Delay-dependent absolute stability of lur´e systems with interval time-varying delay

Author

Chen, Yonggang ; Zhang, Yanhui ; Li, Qingbo

Author_Institution

Henan Inst. of Eng., Zhengzhou

fYear

2008

fDate

6-8 April 2008

Firstpage

1696

Lastpage

1699

Abstract

In this paper, we consider the problem of the absolute stability of Lur´e systems with interval time-varying delay and sector-bounded nonlinearity. By using the Lyapunov functional method, and noticing that the useful term is reserved when estimating the upper bound of the derivative of Lyapunov functional, delay-dependent absolute stability criteria are obtained in terms of linear matrix inequalities. Numerical example is presented to show the effectiveness and the less conservativeness of the proposed method.

Keywords

Lyapunov methods; absolute stability; control nonlinearities; delay systems; delays; linear matrix inequalities; nonlinear control systems; time-varying systems; Lur´e systems; Lyapunov functional method; delay-dependent absolute stability criteria; interval time-varying delay; linear matrix inequalities; sector-bounded nonlinearity; Biological system modeling; Chemical processes; Degradation; Delay effects; Delay estimation; Linear matrix inequalities; Stability criteria; Symmetric matrices; Time varying systems; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Networking, Sensing and Control, 2008. ICNSC 2008. IEEE International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-1685-1

Electronic_ISBN

978-1-4244-1686-8

Type

conf

DOI

10.1109/ICNSC.2008.4525495

Filename

4525495