Duality between invariant spaces for max-plus linear discrete event systems
Optimization and Control
2010-12-20 v1
Abstract
We extend the notions of conditioned and controlled invariant spaces to linear dynamical systems over the max-plus or tropical semiring. We establish a duality theorem relating both notions, which we use to construct dynamic observers. These are useful in situations in which some of the system coefficients may vary within certain intervals. The results are illustrated by an application to a manufacturing system.
Cite
@article{arxiv.0901.2915,
title = {Duality between invariant spaces for max-plus linear discrete event systems},
author = {Michael Di Loreto and Stephane Gaubert and Ricardo D. Katz and Jean-Jacques Loiseau},
journal= {arXiv preprint arXiv:0901.2915},
year = {2010}
}
Comments
22 pages, 3 figures (6 eps files)