrated to be effective by several numerical examples.
    MSC: 34D20;34C28;93D21
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