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Practical stabilization of a class of uncertain time-varying nonlinear delay systems
Received:January 24,2008  Revised:November 21,2008
Keywords:Nonlinear system  Time-delay  Feedbacks  Practical convergence  Lyapunov function
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Bassem Ben HAMED, Mohamed Ali HAMMAMI Institut Superieur des Sciences Appliquees et de Technologie de Gab`es, Departement de Mathematiques, Rue Amor Ben El Khatab 6029 Gab`es, Tunisia; Faculte des Sciences de Sfax, Departement de Mathematiques BP 802 Route Soukra km 4 Sfax 3018, Tunisia 
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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.
Bassem Ben HAMED, Mohamed Ali HAMMAMI.Practical stabilization of a class of uncertain time-varying nonlinear delay systems[J].Journal of Control Theory and Applications,2009,7(2):175~.
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