INVESTIGADORES
KATZ Ricardo David
artículos
Título:
Duality between invariant spaces for max-plus linear discrete event systems
Autor/es:
MICHAEL DI LORETO; STÉPHANE GAUBERT; RICARDO D. KATZ; JEAN JACQUES LOISEAU
Revista:
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Editorial:
SIAM PUBLICATIONS
Referencias:
Año: 2010 vol. 48 p. 5606 - 5628
ISSN:
0363-0129
Resumen:
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.
