Generalized Lyapunov method for discontinuous systems

被引：38

作者：

Guo, Zhenyuan ^{[1
]}

Huang, Lihong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

基金：

中国国家自然科学基金;

关键词：

Filippov solution; Stability; Convergence; Convergence in finite time; Discontinuous system; ASYMPTOTIC STABILITY; NEURAL-NETWORKS; CONVERGENCE;

D O I：

10.1016/j.na.2009.01.220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear dynamical systems described by differential equations with discontinuous right-hand side and solutions intended in Filippov sense are considered. Based on Filippov differential inclusion and a new chain rule for differentiating regular functions along Filippov solution trajectories, different kinds of stability and convergence results are presented. Moreover, we investigate the stability and convergence for the corresponding perturbation system of the discontinuous system and some new criteria are addressed. (C) 2009 Published by Elsevier Ltd

引用

页码：3083 / 3092

页数：10

共 25 条

[1] ASYMPTOTIC STABILITY OF NONAUTONOMOUS SYSTEMS BY LIAPUNOVS DIRECT METHOD [J].