Stabilization analysis for a class of multiple interval time-varying delays system

Author

Wang Xinmei ; Wei Wu

Author_Institution

Fac. of Mech. & Electron. Inf., China Univ. of Geosci., Wuhan, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2309

Lastpage

2312

Abstract

The delay-dependent stability problem for a class of multiple interval time-varying delays system is investigated in this paper, in which the derivatives of the time-varying delays are unknown. Delay-dependent stability criterions have been formulated in LMI forms based on integral equality approach. Some advantages are showed in this paper: (1) the results are free from the restrictions on the derivatives of the time-varying delays and can be applied to fast interval time-varying delays systems (2) integral equality approach reduces the conservatism of the system (3) the results are more general. Finally, a numeric example proves that the method is effective and superior.

Keywords

delays; integral equations; linear matrix inequalities; stability criteria; time-varying systems; LMI; conservatism reduction; delay-dependent stability criterions; integral equality approach; linear matrix inequalities; multiple interval time-varying delay system; Asymptotic stability; Delay; Delay systems; Mathematical model; Stability criteria; Time varying systems; Integral equality approach; Interval time-varying delay; LMI;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244369

Filename

6244369