Title :
LMI-based exponential estimates for time-delay systems
Author_Institution :
Coll. of Sci., China Three Gorges Univ., Yichang, China
Abstract :
In this paper, the problem of exponential stability for time-delay systems is considered. By constructing a new Lyapunov-Krasovskii functional, LMI-based sufficient conditions for exponential stability are presented. Besides, a new sufficient condition for robust exponential stability is also derived for uncertain time-delay systems with time-varying norm-bounded parameter uncertainties. Two numerical examples are shown the reduced conservatism of the proposed conditions.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; time-varying systems; uncertain systems; LMI-based exponential estimation; Lyapunov-Krasovskii functional; exponential stability; time-varying norm-bounded parameter uncertainties; uncertain time-delay systems; Delay effects; Delay estimation; Delay lines; Delay systems; Educational institutions; Robust stability; Sufficient conditions; Systems biology; Time varying systems; Uncertain systems; LMI; exponential stability; time-delay systems; uncertain systems;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192473
