Robust stability and robust stabilizability for periodically switched linear systems

被引：5

作者：

Do Duc Thuan ^{[1
]}

Le Van Ngoc ^{[2
,3
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet St, Hanoi, Vietnam

[2] Posts & Telecommun Inst Technol, Lab Appl Math & Comp, Km 10 Nguyen Trai St, Hanoi, Vietnam

[3] VNU Univ Sci, Fac Math Mech & Informat, 334 Nguyen Trai Str, Hanoi, Vietnam

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 361卷

关键词：

Periodically switched linear systems; Exponential stability; Structured perturbations; Robust stability; Robust stabilizability; Stability radius; MARKOVIAN JUMP SYSTEMS; EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONS; EQUATIONS; SUBJECT; FORMULA; RADIUS;

D O I：

10.1016/j.amc.2019.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of robust stability and robust stabilizability for periodically switched linear systems is studied. The stability radius involving structured perturbations acting on both coefficient matrices and switching moments is introduced and investigated. Some lower bounds for stability radii of periodically switched linear systems are provided. After that, we derive the notion of fast and slow stabilizability for these systems. Some characterizations for robust stabilizability under structured perturbations are established. Several examples are given to illustrate the obtained results. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：112 / 130

页数：19

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