Improvements on delayed-dependent stability criteria for linear delayed systems

Author

Shao, Hanyong ; Shi, Xuewen ; Wang, Huajian

Author_Institution

Sch. of Electr. & Inf. Autom., Qufu Normal Univ., Rizhao

fYear

2008

fDate

25-27 June 2008

Firstpage

6420

Lastpage

6424

Abstract

A new delay-dependent criterion is derived for delayed systems in terms of linear matrix inequalities. Different from previous ones, the criterion involves no slack variables. It is established theoretically that some existing criteria, which have introduced many slack variables, are equivalent to each other, and can be simplified to this one. Finally it is extended to time-varying delay type and robust stability condition is given for delayed systems with norm-bounded uncertainties.

Keywords

delay systems; linear matrix inequalities; linear systems; robust control; stability criteria; uncertain systems; delayed-dependent stability criteria; linear delayed systems; linear matrix inequalities; norm-bounded uncertainties; robust stability condition; time-varying delay type; Automation; Delay lines; Delay systems; Linear matrix inequalities; Stability analysis; Stability criteria; Symmetric matrices; Transmission line matrix methods; Uncertain systems; Uncertainty; Lyapunov-Krasovskii functional; delayed systems; linear matrix inequality (LMI); uncertain systems;

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.2008.4593901

Filename

4593901