New stability criterion for discrete-time systems with interval time-varying state delay

Author

Guo, Yafeng ; Li, Shaoyuan

Author_Institution

Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

1342

Lastpage

1347

Abstract

This paper is concerned with the stability analysis of discrete-time systems with time-varying state delay. By defining a new Lyapunov functional and by making use of novel techniques to achieve delay dependence, a new criterion is obtained for the asymptotic stability of these systems. The proposed criterion is less conservative as well as needs fewer decision variables than some pervious ones, which is established theoretically. Two examples are given to illustrate the advantages of our method.

Keywords

Lyapunov methods; asymptotic stability; delay systems; discrete time systems; time-varying systems; Lyapunov functional; asymptotic stability; decision variable; delay dependence; discrete-time system; interval time-varying state delay; stability criterion; Asymptotic stability; Automation; Chemical processes; Delay effects; Manufacturing systems; Process control; Stability analysis; Stability criteria; Symmetric matrices; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400406

Filename

5400406