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		Bassem Ben HAMED,Mohamed Ali HAMMAMI.[en_title][J].Control Theory and Technology,2009,7(2):175~.[Copy]

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BassemBenHAMED,MohamedAliHAMMAMI
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Received:January 24, 2008Revised:November 21, 2008

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Practical stabilization of a class of uncertain time-varying nonlinear delay systems

Bassem Ben HAMED, Mohamed Ali HAMMAMI

(Institut Sup′erieur des Sciences Appliqu′ees et de Technologie de Gab`es, D′epartement de Math′ematiques, Rue Amor Ben El Khatab 6029 Gab`es, Tunisia; Facult′e des Sciences de Sfax, D′epartement de Math′ematiques BP 802 Route Soukra km 4 Sfax 3018, Tunisia)

Abstract:

In this paper we deal with a class of uncertain time-varying nonlinear systems with a state delay. Under some assumptions, we construct some stabilizing continuous feedback, i.e. linear and nonlinear in the state, which can guarantee global uniform exponential stability and global uniform practical convergence of the considered system. The quadratic Lyapunov function for the nominal stable system is used as a Lyapunov candidate function for the global system. The results developed in this note are applicable to a class of dynamical systems with uncertain time-delay. Our result is illustrated by a numerical example.

Key words: Nonlinear system Time-delay Feedbacks Practical convergence Lyapunov function