A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL-SYSTEMS

被引：287

作者：

WU, CW ^{[1
]}

CHUA, LO ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY, DEPT ELECT ENGN & COMP SCI, BERKELEY, CA 94720 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 04期

关键词：

D O I：

10.1142/S0218127494000691

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua's oscillator is robust.

引用

页码：979 / 998

页数：20

共 24 条

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