Null Controllability of the 2D Heat Equation Using Flatness
Optimization and Control
2013-04-22 v1
Abstract
We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a "flat output". This provides an explicit control law achieving the exact steering to zero. Numerical experiments demonstrate the relevance of the approach.
Keywords
Cite
@article{arxiv.1304.5426,
title = {Null Controllability of the 2D Heat Equation Using Flatness},
author = {Philippe Martin and Lionel Rosier and Pierre Rouchon},
journal= {arXiv preprint arXiv:1304.5426},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1303.2344