A tropical geometry approach to BIBO stability
Computational Geometry
2020-05-19 v1
Abstract
Given a Laurent polynomial F and its amoeba AF. We relate here the question of the BIBO stability of a multi linear time invariant system with a rational transfer function. We formulate very simple criteria for BIBO strong or weak stability in terms of the position of the origin 0 with respect to the amoeba AF and suggest an algorithmic procedure in order to test such property.
Cite
@article{arxiv.2005.08541,
title = {A tropical geometry approach to BIBO stability},
author = {Bossoto Bossoto and M Mboup and A Yger},
journal= {arXiv preprint arXiv:2005.08541},
year = {2020}
}