Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Annales de l'Institut Henri Poincaré C, Analyse non linéaire Year : 2022

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

Abstract

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.
Fichier principal
Vignette du fichier
Lyapunov-20-07-07-archive.pdf (368.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02895516 , version 1 (09-07-2020)

Licence

Attribution

Identifiers

  • HAL Id : hal-02895516 , version 1

Cite

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⟩
68 View
38 Download

Share

Gmail Facebook X LinkedIn More