ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY

被引：0
|
作者：
Letyagina, Olga N. [1 ]
Zhabko, Alexey P. [1 ]
机构：
[1] St Petersburg State Univ, Fac Appl Math & Control Proc, St Petersburg 198504, Russia
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 05期
关键词：
Time delay systems; systems with periodic coefficients; Lyapunov-Krasovskii approach; Lyapunov matrices; robust stability;
D O I：
10.1142/S0217751X09044371
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In this paper, a procedure for construction of quadratic Lyapunov-Krasovskii functionals for linear time delay systems with periodic coefficients is proposed. Functionals are used to derive robust stability conditions. The problem of computation of Lyapunov matrices for functionals is reduced to computation of solutions of an auxiliary two-point boundary problem for a special delay free system of matrix equation.
引用
收藏
页码：893 / 907
页数：15
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