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Implicit Lyapunov-Krasovski Functionals For Stability Analysis and Control Design of Time-Delay Systems

Andrey Polyakov 1 Denis Efimov 1 Wilfrid Perruquetti 1 Jean-Pierre Richard 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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.
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Submitted on : Thursday, June 4, 2015 - 2:30:48 PM
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Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Implicit Lyapunov-Krasovski Functionals For Stability Analysis and Control Design of Time-Delay Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2015, pp.6. ⟨10.1109/TAC.2015.2422451⟩. ⟨hal-01160061⟩

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