On the stability of a class of nonlinear differential time-delay control systems in Banach spaces

被引：0

作者：

Phat, VN ^{[1
]}

机构：

[1] Univ New S Wales, Sch Elect Engn & Telecommun, Sydney, NSW 2052, Australia

来源：

CONTEMPORARY DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年

关键词：

stabilizability; time-delay; output feedback; Banach space; Lyapunov equation; nonlinear systems; Gronwall inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies a stabilizability problem for a class of nonlinear time-delay control systems by means of linear feedback controls. The system is allowed to be infinite-dimensional with multiple delays on the controls and states in nonlinear perturbations. Sufficient conditions for the stabilizability of the system are established via the stability of linear underlying system. The obtained results are based on extensions of the Lyapunov theorem to the time-varying case in a Banach space and the Gronwall inequality

引用

页码：35 / 48

页数：14

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