Output synchronization of chaotic systems under nonvanishing perturbations

Didier López-Mancilla and César Cruz-Hernández

Chaos, Solitons & Fractals, 2008, vol. 37, issue 4, 1172-1186

Abstract: In this paper, an analysis for chaos synchronization under nonvanishing perturbations is presented. In particular, we use model-matching approach from nonlinear control theory for output synchronization of identical and nonidentical chaotic systems under nonvanishing perturbations in a master–slave configuration. We show that the proposed approach is indeed suitable to synchronize a class of perturbed slaves with a chaotic master system; that is the synchronization error trajectories remain bounded if the perturbations satisfy some conditions. In order to illustrate this robustness synchronization property, we present two cases of study: (i) for identical systems, a pair of coupled Rössler systems, the first like a master and the other like a perturbed slave, and (ii) for nonidentical systems, a Chua’s circuit driving a Rössler/slave system with a perturbed control law, in both cases a quantitative analysis on the perturbation is included.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:4:p:1172-1186

DOI: 10.1016/j.chaos.2006.10.020

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