Section: New Results

An Overview of Transience Bounds in Max-Plus Algebra

This book chapter surveys and discusses upper bounds on the length of the transient phase of max-plus linear systems and sequences of max-plus matrix powers. In particular, It explains how to extend a result by Nachtigall to yield a new approach for proving such bounds and states an asymptotic tightness result by using an example given by Hartmann and Arguelles.

This work was done by Thomas Nowak together with Bernadette Charron-Bost from the CNRS. It appeared in the book “Tropical and Idempotent Mathematics and Applications” in the AMS's book series Contemporary Mathematics.