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

被引：15

作者：

Hamed B.B. ^{[1
]}

Hammami M.A. ^{[2
]}

机构：

[1] Département de Mathématiques, Institut Supérieur des Sciences Appliquées et de Technologie de Gabès, Gabès 6029, Rue Amor Ben El Khatab

[2] Département de Mathématiques, Faculté des Sciences de Sfax, Sfax 3018

来源：

Journal of Control Theory and Applications | 2009年 / 7卷 / 2期

关键词：

Feedbacks; Lyapunov function; Nonlinear system; Practical convergence; Time-delay;

D O I：

10.1007/s11768-009-8017-2

中图分类号：

学科分类号：

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. © 2009 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.

引用

页码：175 / 180

页数：5

共 17 条

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