Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244483