Network controllability of structured networks: a survey on graph-theoretical approaches

This paper provides an extensive overview of research on the controllability of linear structured networks. In structured networks, the connection weight between agents is characterized as either a fixed zero or any non-zero value, leading to numerous possible realizations. We refer to these non-zer...

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Main Authors: Nam-Jin Park, Hyo-Sung Ahn
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:SICE Journal of Control, Measurement, and System Integration
Subjects:
Online Access:http://dx.doi.org/10.1080/18824889.2024.2435125
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author Nam-Jin Park
Hyo-Sung Ahn
author_facet Nam-Jin Park
Hyo-Sung Ahn
author_sort Nam-Jin Park
collection DOAJ
description This paper provides an extensive overview of research on the controllability of linear structured networks. In structured networks, the connection weight between agents is characterized as either a fixed zero or any non-zero value, leading to numerous possible realizations. We refer to these non-zero values of connection weights within structured networks as network parameters. Such structured networks exhibit control uncertainty due to variations in network parameters. This paper delves into this aspect, offering insights into how changes in the network parameters affect the controllability of a structured network. By reviewing graph-theoretical results from the past decade, this paper introduces a hierarchical approach to controllability that addresses both entire graphs and individual nodes. Finally, this paper highlights unresolved issues in the field of structured network controllability and suggests future directions.
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institution Kabale University
issn 1884-9970
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publisher Taylor & Francis Group
record_format Article
series SICE Journal of Control, Measurement, and System Integration
spelling doaj-art-2f25544ae9a043a6b1a2cd0589f558582025-02-11T15:10:11ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702025-12-0118110.1080/18824889.2024.24351252435125Network controllability of structured networks: a survey on graph-theoretical approachesNam-Jin Park0Hyo-Sung Ahn1Gwangju Institute of Science and Technology (GIST)Gwangju Institute of Science and Technology (GIST)This paper provides an extensive overview of research on the controllability of linear structured networks. In structured networks, the connection weight between agents is characterized as either a fixed zero or any non-zero value, leading to numerous possible realizations. We refer to these non-zero values of connection weights within structured networks as network parameters. Such structured networks exhibit control uncertainty due to variations in network parameters. This paper delves into this aspect, offering insights into how changes in the network parameters affect the controllability of a structured network. By reviewing graph-theoretical results from the past decade, this paper introduces a hierarchical approach to controllability that addresses both entire graphs and individual nodes. Finally, this paper highlights unresolved issues in the field of structured network controllability and suggests future directions.http://dx.doi.org/10.1080/18824889.2024.2435125structured networkcontrollabilitycontrollable subspace of structured networksstructurally controllable nodesstrongly structurally controllable nodes
spellingShingle Nam-Jin Park
Hyo-Sung Ahn
Network controllability of structured networks: a survey on graph-theoretical approaches
SICE Journal of Control, Measurement, and System Integration
structured network
controllability
controllable subspace of structured networks
structurally controllable nodes
strongly structurally controllable nodes
title Network controllability of structured networks: a survey on graph-theoretical approaches
title_full Network controllability of structured networks: a survey on graph-theoretical approaches
title_fullStr Network controllability of structured networks: a survey on graph-theoretical approaches
title_full_unstemmed Network controllability of structured networks: a survey on graph-theoretical approaches
title_short Network controllability of structured networks: a survey on graph-theoretical approaches
title_sort network controllability of structured networks a survey on graph theoretical approaches
topic structured network
controllability
controllable subspace of structured networks
structurally controllable nodes
strongly structurally controllable nodes
url http://dx.doi.org/10.1080/18824889.2024.2435125
work_keys_str_mv AT namjinpark networkcontrollabilityofstructurednetworksasurveyongraphtheoreticalapproaches
AT hyosungahn networkcontrollabilityofstructurednetworksasurveyongraphtheoreticalapproaches