Stability of discrete-time positive switched linear systems with stable and marginally stable subsystems

被引：42

作者：

Zheng, Jianying ^{[1
]}

Dong, Jiu-Gang ^{[2
]}

Xie, Lihua ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

AUTOMATICA | 2018年 / 91卷

基金：

中国国家自然科学基金;

关键词：

Switched systems; Positive systems; Exponential stability; STABILIZABILITY; STABILIZATION;

D O I：

10.1016/j.automatica.2018.01.032

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 paper we investigate the stability of discrete-time positive switched linear systems. The highlight of this work is that each subsystem is only assumed to be stable or marginally stable. Some sufficient conditions, imposed on the subsystem matrices and switching signals, are established to guarantee exponential stability of the considered positive switched linear systems. An extension to the case of time-varying and unbounded delay is also given. Compared with the continuous-time counterparts in the literature, our discrete-time case is much more complicated, involving the transitive connectivity between the subsystems specified by the switching signals. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：294 / 300

页数：7

共 19 条

[1] Solvability of static output-feedback stabilization for LTI positive systems [J].

Ait Rami, Mustapha .

SYSTEMS & CONTROL LETTERS, 2011, 60 (09) :704-708

[2]

[Anonymous], 1979, Introduction to dynamic systems: theory, models, and applica-tions

[3] Switched Positive Linear Systems [J].

Blanchini, Franco ;

Colaneri, Patrizio ;

Valcher, Maria Elena .

FOUNDATIONS AND TRENDS IN SYSTEMS AND CONTROL, 2015, 2 (02) :101-273

[4] Stabilization of positive linear systems [J].

De Leenheer, P ;

Aeyels, D .

SYSTEMS & CONTROL LETTERS, 2001, 44 (04) :259-271

[5]

Farina L, 2011, Positive linear systems: theory and applications, V50

[6] Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems [J].

Fornasini, Ettore ;

Valcher, Maria Elena .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) :1208-1221

[7] Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems [J].

Fornasini, Ettore ;

Valcher, Maria Elena .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (08) :1933-1937

[8] On the stability of switched positive linear systems [J].

Gurvits, L. ;

Shorten, R. ;

Mason, O. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :1099-1103

[9] Stability theory for nonnegative and compartmental dynamical systems with time delay [J].

Haddad, WM ;

Chellaboina, VS .

SYSTEMS & CONTROL LETTERS, 2004, 51 (05) :355-361

[10] Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].

Jadbabaie, A ;

Lin, J ;

Morse, AS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001

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