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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2022

Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems

Résumé

Hyperbolic systems in one dimensional space are frequently used in modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the finite stabilization for the optimal time of homogeneous linear and quasilinear hyperbolic systems. In this work, we present Lyapunov's functions for these feedbacks and use estimates for Lyapunov's functions to rediscover the finite stabilization results.
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hal-02895516 , version 1 (09-07-2020)

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  • HAL Id : hal-02895516 , version 1

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Jean-Michel Coron, Hoai-Minh Nguyen. Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022, 39 (5), pp.1235-1260. ⟨hal-02895516⟩
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