Constructive proof of Lagrange stability and sufficient – Necessary conditions of Lyapunov stability for Yang–Chen chaotic system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)205-221
Journal / PublicationApplied Mathematics and Computation
Volume309
Online published20 Apr 2017
Publication statusPublished - 15 Sep 2017

Abstract

This paper studies the stability problem of Yang–Chen system. By introducing different radial unbounded Lyapunov functions in different regions, global exponential attractive set of Yang–Chen chaotic system is constructed with geometrical and algebraic methods. Then, simple algebraic sufficient and necessary conditions of global exponential stability, global asymptotic stability, and exponential instability of equilibrium are proposed. And the relevant expression of corresponding parameters for local exponential stability, local asymptotic stability, exponential instability of equilibria are obtained. Furthermore, the branch problem of the system is discussed, some branch expressions are given for the parameters of the system.

Research Area(s)

  • Branch, Global exponential attractive set, Lagrange stability, Lyapunov stability, Yang–Chen system

Citation Format(s)

Constructive proof of Lagrange stability and sufficient – Necessary conditions of Lyapunov stability for Yang–Chen chaotic system. / Liao, Xiaoxin; Zhou, Guopeng; Yang, Qigui; Fu, Yuli; Chen, Guanrong.

In: Applied Mathematics and Computation, Vol. 309, 15.09.2017, p. 205-221.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review