Structural Controllability of Undirected Diffusive Networks with VectorWeighted Edges
Abstract
In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general highorder singleinputmultioutput dynamics. The underlying graph of the network topology is {\emph{vectorweighted}}, rather than scalarweighted. The aim is to find conditions under which the networked system is structurally controllable, i.e., for almost all vector values for interaction links of the network topology, the corresponding system is controllable. It is proven that, the networked system is structurally controllable, if and only if each subsystem is controllable and observable, and the network topology is globally inputreachable. These conditions are further extended to the cases {with multiinputmultioutput subsystems and matrixweighted edges,} or where both directed and undirected interaction links exist.
 Publication:

arXiv eprints
 Pub Date:
 March 2020
 DOI:
 10.48550/arXiv.2003.03981
 arXiv:
 arXiv:2003.03981
 Bibcode:
 2020arXiv200303981Z
 Keywords:

 Electrical Engineering and Systems Science  Systems and Control
 EPrint:
 Fix some typos. The full version of an accepted version of IEEE Control Systems Letters 10.1109/LCSYS.2020.2986250