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arXiv · 2104.08950

Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree

W. Steven Gray·Luis A. Duffaut Espinosa·Kurusch Ebrahimi-Fard
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Abstract

Given an additive network of input-output systems where each node of the network is modeled by a locally convergent Chen-Fliess series, two basic properties of the network are established. First, it is shown that every input-output map between a given pair of nodes has a locally convergent Chen-Fliess series representation. Second, sufficient conditions are given under which the input-output map between a pair of nodes has a well defined relative degree as defined by its generating series. This analysis leads to the conclusion that this relative degree property is generic in a certain sense.

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W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard. 2021-04-18. Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree. https://arxiv.org/abs/2104.08950

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