On the stability and stabilization of linear neutral time-delay systems

Author

Nian, Xiaohong ; Gui, Weihua ; Huang, Zhiwu

Author_Institution

Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China

Volume

4

fYear

2005

fDate

10-12 Oct. 2005

Firstpage

3769

Abstract

In this paper, the problem of the stability and stabilization analysis for linear neutral time-delay systems is investigated. The time-delays considered here are assumed bounded but no information to be available. Using Lyapunov functional method, both delay-dependent and delay-independent conditions for the stability and stabilization of the systems are presented in terms of linear matrix inequality (LMI). Examples are given to illustrate the main result of this paper and compare with the results presented in literatures.

Keywords

Lyapunov methods; delay systems; linear matrix inequalities; linear systems; stability; Lyapunov functional method; delay-dependent condition; delay-independent condition; linear matrix inequality; linear neutral systems; linear neutral time-delay systems; stability analysis; stabilization analysis; system stability; system stabilization; Asymptotic stability; Control systems; Delay systems; Differential equations; Linear feedback control systems; Stability analysis; Stability criteria; State feedback; Sufficient conditions; Vectors; linear neutral systems; stability; stabilization; time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2005 IEEE International Conference on

Print_ISBN

0-7803-9298-1

Type

conf

DOI

10.1109/ICSMC.2005.1571733

Filename

1571733