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Wirtinger-based Exponential Stability for Time-Delay Systems

Abstract

This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided. Variations of this theorem for synthesis of a controller or for an observer-based control is derived. Some numerical comparisons are proposed with existing theorems of the literature and comparable results are obtained but with an extension to stabilization.
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Dates and versions

hal-01488920 , version 1 (14-03-2017)
hal-01488920 , version 2 (29-03-2017)
hal-01488920 , version 3 (01-06-2017)
hal-01488920 , version 4 (25-07-2017)
hal-01488920 , version 5 (07-08-2017)
hal-01488920 , version 6 (20-11-2017)

Identifiers

  • HAL Id : hal-01488920 , version 1

Cite

Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut. Wirtinger-based Exponential Stability for Time-Delay Systems. 2017. ⟨hal-01488920v1⟩
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