Robust stability of uncertain systems with two time-varying delay components

Author

Yan, Dongmei ; Bing, Kang ; Wei, JiuHong ; Zhang, Dapeng

Author_Institution

Center of Network & Educ. Technol., Jilin Univ., Changchun, China

Volume

2

fYear

2011

Firstpage

1207

Lastpage

1211

Abstract

This paper is concerned with the problem of robust stability of linear uncertain systems with two additive time-varying delay components. By constructing new Lyapunov-Krasovskii functionals, some improved sufficient stability criteria are developed using the Finsler´s Lemma and Jensen´s inequality. The maximum upper bound on the delay can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.

Keywords

Lyapunov methods; delays; functional analysis; linear matrix inequalities; linear systems; stability; time-varying systems; uncertain systems; Finsler Lemma and Jensen inequality; Lyapunov-Krasovskii functionals; additive time-varying delay components; linear matrix inequalities; linear uncertain systems; maximum upper bound; robust stability; sufficient stability criteria; time-varying delay components; Delay; Nickel; Robustness; Delay-dependent stability; Linear matrix inequality (LMI); Lyapunov functional; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Network Technology (ICCSNT), 2011 International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-1586-0

Type

conf

DOI

10.1109/ICCSNT.2011.6182176

Filename

6182176