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Zbl 1252.93072
Zhao, Jiakun
Adaptive Q-S synchronization between coupled chaotic systems with stochastic perturbation and delay. (English)
[J] Appl. Math. Modelling 36, No. 7, 3312-3319 (2012). ISSN 0307-904X

Summary: We investigate the adaptive Q-S synchronization of coupled chaotic (or hyper-chaotic) systems with stochastic perturbation, delay and unknown parameters. The sufficient conditions for achieving Q-S synchronization of two stochastic chaotic systems are derived based on the invariance principle of stochastic differential equation. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the stochastic Q-S synchronization of non-identical chaotic (or hyper-chaotic) systems is to be obtained. Finally, two illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme.

MSC 2000:: *93C40 Adaptive control systems
34H10
34K50 Stochastic delay equations
60H10 Stochastic ordinary differential equations

Keywords: Q-S synchronization; adaptive control; hyper-chaotic system; unknown parameters; invariance principle; stochastic differential equation

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