Improved delay-dependent stability criteria for linear systems with time-varying delay

Author

Wei, Qian ; Juan, Liu ; Anping, Bao

Author_Institution

Dept. of Comput. Sci. & Technol., Henan Polytech. Univ., Jiaozuo, China

Volume

2

fYear

2009

fDate

20-22 Nov. 2009

Firstpage

374

Lastpage

377

Abstract

This paper is concerned with the delay-dependent stability and robust stability for uncertain systems with time-varying delay. Through constructing a general form of Lyapunov-Krasovskii functional, and using slack matrices and the convex combination condition in the calculation, the delay-dependent stability criteria are derived in terms of linear matrix inequalities without applying any bounding techniques. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some existing results.

Keywords

Lyapunov methods; delays; linear matrix inequalities; linear systems; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; bounding techniques; convex combination condition; delay-dependent stability criteria; linear matrix inequality; linear systems; robust stability; slack matrices; time-varying delay; uncertain systems; Computer science; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Robust stability; Stability criteria; Symmetric matrices; Time varying systems; Uncertain systems; linear matrix inequality (LMI); linear systems; stability; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-4754-1

Electronic_ISBN

978-1-4244-4738-1

Type

conf

DOI

10.1109/ICICISYS.2009.5358384

Filename

5358384