Equivalence between attractivity and asymptotic stability for continuous 2D linear Roesser models

In this note, we show that an attractive equilibrium point of a continuous linear 2D Roesser system is asymptotically stable. The proof is strongly based on a technical result providing local bounds for the trajectory in terms of boundary conditions.

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Publication Details

Journal
IFAC-PapersOnLine
Published
2025-01-01
DOI
https://doi.org/10.1016/j.ifacol.2025.09.583
Primary Topic
Stability and Control of Uncertain Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Equivalence between attractivity and asymptotic stability for continuous 2D linear Roesser models

Olivier Bachelier, Nima Yeganefar, Thomas Cluzeau, Francisco José Silva Álvarez et al.
IFAC-PapersOnLine
Stability and Control of Uncertain Systems
article

Equivalence between attractivity and asymptotic stability for continuous 2D linear Roesser models

Olivier Bachelier, Nima Yeganefar, Thomas Cluzeau, Francisco José Silva Álvarez, Q. Helman
article en

Abstract

In this note, we show that an attractive equilibrium point of a continuous linear 2D Roesser system is asymptotically stable. The proof is strongly based on a technical result providing local bounds for the trajectory in terms of boundary conditions.

IFAC-PapersOnLineVol. 59(12)
Centre National de la Recherche Scientifique (FR), Université de Poitiers (FR), Université de Limoges (FR)
Openalex Percentile: Top 65%
Stability and Control of Uncertain Systems
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