Stability analysis of piecewise non-linear systems and its application to chaotic synchronisation with intermittent control

被引：1

作者：

Wang, Qingzhi ^{[1
]}

Tan, Guanzheng ^{[1
]}

He, Yong ^{[2
,3
]}

Wu, Min ^{[2
,3
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R China

[2] China Univ Geosci, Sch Automat, Wuhan, Hubei, Peoples R China

[3] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan, Hubei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Stability; chaotic systems; intermittent synchronisation; piecewise Lyapunov functions; TIME-VARYING DELAYS; NEURAL-NETWORKS; EXPONENTIAL STABILIZATION; DYNAMICAL NETWORKS; LINEAR-SYSTEMS; FEEDBACK;

D O I：

10.1080/00207721.2017.1367050

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers a stability analysis issue of piecewise non-linear systems and applies it to intermittent synchronisation of chaotic systems. First, based on piecewise Lyapunov function methods, more general and less conservative stability criteria of piecewise non-linear systems in periodic and aperiodic cases are presented, respectively. Next, intermittent synchronisation conditions of chaotic systems are derived which extend existing results. Finally, Chua's circuit is taken as an example to verify the validity of our methods.

引用

页码：3032 / 3043

页数：12

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