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

被引:0
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作者
Bassem Ben Hamed
机构
[1] Higher Institute of Electronics and Communication of Sfax,Department of Mathematics
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关键词
Practical stability; converse theorem; Lyapunov function; robotmanipulator; Primary 93D09; Secondary 93D30; 37B55; 34D23;
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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).
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页码:1591 / 1608
页数:17
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