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arXiv · 2310.09964

Structural Controllability of Polysystems via Directed Hypergraph Representation

Joshua Pickard
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Abstract

This document explores structural controllability of polynomial dynamical systems or polysystems. We extend Lin's concept of structural controllability for linear systems, offering hypergraph-theoretic methods to rapidly assess strong controllability. Our main result establishes that a polysytem is structurally controllable when its hypergraph representation contains no hyperedge dilation and no inaccessible vertices. We propose two efficient, scalable algorithms to validate these conditions.

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Joshua Pickard. 2023-10-15. Structural Controllability of Polysystems via Directed Hypergraph Representation. https://arxiv.org/abs/2310.09964

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