Pré-Publication, Document De Travail Année : 2020

A tropical geometry approach to BIBO stability

Résumé

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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hal-02601058 , version 1 (16-05-2020)

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Bossoto Bossoto, Mamadou Mboup, A Yger. A tropical geometry approach to BIBO stability. 2020. ⟨hal-02601058⟩
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