Title :
Implicit Lyapunov-Krasovski Functionals for time delay systems
Author :
Polyakov, A. ; Efimov, D. ; Perruquetti, W. ; Richard, J.-P.
Author_Institution :
Non-A INRIA - LNE, Villeneuve d´Ascq, France
Abstract :
The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, fiite-time, fixed-time and (hyper-)exponential stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is developed. The theoretical results are supported by numerical simulations.
Keywords :
Lyapunov methods; asymptotic stability; delays; ILKF; asymptotic stability analysis; finite-time stability analysis; fixed-time stability analysis; hyperexponential stabilization algorithm; implicit Lyapunov-Krasovski functional; time delay systems; Asymptotic stability; Control theory; Convergence; Equations; Lyapunov methods; Numerical stability; Stability analysis;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039543
