Reference:
S. Shi,
Z. Sun, and
B. De Schutter,
"A behavioral perspective on models of linear dynamical networks with
manifest variables," Proceedings of the 2024 European Control
Conference, Stockholm, Sweden, pp. 2927-2933, June 2024.
Abstract:
Networks of dynamical systems play an important role in various
domains and have motivated many studies on the control and analysis of
linear dynamical networks. For linear network models considered in
these studies, it is typically pre-determined what signal channels are
inputs and what are outputs. These models do not capture the practical
need to incorporate different experimental situations, where different
selections of input and output channels are applied to the same
network. Moreover, a unified view of different network models is
lacking. This work makes an initial step towards addressing the above
issues by taking a behavioral perspective, where input and output
channels are not pre-determined. The focus of this work is on
behavioral network models with only external variables. By exploiting
the concept of hypergraphs, novel dual graphical representations,
called system graphs and signal graphs, are introduced for behavioral
networks. Moreover, connections between behavioral network models and
structural vector autoregressive models are established. In addition
to their connections in graphical representations, it is shown that
the regularity of interconnections is an essential assumption when
choosing a structural vector autoregressive model.
Bibtex entry:
@inproceedings{ShiSun:24-015,