论文标题

BIBO稳定性的热带几何方法

A tropical geometry approach to BIBO stability

论文作者

Bossoto, Bossoto, Mboup, M, Yger, A

论文摘要

鉴于Laurent多项式F及其变形虫AF。我们在这里将多线性时间不变系统具有合理传输函数的BIBO稳定性问题联系起来。我们根据原点0相对于Amoeba AF的位置来制定非常简单的标准,以实现Bibo强或弱稳定性,并建议进行算法程序以测试该属性。

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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