A SYNCHRONIZATION CONDITION FOR COUPLED NONLINEAR SYSTEMS WITH TIME-DELAY: A FREQUENCY DOMAIN APPROACH

被引：9

作者：

Oguchi, Toshiki ^{[1
]}

Nijmeijer, Henk ^{[2
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Mech Engn, Hachioji, Tokyo 1920397, Japan

[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 09期

基金：

日本学术振兴会;

关键词：

Chaos synchronization; time-delay; absolute stability; circle criterion; COMPLEX DYNAMICAL NETWORKS; LURE SYSTEMS; CRITERIA; STABILITY;

D O I：

10.1142/S0218127411029902

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers the synchronization problem for nonlinear systems with time-delay couplings. We assume that the error dynamics can be rewritten as a feedback connection of a linear delay system with multiple inputs and outputs and nonlinear elements which are decentralized and satisfy a sector condition. Then, we derive a synchronization condition for time-delay coupled systems by applying the multivariable circle criterion. Unlike the conventional synchronization criteria, the derived criterion is based on a frequency-domain stability condition and avoids the use of the Lyapunov-Krasovskii approach. As a result, the condition based on the circle criterion does not contain the conservativeness caused by the Lyapunov-Krasovskii approach. The effectiveness of the proposed criterion is shown by examples of coupled Chua systems with delay coupling.

引用

页码：2525 / 2538

页数：14

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