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Zbl 1221.93171
Zhang, Liping; Jiang, Haibo
Impulsive generalized synchronization for a class of nonlinear discrete chaotic systems. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 2027-2032 (2011). ISSN 1007-5704

Summary: 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.

MSC 2000:: *93C55 Discrete-time control systems
37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control
39A28
93D15 Stabilization of systems by feedback

Keywords: chaotic systems; discrete chaotic system; synchronization; impulsive generalized synchronization

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