Pré-Publication, Document De Travail Année : 2025

Boundary feedback control of a 2×2 weakly hyperbolic system: Lyapunov-based approach (long version)

Résumé

In this paper, we propose a feedback boundary control law that ensures the exponential stability of a class of hyperbolic systems characterized by a non-diagonalizable principal part and nonuniform coefficients, as encountered in sedimentation processes and elasticity theory. We establish sufficient conditions for the exponential stability of the closedloop system. A numerical example is presented to illustrate the effectiveness of the proposed Lyapunov-based stability analysis.

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Dates et versions

hal-05035536 , version 1 (15-04-2025)

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  • HAL Id : hal-05035536 , version 1

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Mohand Ouidir Amirat, Vincent Andrieu, Jean Auriol, Mathieu Bajodek, Claire Valentin. Boundary feedback control of a 2×2 weakly hyperbolic system: Lyapunov-based approach (long version). 2025. ⟨hal-05035536⟩
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