Parameter dependent Lyapunov functions for robust stability of time-varying linear systems under point delays

被引：10
|
作者：
de la Sen, M. [1 ]
机构：
[1] Univ Basque Country, Fac Ciencias, Dept Elect & Elect, E-48080 Bilbao, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 02期
关键词：
affine systems; time-delay systems; stability;
D O I：
10.1016/j.amc.2005.12.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the stabilization dependent on the delays of, in general, time-varying linear systems with multiple constant point time-delays. The matrices describing the state-space dynamics are parameterized by, in general, timevarying function matrices governed by coefficient functions in compact sets. The closed-loop sufficiency-type stability conditions are obtained from Lyapunov's stability theory by constructing parameter-dependent candidates which satisfy, in the most general case, a Riccati matrix differential inequality. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：612 / 621
页数：10
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