Coupling Time of a (Max,Plus) Matrix

Anne Bouillard 1 Bruno Gaujal 2
2 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper, we give a bound on the coupling time of an irreducible (max,plus) linear system X(n) = A X(n-1) with its pseudo-periodic regime. This bounds uses a decomposition of the matrix A into its critical part Ac and its non-critical part B, as well as the maximal average weight of a circuit in B, which could be seen as the counterpart of the second largest eigenvalue in the classical linear case.
Type de document :
Communication dans un congrès
Ifac Workshop on Max-Plus Algebras, 2001, Prague/Czechoslovakia, 6 p, 2001
Liste complète des métadonnées

https://hal.inria.fr/inria-00100573
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 14:47:46
Dernière modification le : jeudi 11 janvier 2018 - 06:20:05

Identifiants

  • HAL Id : inria-00100573, version 1

Collections

Citation

Anne Bouillard, Bruno Gaujal. Coupling Time of a (Max,Plus) Matrix. Ifac Workshop on Max-Plus Algebras, 2001, Prague/Czechoslovakia, 6 p, 2001. 〈inria-00100573〉

Partager

Métriques

Consultations de la notice

194