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Conference Papers Year : 2014

Implicit Lyapunov-Krasovski Functionals for 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, 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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Dates and versions

hal-01071227 , version 1 (03-10-2014)

Identifiers

  • HAL Id : hal-01071227 , version 1

Cite

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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