An Overview of Transience Bounds in Max-Plus AlgebraReport as inadecuate




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* Corresponding author 1 DYOGENE - Dynamics of Geometric Networks DI-ENS - Département d-informatique de l-École normale supérieure, ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8548 2 LIX - Laboratoire d-informatique de l-École polytechnique Palaiseau

Abstract : We survey and discuss upper bounds on the length of the transient phase of max-plus linear systems and sequences of max-plus matrix powers. In particular, we explain how to extend a result by Nachtigall to yield a new approach for proving such bounds and we state an asymptotic tightness result by using an example given by Hartmann and Arguelles.





Author: Thomas Nowak - Bernadette Charron-Bost -

Source: https://hal.archives-ouvertes.fr/



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