Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays

Author

Liu, Xingwen ; Yu, Wensheng ; Wang, Long

Author_Institution

Coll. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu, China

Volume

55

Issue

4

fYear

2010

fDate

4/1/2010 12:00:00 AM

Firstpage

1024

Lastpage

1028

Abstract

This note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.

Keywords

asymptotic stability; continuous time systems; delay systems; matrix algebra; time-varying systems; Hurwitz matrix; asymptotically stability; constant-delay positive system; continuous-time positive system; time-varying delay; Asymptotic stability; Automatic control; Automation; Delay systems; Educational institutions; Educational programs; Laboratories; Lyapunov method; Stability analysis; Stability criteria; Temperature; Time varying systems; Asymptotic stability; linear copositive Lyapunov functional; positive system; time-varying delays;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2041982

Filename

5404378