30 citations · 115 across the 24 of their papers we have counts for
4 papers · 2 filters
Finite-time stabilization of a network of strings
Fatiha Alabau-Boussouira, Vincent Perrollaz, Lionel Rosier
We investigate the finite-time stabilization of a tree-shaped network of strings. Transparent boundary conditions are applied at all the external nodes. At any internal node, in ad…
Null controllability of one-dimensional parabolic equations by the flatness approach
Philippe Martin, Lionel Rosier, Pierre Rouchon
We consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular.Considering generalized Rob…
Control and Stabilization of the Benjamin-Ono equation in
Camille Laurent, Felipe Linares, Lionel Rosier
We prove the control and stabilization of the Benjamin-Ono equation in $L^2(\T)$, the lowest regularity where the initial value problem is well-posed. This problem was already init…
Internal controllability of the Korteweg-de Vries equation on a bounded domain
Roberto Capistrano Filho, Ademir Pazoto, Lionel Rosier
This paper is concerned with the control properties of the Korteweg-de Vries (KdV) equation posed on a bounded interval with a distributed control. When the control region is an ar…