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Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments

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  • Porfiri, Maurizio
  • Fiorilli, Francesca

Abstract

We study pulse synchronization of chaotic systems in master–slave configuration. The slave system is unidirectionally coupled to the master system through an intermittent linear error feedback coupling, whose gain matrix periodically switches among a finite set of constant matrices. Using Lyapunov-stability theory, fast-switching techniques, and the concept of matrix measure, we derive sufficient conditions for global synchronization. The derived conditions are specialized to the case of Chua’s circuits. An inductorless realization of coupled Chua’s circuits is developed to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Porfiri, Maurizio & Fiorilli, Francesca, 2009. "Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 245-262.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:245-262
    DOI: 10.1016/j.chaos.2007.11.033
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    2. Haeri, Mohammad & Khademian, Behzad, 2006. "Comparison between different synchronization methods of identical chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 1002-1022.
    3. Ge, Zheng-Ming & Chen, Yen-Sheng, 2007. "Synchronization of mutual coupled chaotic systems via partial stability theory," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 787-794.
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