Title :
New Absolute Stability Condition for Time-Delay Systems with Sector-Bounded Nonlinearity
Author :
Wang, Yijing ; Zuo, Zhiqiang ; Zhang, Guoshan
Author_Institution :
Sch. of Electr. Eng. & Autom., Tianjin Univ., Tianjin
Abstract :
This paper is devoted to the absolute stability analysis of Lurie systems with time delay. A new delay-dependent Lyapunov function analyzing approach is proposed to reduce the conservativeness in computing the upper bound of the maximum allowed delay. Some new stability conditions are developed in terms of linear matrix inequalities. Examples are provided to demonstrate the reduced conservatism of the proposed methods.
Keywords :
Lyapunov methods; control nonlinearities; control system analysis; delay systems; delays; linear matrix inequalities; stability; Lurie system; absolute stability analysis; delay-dependent Lyapunov function; linear matrix inequality; sector-bounded nonlinearity; time-delay system; Cities and towns; Control systems; Delay effects; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Robots; Stability analysis; Symmetric matrices; Upper bound;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4283015
