A delay decomposition approach to absolute stability of Lurie control system with time-varying delay

Author

Zhang, Xiaojiao ; Cui, Baotong ; Li, Wen

Author_Institution

Key Lab. of Adv. Process Control for Light Ind. (Minist. of Educ.), Jiangnan Univ., Wuxi, China

fYear

2012

fDate

23-25 May 2012

Firstpage

3062

Lastpage

3067

Abstract

This paper investigates the absolute stability problem of the transformation Lurie model with time-varying delay. A delay decomposition approach is proposed to deal with the stability problem. With different limitations, the classification of the time delay is different from the existing results. By choosing proper Lyapunov function, some delay-dependent absolute stability criteria are presented. Finally, two examples are given to demonstrate the significance of the criteria.

Keywords

Lyapunov methods; absolute stability; delays; nonlinear control systems; stability criteria; time-varying systems; Lurie control system; Lyapunov function; absolute stability problem; delay decomposition approach; delay-dependent absolute stability criteria; time delay classification; time-varying delay; transformation Lurie model; Delay; Delay effects; Linear matrix inequalities; Numerical stability; Stability criteria; Symmetric matrices; Absolute stability; Delay-decomposition; Lurie control system; Standard model; Transformation model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244483

Filename

6244483