Stability analysis for switched discrete-time linear singular systems

被引：31

作者：

Pham Ky Anh ^{[1
]}

Pham Thi Linh ^{[1
]}

Do Duc Thuan ^{[2
]}

Trenn, Stephan ^{[3
]}

机构：

[1] Vietnam Natl Univ, Fac Math Mech & Informat, 334 Nguyen Trai, Hanoi, Vietnam

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

[3] Univ Groningen, Bernoulli Inst, Nijenborgh 9, NL-9747 AG Groningen, Netherlands

来源：

AUTOMATICA | 2020年 / 119卷

关键词：

Switched singular systems; Index-1; Exponential stability; Joint spectral radius; Lyapunov functions; DESCRIPTOR SYSTEMS; EQUATIONS;

D O I：

10.1016/j.automatica.2020.109100

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability of arbitrarily switched discrete-time linear singular (SDLS) systems is studied. Our analysis builds on the recently introduced one-step-map for SDLS systems of index-1. We first provide a sufficient stability condition in terms of Lyapunov functions. Furthermore, we generalize the notion of joint spectral radius of a finite set of matrix pairs, which allows us to fully characterize exponential stability. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：9

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