Title :
An LMI approach to stability of systems with severe time-delay
Author :
Jing, Xing-Jian ; Tan, Da-long ; Wang, Yue-chao
Author_Institution :
Robotics Lab., Chinese Acad. of Sci., Shenyang, China
fDate :
7/1/2004 12:00:00 AM
Abstract :
This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple linear matrix inequalities.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; stability; time-varying systems; uncertain systems; Lyapunov Krasovskii functionals; linear matrix inequality; stability; time delay systems; time varying delay; uncertain systems; Constraint theory; Delay effects; Delay systems; Laboratories; Linear matrix inequalities; Robotics and automation; Stability; Time domain analysis; Time varying systems; Uncertain systems; LMI; Linear matrix inequality; stability; time-delay systems; time-varying delay;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.831109
