Title :
Exponential estimates for neutral time delay systems: an LMI approach
Author :
Kharitonov, Vladimir ; Mondié, Sabine ; Collado, Joaquin
Author_Institution :
Departamento de Control Automitico, CINVESTAV, Zacatenco, Mexico
Abstract :
Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay systems are given. The estimates are obtained for the case of known parameters as well as the uncertain case, including uncertainties in the difference term. The proof is based on Lyapunov-Krasovskii functional, and the conditions are expressed in terms of linear matrix inequalities.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; linear systems; uncertain systems; LMI; Lyapunov-Krasovskii functional; exponential estimates; exponential stability; linear matrix inequalities; linear neutral time delay systems; uncertain systems; Asymptotic stability; Automatic control; Delay effects; Delay estimation; Delay systems; Linear matrix inequalities; Robust stability; Sufficient conditions; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1430218