具有参数失配和噪声干扰的耦合时滞系统中的同步。

Synchronization in coupled time-delayed systems with parameter mismatch and noise perturbation.

机构信息

School of Sciences, China University of Mining and Technology, Xuzhou 221008, People's Republic of China.

出版信息

Chaos. 2009 Dec;19(4):043113. doi: 10.1063/1.3262488.

PMID:20059209

Abstract

In this paper, a design of coupling and effective sufficient condition for stable complete synchronization and antisynchronization of a class of coupled time-delayed systems with parameter mismatch and noise perturbation are established. Based on the LaSalle-type invariance principle for stochastic differential equations, sufficient conditions guaranteeing complete synchronization and antisynchronization with constant time delay are developed. Also delay-dependent sufficient conditions for the case of time-varying delay are derived by using the Lyapunov approach for stochastic differential equations. Numerical examples fully support the analytical results.

摘要

本文针对一类存在参数失配和噪声干扰的耦合时滞系统，建立了稳定完全同步和反同步的耦合和有效充分条件。基于随机微分方程的 LaSalle 不变性原理，给出了具有常数时滞的完全同步和反同步的充分条件。此外，还利用随机微分方程的 Lyapunov 方法，推导出了时变时滞情况下的时滞相关充分条件。数值例子充分验证了分析结果。