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Volume 6, Number 1, 2016, Pages 94-102                                                                DOI:10.11948/2016008
Impulsive synchronization of time-varying dynamical network
Zhaoyan Wu,Xiaoli Gong
Keywords:Synchronization  time-varying network  impulsive control  adaptive strategy.
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.
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