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

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

Bassem Ben HAMED; Mohamed Ali HAMMAMI

【期刊名称】《《控制理论与应用（英文版）》》 【年(卷),期】2009(007)002

【摘要】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.

【总页数】6页(175-180) 【关键词】

【作者】Bassem Ben HAMED; Mohamed Ali HAMMAMI

【作者单位】Institut Supérieur des Sciences Appliquées et de Technologie de Gabès Eépartement de Mathématiques Rue Amor Ben El Khatab 6029 Gabès Tunisia; Faculté des Sciences de Sfax Département de Mathémafiques BP 802 Route Soukra km 4 Sfax 3018