Title :
Implicit Lyapunov-Krasovski Functionals for Stability Analysis and Control Design of Time-Delay Systems
Author :
Polyakov, Andrey ; Efimov, Denis ; Perruquetti, Wilfrid ; Richard, J.-P.
Author_Institution :
Non-A, Inria Lille-Nord Eur., 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, (hyper) exponential, finite-time and fixed-time stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is presented. The theoretical result is supported by numerical simulation.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delays; numerical analysis; ILKF; asymptotic analysis; control design; exponential analysis; finite-time analysis; fixed-time stability analysis; hyper exponential stabilization algorithm; implicit Lyapunov-Krasovski functional; numerical simulation; time-delay systems; Asymptotic stability; Control design; Control theory; Convergence; Lyapunov methods; Stability analysis; Delay systems; nonlinear control systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2015.2422451
