Partial null controllability of parabolic linear systems
Analysis of PDEs
2017-01-20 v1
Abstract
This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain in R N, we study the effect of m localized controls in a nonempty open subset only controlling p components of the solution (p, m < n). The first main result of this paper is a necessary and sufficient condition when the coupling and control matrices are constant. The second result provides, in a first step, a sufficient condition of partial null controllability when the matrices only depend on time. In a second step, through an example of partially controlled 2x2 parabolic system, we will provide positive and negative results on partial null controllability when the coefficients are space dependent.
Cite
@article{arxiv.1701.05483,
title = {Partial null controllability of parabolic linear systems},
author = {Farid Ammar Khodja and Franz Chouly and Michel Duprez},
journal= {arXiv preprint arXiv:1701.05483},
year = {2017}
}