Delay-dependent criteria for robust stability of linear uncertain systems with multiple time-varying state delays

Author

Kao, Y.G. ; Gao, C.C.

Author_Institution

Dept. of Math., Ocean Univ. of Qingdao, China

Volume

2

fYear

2005

fDate

26-29 June 2005

Firstpage

1254

Abstract

This paper deals with delay-dependent robust stability criteria for systems with time-varying structured uncertainties and multiple time-varying state delays. New delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Since free weighting matrices are used to express this relationship and appropriate ones are selected by means of linear matrix inequalities, the new criteria are more computationally effective and less conservative than the existing ones.

Keywords

delays; linear matrix inequalities; linear systems; stability; stability criteria; time-varying systems; uncertain systems; Leibniz-Newton formula; delay-dependent criteria; free weighting matrices; linear matrix inequalities; linear uncertain systems; multiple time-varying state delays; robust stability; Delay effects; Delay systems; Linear matrix inequalities; Robust stability; Stability criteria; Symmetric matrices; Time varying systems; Transmission line matrix methods; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2005. ICCA '05. International Conference on

Print_ISBN

0-7803-9137-3

Type

conf

DOI

10.1109/ICCA.2005.1528313

Filename

1528313