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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.
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Submitted on : Tuesday, September 26, 2006 - 2:47:46 PM
Last modification on : Friday, February 4, 2022 - 3:21:39 AM


  • HAL Id : inria-00100573, version 1



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



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