41 citations · 69 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Exponential stability of the wave equation with memory and time delay
Fatiha Alabau-Boussouira, Serge Nicaise, Cristina Pignotti
We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time…
Insensitizing exact controls for the scalar wave equation and exact controllability of -coupled cascade systems of PDE's by a single control
Fatiha Alabau-Boussouira
We study the exact controllability, by a reduced number of controls, of coupled cascade systems of PDE's and the existence of exact insensitizing controls for the scalar wave equat…
A hierarchic multi-level energy method for the control of bi-diagonal and mixed n-coupled cascade systems of PDE's by a reduced number of controls
Fatiha Alabau-Boussouira
This work is concerned with the exact controllability/observability of abstract cascade hyperbolic systems by a reduced number of controls/observations. We prove that the observati…