Stability of linear switched differential algebraic equations with stable and unstable subsystems

被引：11

作者：

Mu, Xiaowu ^{[1
]}

Wei, Jumei ^{[1
]}

Ma, Rui ^{[2
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou, Peoples R China

[2] Zhengzhou Univ, Principals Off, Zhengzhou, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 10期

关键词：

linear switched DAEs; average dwell time; asymptotic stability; SYSTEMS; STABILIZATION;

D O I：

10.1080/00207721.2012.670299

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article studies linear switched differential algebraic equations (DAEs), which contains stable and unstable subsystems. We prove sufficient conditions for stability of switched DAEs based on the existence of suitable Lyapunov functions. The result shows that stability is preserved under switching with an average dwell time and an additional condition involving consistency projectors holds. Furthermore, we also give an example to illustrate the result.

引用

页码：1879 / 1884

页数：6

共 50 条

[21] On Detectability of Switched Linear Differential-Algebraic Equations [J].

Tanwani, Aneel ;

Trenn, Stephan .

2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, :2957-2962

[22] Stability Analysis for Linear Switched Time-Delay Systems with Unstable Subsystems [J].

Qu, Yuan-Chao ;

Liu, Yu-Zhong ;

Zhao, Xiao-Qi ;

Zhang, Li-Na .

2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, :2251-2255

[23] Exponential Stability of Switched Positive Linear Systems without Stable Subsystems [J].

Zhao, Hongfei ;

Li, Yang .

2017 4TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE), 2017, :984-988

[24] STABILITY AND ROBUST STABILITY OF LINEAR TIME-INVARIANT DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].

Nguyen Huu Du ;

Vu Hoang Linh ;

Mehrmann, Volker ;

Do Duc Thuan .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2013, 34 (04) :1631-1654

[25] Lie-Algebraic Criterion for Stability of Switched Differential-Algebraic Equations [J].

Raj, Phani ;

Pal, Debasattam .

IFAC PAPERSONLINE, 2020, 53 (02) :2004-2009

[26] Conditions for the Stability of Switched Systems Containing Unstable Subsystems [J].

Wang, Yue-E ;

Karimi, Hamid Reza ;

Wu, Di .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2019, 66 (04) :617-621

[27] New result on robust stability of switched systems with all subsystems unstable [J].

Xu, Xiaozeng ;

Mao, Xiang ;

Li, Yang ;

Zhang, Hongbin .

IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (13) :2138-2145

[28] Robust predictive control of perturbed switched linear systems with stable and unstable subsystems in the presence of uncertainties [J].

Dashtabadi, Zeinab ;

Koofigar, Hamid Reza .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2023, 237 (09) :1668-1677

[29] Stability of discrete-time positive switched linear systems with stable and marginally stable subsystems [J].

Zheng, Jianying ;

Dong, Jiu-Gang ;

Xie, Lihua .

AUTOMATICA, 2018, 91 :294-300

[30] Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems [J].

Zhai Dihua ;

Kang Yu ;

Zhao Ping ;

Meng Haofei .

PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, :243-248

← 1 2 3 4 5 →