Exponential stability analysis for positive systems with delays

Author

Zhu Shuqian ; Li Zhenbo ; Zhang Chenghui

Author_Institution

Sch. of Math., Shandong Univ., Jinan, China

fYear

2011

fDate

22-24 July 2011

Firstpage

1234

Lastpage

1239

Abstract

This paper investigates the exponential stability analysis problem for continuous-time and discrete-time positive systems with delays. Necessary conditions for exponential stability of such systems are presented based on the asymptotical stability results of linear positive time-delay systems, and sufficient conditions are provided by using Lyapunov-Krasovskii functional method. It is shown that, unlike asymptotical stability of positive time-delay systems, which is independent of delays, exponential stability of positive time-delay systems has to do with the magnitude of delays. Some illustrative examples are given to show the correctness of the obtained theoretical results.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; delay systems; discrete time systems; linear systems; Lyapunov-Krasovskii functional method; asymptotical stability; continuous-time positive system; discrete-time positive system; exponential stability analysis; linear positive time-delay system; Asymptotic stability; Delay; Educational institutions; Linear systems; Numerical stability; Simulation; Stability analysis; Delay; Exponential Stability; Positive Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001396