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

Volume

50

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

666

Lastpage

670

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.846595

Filename

1431047