Stability of differential-difference equations with norm-bounded uncertainty

Author

Yi Liu ; Hongfei Li ; Keqin Gu

Author_Institution

Dept. of Mech. & Ind. Eng., Southern Illinois Univ., Edwardsville, IL

fYear

2008

fDate

25-27 June 2008

Firstpage

295

Lastpage

300

Abstract

This article discusses the stability problem of coupled linear differential-difference equations with norm bounded uncertainty. Coupled differential-difference equations represent a very general class of time-delay systems, which include as special cases many time-delay systems of neutral type, systems with commensurate delays, and many singular time-delay systems. A new stability criterion in the form of linear matrix inequality is derived using the discretized Lyapunov-Krasovskii functional method. A number of examples are presented to illustrate the effectiveness of this method.

Keywords

Lyapunov methods; delays; difference equations; linear matrix inequalities; stability; stability criteria; uncertain systems; coupled differential-difference equations; coupled linear differential-difference equations; discretized Lyapunov-Krasovskii functional method; linear matrix inequality; norm-bounded uncertainty; stability criterion; time delay systems; Automation; Differential equations; Educational institutions; Industrial engineering; Intelligent control; Linear matrix inequalities; Mathematics; Propagation losses; Stability; Uncertainty; Lyapunov-Krasovskii functional; differential-difference equation; stability; time-delay systems; uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4592940

Filename

4592940