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A separation principle of time‐varying dynamical systems: A practical stability approach

    Ines Ellouze Affiliation

Abstract

In this paper we treat the problem of practical feedback stabilization for a class of nonlinear time‐varying systems by means of an observer. A separation principle is given under a restriction about the perturbed term that the perturbation is bounded by an integrable function where the nominal system is supposed to be globally asymptotically stabilizable by a linear feedback. A practical stability approach is obtained. Furthermore, we give an example to show the applicability of our result.


First Published Online: 14 Oct 2010

Keyword : time‐varying systems, feedback, Lyapunov function, practical stabilization, state detection

How to Cite
Ellouze, I. (2007). A separation principle of time‐varying dynamical systems: A practical stability approach. Mathematical Modelling and Analysis, 12(3), 297-308. https://doi.org/10.3846/1392-6292.2007.12.297-308
Published in Issue
Sep 30, 2007
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