Stabilization of time-varying continuous-time systems with a small delay in the input

Two control designs of exponentially stabilizing feedbacks for two families of time-varying continuous-time systems with a pointwise delay in the input are proposed. A smallness condition is imposed on the delay. In contrast to the classical reduction model approach, the results do not necessitate knowledge of the state transition matrix.

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Publication Details

Journal
IFAC-PapersOnLine
Published
2025-01-01
DOI
https://doi.org/10.1016/j.ifacol.2025.10.037
Primary Topic
Stability and Control of Uncertain Systems
Type
article
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article

Stabilization of time-varying continuous-time systems with a small delay in the input

Frédéric Mazenc, Catherine Bonnet
IFAC-PapersOnLine
Stability and Control of Uncertain Systems
article

Stabilization of time-varying continuous-time systems with a small delay in the input

Frédéric Mazenc, Catherine Bonnet
article en

Abstract

Two control designs of exponentially stabilizing feedbacks for two families of time-varying continuous-time systems with a pointwise delay in the input are proposed. A smallness condition is imposed on the delay. In contrast to the classical reduction model approach, the results do not necessitate knowledge of the state transition matrix.

IFAC-PapersOnLineVol. 59(13)
Centre National de la Recherche Scientifique (FR), Université Paris-Saclay (FR), CentraleSupélec (FR)
Openalex Percentile: Top 58%
Stability and Control of Uncertain Systems
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