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 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 205-221 |
Journal / Publication | Applied Mathematics and Computation |
Volume | 309 |
Online published | 20 Apr 2017 |
Publication status | Published - 15 Sept 2017 |
Link(s)
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 et al.
In: Applied Mathematics and Computation, Vol. 309, 15.09.2017, p. 205-221.
In: Applied Mathematics and Computation, Vol. 309, 15.09.2017, p. 205-221.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review