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物理学报  2013 

Adaptive synchronization and parameter identification for Lorenz chaotic system with stochastic perturbations
随机扰动下Lorenz混沌系统的自适应同步与参数识别

Keywords: Lorenz chaotic system with stochastic perturbation,adaptive synchronization,stochastic Lyapunov stability theory,parameter identification
随机扰动Lorenz混沌系统
,自适应同步,随机李雅普洛夫稳定性理论,参数识别

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Abstract:

In this paper, Lorenz chaotic system with stochastic perturbation and unknown parameters is investigated, in which the stochastic perturbations is one-dimensional random process of the standard Wiener. Based on stochastic Lyapunov stability theory, It formula and adaptive control method combined with three adaptive control laws and two adaptive control laws respectively, two mean square Asymptotic adaptive synchronization standards are put forward theoretically. These new standards are in a simple form and easy to deal with. Moreover, with these standards, not only drive system with stochastic perturbations can be synchronized with the respond system, but also unknown parameters in the system can be identified. Finally, the Matlab numerical simulations confirm that the proposed results are correct and effective.

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