Stability Analysis of Discrete-Dime Positive Switched Linear Delay Systems

被引：0

作者：

Liu, Xingwen ^{[1
]}

Lam, James ^{[2
]}

机构：

[1] Southwest Univ Nationalities China, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

2012 AMERICAN CONTROL CONFERENCE (ACC) | 2012年

关键词：

LYAPUNOV FUNCTIONS; STABILIZABILITY;

D O I：

暂无

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 paper is concerned with the stability problem of discrete-time positive switched linear systems with delays. The states of the systems under consideration are confined in the positive orthant, and the delays can be time-varying and not necessarily bounded. Based on a novel approach, a delay-independent stability criterion is established for such systems. The result coincides with some well-known properties of positive system when the considered switched system has only one mode, and also improves an earlier result. A numerical example is provided to demonstrate the obtained result.

引用

页码：5444 / 5449

页数：6

共 30 条

[1]

[Anonymous], 2005, COMM CONT E

[2] Remarks on Dwell Time Solutions and Stability of Families of Nonlinear Vector Fields [J].

Bacciotti, Andrea ;

Mazzi, Luisa .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (08) :1886-1892

[3] Tutorial on the positive realization problem [J].

Benvenuti, L ;

Farina, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :651-664

[4]

Benvenuti L., 2003, LECT NOTES CONTROL I

[5] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[6] A unified framework for hybrid control: Model and optimal control theory [J].

Branicky, MS ;

Borkar, VS ;

Mitter, SK .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (01) :31-45

[7] Control for stability and positivity: Equivalent conditions and computation [J].

Gao, HJ ;

Lam, J ;

Wang, CH ;

Xu, SY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) :540-544

[8] Hybrid Dynamical Systems [J].

Goebel, Rafal ;

Sanfelice, Ricardo G. ;

Teel, Andrew R. .

IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02) :28-93

[9] 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

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

Haddad, WM ;

Chellaboina, VS .

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

← 1 2 3 →