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Journal Articles IEEE Transactions on Automatic Control Year : 2015

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

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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Dates and versions

hal-01160061 , version 1 (04-06-2015)

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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, 2015, pp.6. ⟨10.1109/TAC.2015.2422451⟩. ⟨hal-01160061⟩
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