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arXiv · 1405.3458

An Overview of Transience Bounds in Max-Plus Algebra

Thomas Nowak·Bernadette Charron-Bost
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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.

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Thomas Nowak, Bernadette Charron-Bost. 2014-05-14. An Overview of Transience Bounds in Max-Plus Algebra. https://doi.org/10.1090/conm%2F616%2F12306

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