Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel

被引：9
|
作者：
Aliseyko, A. N. [1 ]
机构：
[1] St Petersburg State Univ, Dept Control Theory, St Petersburg, Russia
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2019年 / 92卷 / 06期
关键词：
Lyapunov matrix; time-delay system; Lyapunov-Krasovskii functional;
D O I：
10.1080/00207179.2017.1390261
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this contribution, we study time-delay systems with distributed delay whose kernel is piecewise constant. It is shown that the problem of finding a Lyapunov matrix for this class of time-delay systems can be reduced to the computation of solutions to an auxiliary system of linear differential equations with boundary conditions. The problem of solving the auxiliary system is then reduced to the solution of a system of linear algebraic equations. It is established that the auxiliary system with boundary conditions admits a unique solution if and only if there exists a unique Lyapunov matrix.
引用
收藏
页码：1298 / 1305
页数：8
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