Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model
Optimization and Control
2015-09-28 v6 Systems and Control
Abstract
This paper is devoted to the analysis of the uniform null controllability for a family of nonlinear reaction-diffusion systems approximating a parabolic-elliptic system which models the electrical activity of the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by means of a single control is shown. The proof is based on the combination of Carleman estimates and weighted energy inequalities.
Cite
@article{arxiv.1106.1788,
title = {Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model},
author = {Mostafa Bendahmane and Felipe Wallison Chaves-Silva},
journal= {arXiv preprint arXiv:1106.1788},
year = {2015}
}
Comments
20 pages