On the cost of null-control of an artificial advection-diffusion problem
Optimization and Control
2016-04-05 v2
Abstract
In this paper we study the null-controllability of an artificial advection-diffusion system in dimension . Using a spectral method, we prove that the control cost goes to zero exponentially when the viscosity vanishes and the control time is large enough. On the other hand, we prove that the control cost tends to infinity exponentially when the viscosity vanishes and the control time is small enough.
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Cite
@article{arxiv.1206.5209,
title = {On the cost of null-control of an artificial advection-diffusion problem},
author = {Pierre Cornilleau and Sergio Guerrero},
journal= {arXiv preprint arXiv:1206.5209},
year = {2016}
}
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16 pages