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Output synchronization of chaotic systems under nonvanishing perturbations

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  • López-Mancilla, Didier
  • Cruz-Hernández, César

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.

Suggested Citation

  • López-Mancilla, Didier & Cruz-Hernández, César, 2008. "Output synchronization of chaotic systems under nonvanishing perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1172-1186.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:4:p:1172-1186
    DOI: 10.1016/j.chaos.2006.10.020
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    References listed on IDEAS

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    1. Lotrič, Maja Bračič & Stefanovska, Aneta, 2000. "Synchronization and modulation in the human cardiorespiratory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(3), pages 451-461.
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    Cited by:

    1. Jin, Maolin & Chang, Pyung Hun, 2009. "Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2672-2680.

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