Controllability and observabiliy of an artificial advection-diffusion problem
Optimization and Control
2016-04-05 v5 Systems and Control
Analysis of PDEs
Abstract
In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity.
Keywords
Cite
@article{arxiv.0902.4881,
title = {Controllability and observabiliy of an artificial advection-diffusion problem},
author = {Pierre Cornilleau and Sergio Guerrero},
journal= {arXiv preprint arXiv:0902.4881},
year = {2016}
}
Comments
20 pages, accepted for publication in MCSS. DOI: 10.1007/s00498-012-0076-0