Structural Controllability of Polysystems via Directed Hypergraph Representation
Optimization and Control
2023-10-17 v1 Dynamical Systems
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.
Cite
@article{arxiv.2310.09964,
title = {Structural Controllability of Polysystems via Directed Hypergraph Representation},
author = {Joshua Pickard},
journal= {arXiv preprint arXiv:2310.09964},
year = {2023}
}
Comments
12 pages, 3 algorithms