On the Robust Practical Global Stability of Nonlinear Time-varying Systems |
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| Authors: | Bassem Ben Hamed |
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| Institution: | 1. Department of Mathematics, Higher Institute of Electronics and Communication of Sfax, Street Menzel Chaker km 0.5, B.P. 261, 3038, Sfax, Tunisia
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| Abstract: | 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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