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Impulsive generalized synchronization for a class of nonlinear discrete chaotic systems
Institution:1. College of Automation, Harbin Engineering University, Heilongjiang 150001, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, SA 5005, Australia;3. Department of Mechanical Engineering, Washington University in St Louis Campus, Box 1185, MO 63130, USA;1. Department of Mathematics, Shaoxing University, Shaoxing, China;2. Department of Physics, Lanzhou University of Technology, Lanzhou, China;3. Jiangxi Expressway networking management center, Nanchang, China
Abstract:The problem of impulsive generalized synchronization for a class of nonlinear discrete chaotic systems is investigated in this paper. Firstly the response system is constructed based on the impulsive control theory. Then by the asymptotic stability criteria of discrete systems with impulsive effects, some sufficient conditions for asymptotic H-synchronization between the drive system and response system are obtained. Numerical simulations are given to show the effectiveness of the proposed method.
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