New results on absolute stability of lur’e systems with time-varying delay

Author

Chen, Yonggang ; Guo, Yunrui ; Bi, Weiping

Author_Institution

Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang

fYear

2008

fDate

25-27 June 2008

Firstpage

5483

Lastpage

5486

Abstract

This paper considers the problem of the absolute stability of lurpsilae systems with time-varying delay and sector-bounded nonlinearity. By using the Lyapunov functional method, and by resorting to new technique to estimate the upper bound of the derivative of Lyapunov functional, the new less conservative absolute stability criteria are obtained in linear matrix inequalities (LMIs). Numerical example is presented to show the effectiveness and the less conservativeness of the proposed method.

Keywords

Lyapunov methods; delays; linear matrix inequalities; nonlinear control systems; time-varying systems; Lur´e systems absolute stability; Lyapunov functional method; linear matrix inequalities; sector-bounded nonlinearity; time-varying delay; Automation; Delay effects; Delay systems; Intelligent control; Linear matrix inequalities; Mathematics; Stability criteria; Symmetric matrices; Time varying systems; Upper bound; Absolute stability; Linear matrix inequalities (LMIs); Lur’e systems; Timevarying delay;

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.2008.4593822

Filename

4593822