LINEAR UNCERTAIN NON-AUTONOMOUS TIME-DELAY SYSTEMS: STABILITY AND STABILIZABILITY VIA RICCATI EQUATIONS

被引：0

作者：

Niamsup, Piyapong ^{[1
]}

Mukdasai, Kanit ^{[1
]}

Phat, Vu N. ^{[2
]}

机构：

[1] Chiang Mai Univ, Dept Math, Chiangmai 50200, Thailand

[2] Inst Math, Hanoi 10000, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Non-autonomous systems; time-delay systems; uncertainties; exponential stability; stabilization; Lyapunov function; Riccati equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the problem of exponential stability for a class of uncertain linear non-autonomous time-delay systems. Here, the parameter uncertainties are time-varying and unknown but norm-bounded and the delays are time-varying. Based on combination of the Riccati equation approach and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust stability are obtained in terms of the solution of Riccati-type equations. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. As an application, sufficient conditions for the robust stabilization are derived. Numerical examples illustrated the results are given.

引用

页数：10

共 21 条

[1]

Aboul-Enein H. Y, 2003, SYS CON FDN

[2]

[Anonymous], 1992, STABILITY TIME OPTIM

[3]

Boyd S, 1994, STUDIES APPL MATH

[4] Stability for time varying linear dynamic systems on time scales [J].