28 citations · 59 across the 15 of their papers we have counts for
5 papers · 1 filter
Stability for the stochastic heat equation with multiplicative noise via finite-dimensional feedback
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we study the long-time behavior of a stochastic heat equation with a class of infinite-dimensional multiplicative noises and localized control. We first illustrate t…
The Graph Geometric Control Condition
Kaïs Ammari, Alessandro Duca, Romain Joly +1
In this paper, we introduce a novel concept called the Graph Geometric Control Condition (GGCC). It turns out to be a simple, geometric rewriting of many of the frameworks in which…
The Kalman rank condition and the optimal cost for the null-controllability of coupled Stokes systems
Kévin Le Balc'h, Luz de Teresa
This paper considers the controllability of a class of coupled Stokes systems with distributed controls. The coupling terms are of a different nature. The first coupling is through…
Approximate controllability of the linearized Boussinesq system in a two dimensional channel
Kévin Le Balc'h
In this paper, we prove an approximate controllability result for the linearized Boussinesq system around a fluid at rest, in a two dimensional channel, when the control acts only…
Global null-controllability and nonnegative-controllability of slightly superlinear heat equations
Kévin Le Balc'H
We consider the semilinear heat equation posed on a smooth bounded domain of with Dirichlet or Neumann boundary conditions. The control input is a source term…