Coupling Time of a (Max,Plus) Matrix
Résumé
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.