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Stability properties for two coupled reaction-diffusion equations

Abstract : 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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Preprints, Working Papers, ...
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03861580
Contributor : Mathieu Bajodek Connect in order to contact the contributor
Submitted on : Sunday, November 20, 2022 - 10:35:58 AM
Last modification on : Friday, November 25, 2022 - 3:32:51 AM

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  • HAL Id : hal-03861580, version 1

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

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