On the structural properties of an efficient feedback law
Optimization and Control
2013-02-26 v1 Analysis of PDEs
Abstract
We investigate some structural properties of an efficient feedback law that stabilize linear time-reversible systems with an arbitrarily large decay rate. After giving a short proof of the generation of a group by the closed-loop operator, we focus on the domain of the infinitesimal generator in order to illustrate the difference bewteen a distributed control and a boundary control, the latter being technically more complex. We also give a new proof of the exponential decay of the solutions and we provide an explanation of the higher decay rate observed in some experiments.
Cite
@article{arxiv.1302.6023,
title = {On the structural properties of an efficient feedback law},
author = {Ambroise Vest},
journal= {arXiv preprint arXiv:1302.6023},
year = {2013}
}
Comments
14 pages