Duality between invariant spaces for max-plus linear discrete event systems

Details Duality between invariant spaces for max-plus linear discrete event systems Duality between invariant spaces for max-plus linear discrete event systems

2009-01-19

arxiv.org/abs/0901.2915v1

SIAM J. Control Optim. Volume 48, Issue 8, pp. 5606-5628 (2010)

Mathematics

Optimization and Control

22 pages, 3 figures (6 eps files)

Scientific paper

10.1137/090747191

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.

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