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arXiv · 2005.08541

A tropical geometry approach to BIBO stability

Bossoto Bossoto·M Mboup·A Yger
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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.

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Bossoto Bossoto, M Mboup, A Yger. 2020-05-18. A tropical geometry approach to BIBO stability. https://arxiv.org/abs/2005.08541

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