Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters

Yonghui Sun and Jinde Cao

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 253-265

Abstract: This paper investigates adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters. Based on Lyapunov stability theory, the general expression of the suitable nonlinear adaptive synchronization controller is developed. At the same time, the noise-perturbed update laws of parameters are proposed to guarantee the synchronization of two different unknown chaotic systems. Theoretical analysis and numerical simulations on adaptive synchronization between Rössler system and noise-perturbed Chua's circuits, Lorenz system and noise-perturbed Chen system with fully unknown parameters show the efficiency of the proposed adaptive scheme.

Keywords: Adaptive synchronization; Mean square asymptotic stability; Noise perturbation; Unknown parameters; Update laws of parameters (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:253-265

DOI: 10.1016/j.physa.2006.10.039

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