Title :
New results of delay-dependent stability for uncertain time-delay systems
Author :
Zhou, Gu ; Lilong, Du ; Wei, Wu ; Jianhua, Zhang
Author_Institution :
Sch. of Power Eng., Nanjing Normal Univ., Nanjing, China
Abstract :
A new stability criterion of uncertain time-delay systems is proposed. By establishing a new Lyapunov function including more information of time-delay and employing free-weighting method, new delay-dependent sufficient stability conditions are obtained in terms of linear matrix inequalities(LMIs). It is shown that this new criterion can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the applicability of the proposed approach.
Keywords :
Lyapunov matrix equations; delay systems; linear matrix inequalities; stability; uncertain systems; Lyapunov function; delay-dependent stability; free-weighting method; linear matrix inequalities; uncertain time-delay system; Control systems; Delay effects; Electrical equipment industry; Laboratories; Lyapunov method; Power engineering; Robust stability; Stability criteria; Symmetric matrices; Time varying systems; LMIs; Lyapunov function; robust stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498911