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Conference Papers Year : 2001

Coupling Time of a (Max,Plus) Matrix

Anne Bouillard
Bruno Gaujal


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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Dates and versions

inria-00100573 , version 1 (26-09-2006)


  • 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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