On the Robust Practical Global Stability of Nonlinear Time-varying Systems

被引：7
|
作者：
Ben Hamed, Bassem [1 ]
机构：
[1] Higher Inst Elect & Commun Sfax, Dept Math, Sfax 3038, Tunisia
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 03期
关键词：
Practical stability; converse theorem; Lyapunov function; robot manipulator; CONVERSE LYAPUNOV THEOREM; ASYMPTOTIC STABILITY; NONUNIFORM; CONVERGENCE; INPUT;
D O I：
10.1007/s00009-012-0227-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is twofold. The first part presents a Lyapunov statement and proof of the concept of robust global practical exponential stability (RpGES) for nonlinear time varying systems. A RpGES-Lyapunov function for the overall system is exhibited. Its proof is a consequence of some results on converse Lyapunov theorems obtained by Tsinias in 19. The second part provides sufficient conditions for the robust practical globally uniformly asymptotically stability (RpGUAS).
引用
收藏
页码：1591 / 1608
页数：18
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