Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems

被引：18

作者：

Daafouz, J

Millerioux, G

机构：

[1] ENSEM, CRAN, F-54516 Vandoeuvre Les Nancy, France

[2] ESSTIN, CRAN, F-54500 Vandoeuvre Les Nancy, France

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2002年 / 58卷 / 4-6期

关键词：

global chaos synchronization; poly-quadratic stability; parameter-dependent Lyapunov function; hybrid observers;

D O I：

10.1016/S0378-4754(01)00374-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper considers global chaos synchronization as an observer design problem. Chaos generators are ascribed the form of piecewise linear maps, a particular class of discrete time hybrid systems., Sufficient conditions of global synchronization are formulated using a poly-quadratic stability concept. Such a concept is based on the use of parameter-dependent Lyapunov functions to check stability and leads to a reduction of the restricitions relative to conditions involving a unique Lyapunov function. (C) 2002 IMACS. Published by Elsevier Science B.V All rights reserved.

引用

页码：295 / 307

页数：13

共 12 条

[1] On strict positive real systems design: guaranteed cost and robustness issues [J].