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Zbl 1203.93125
Yang, Xinsong; Zhu, Quanxin; Huang, Chuangxia
Generalized lag-synchronization of chaotic mix-delayed systems with uncertain parameters and unknown perturbations. (English)
[J] Nonlinear Anal., Real World Appl. 12, No. 1, 93-105 (2011). ISSN 1468-1218

Summary: Chaotic systems in practice are always influenced by some unknown factors, which may make the chaotic behavior completely different from that of unaffected system. In this paper, the generalized lag-synchronization for a general class of coupled chaotic systems with mixed delays, uncertain parameters, as well as external perturbations is investigated. A simple but all-powerful robust adaptive controller is designed to achieve this goal. Based on Lyapunov stability theory, integral inequality and Barbalat's lemma, rigorous proofs are given for the asymptotic stability of the error systems of the coupled systems with or without external perturbations. Sufficient conditions for inaccuracy or accuracy estimation of unknown parameters are also given. Moreover, the designed adaptive controller has better anti-interference capacity than those of references. Numerical simulations verify the effectiveness of the theoretical results.

MSC 2000:: *93C73 Perturbations in control systems
93E10 Estimation and detection in stochastic control
62H10 Multivariate distributions of statistics
34H10

Keywords: generalized lag-synchronization; mixed delays; nonlinear perturbations; parameter estimation

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