Title :
Exponential estimates for neutral time-delay systems: an LMI approach
Author :
Kharitonov, Vladimir ; Mondié, Sabine ; Collado, Joaquín
Author_Institution :
Departamento de Control Automatico, Cinvestav, Mexico City, Mexico
fDate :
5/1/2005 12:00:00 AM
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 functionals, and the conditions are expressed in terms of linear matrix inequalities (LMIs).
Keywords :
Lyapunov methods; asymptotic stability; delay systems; exponential distribution; linear matrix inequalities; linear systems; Lyapunov-Krasovskii functionals; exponential estimates; exponential stability; linear matrix inequalities; linear neutral time-delay systems; Asymptotic stability; Automatic control; Delay effects; Delay estimation; Delay systems; Linear matrix inequalities; Robust stability; Sufficient conditions; Uncertain systems; Uncertainty; Exponential estimate; Lyapunov–Krasovskii functional; linear matrix inequalities (LMIs); neutral time-delay system; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.846595
