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Pré-Publication, Document De Travail Année : 2023

Stability properties for two coupled reaction-diffusion equations

Mathieu Bajodek
Hugo Lhachemi
Giorgio Valmorbida

Résumé

This paper studies the stability of the interconnection of two reaction-diffusion equations. We focus on the case where the input and output operators of the interconnection are bounded. Using the spectral decomposition of both equations, we propose a sufficient condition to estimate the exponential stability decay rate of the closed-loop system. This stability test is proposed as constraints of a semidefinite programming. An extension of this condition is also outlined in the form of a Hurwitz criterion. The proposed stability analysis conditions are illustrated with two examples.
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Dates et versions

hal-03861580 , version 1 (20-11-2022)
hal-03861580 , version 2 (06-04-2023)

Identifiants

  • HAL Id : hal-03861580 , version 2

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Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida. Stability properties for two coupled reaction-diffusion equations. 2023. ⟨hal-03861580v2⟩
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