Skip to Main content Skip to Navigation
Conference papers

Stability analysis of a 1D wave equation with a nonmonotone distributed damping

Abstract : This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided together with a precise characterization of the asymptotic behavior of the trajectories of the system under consideration. The well-posedness is proved in the nonstandard L p functional spaces, with p ∈ [2, ∞], and relies mostly on some results collected in Haraux (2009). The asymptotic behavior analysis is based on an attractivity result on a specific infinite-dimensional linear time-variant system.
Complete list of metadata
Contributor : Swann Marx Connect in order to contact the contributor
Submitted on : Tuesday, February 5, 2019 - 10:43:14 AM
Last modification on : Wednesday, November 3, 2021 - 6:43:55 AM
Long-term archiving on: : Monday, May 6, 2019 - 1:41:13 PM


Files produced by the author(s)


  • HAL Id : hal-02006292, version 1
  • ARXIV : 1902.02050


Swann Marx, Yacine Chitour, Christophe Prieur. Stability analysis of a 1D wave equation with a nonmonotone distributed damping. MECHATRONICS 2019 - NOLCOS 2019 - 8th IFAC Symposium on Mechatronic Systems - 11th IFAC Symposium on Nonlinear Control Systems, Sep 2019, Vienne, Austria. ⟨hal-02006292⟩



Les métriques sont temporairement indisponibles