A Behavioral Perspective on Models of Linear Dynamical Networks with Manifest Variables

Shengling Shi, Zhiyong Sun, Bart De Schutter

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
PublisherInstitute of Electrical and Electronics Engineers
Pages2927-2933
Number of pages7
ISBN (Electronic)978-3-9071-4410-7
DOIs
Publication statusPublished - 24 Jul 2024
Event22nd European Control Conference 2024, ECC 2024 - KTH Royal Institute of Technology, Stockholm, Sweden
Duration: 25 Jun 202428 Jun 2024
Conference number: 22
https://ecc24.euca-ecc.org/

Conference

Conference22nd European Control Conference 2024, ECC 2024
Abbreviated titleECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/2428/06/24
Internet address

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