A new Lyapunov function for stability of time-varying nonlinear perturbed systems

被引：46

作者：

BenAbdallah, Abdallah

Dlala, Mohsen

Hammami, Mohamed Ali ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia

[2] Sfax Dept Math, IPEI, Sfax, Tunisia

来源：

SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 03期

关键词：

time-varying systems; perturbation; Lyapunov function; uniform asymptotic stability;

D O I：

10.1016/j.sysconle.2006.08.009

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, global and local uniform asymptotic stability of perturbed dynamical systems is studied by using Lyapunov techniques. The restriction about the perturbed term is that the perturbation is bounded by an integrable function under the assumption that the nominal system is globally uniformly asymptotically stable. We use a new Lyapunov function to obtain a global uniform asymptotical stability of some perturbed systems. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：179 / 187

页数：9

共 19 条

[1]

[Anonymous], 1977, APPL MATH SCI

[2]

[Anonymous], 1967, STABILITY MOTION

[3] A generalization of Zubov's method to perturbed systems [J].