Implicit Lyapunov-Krasovski Functionals for Time Delay Systems

Andrey Polyakov 1 Denis Efimov 2, 1 Wilfrid Perruquetti 1, 3, 4 Jean-Pierre Richard 1, 2, 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
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.
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Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Implicit Lyapunov-Krasovski Functionals for Time Delay Systems. Conference on Decision and Control, IEEE, Dec 2014, Los Angeles, United States. ⟨hal-01071227⟩

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