Impulsive synchronization of Lipschitz chaotic systems

Yen-Sheng Chen and Chien-Cheng Chang

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1221-1228

Abstract: Impulsive method is suitable for digital implementation of secure communication based on chaos synchronization. In the present study, it is assumed that the system satisfies the local Lipschitz condition where a Lipschitz constant is estimated a priori. An impulsive controller is shown to achieve synchronization of chaotic systems in the sense of exponential stability under one restriction relation (criterion). The Duffing two-well and the Rössler systems were simulated to illustrate the theoretical analysis.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1221-1228

DOI: 10.1016/j.chaos.2007.08.084

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