Dilations and degeneracy in network controllability

Abstract Network controllability asserts a perspective that the structure—the location of edges that connect nodes—of the network contains important information about fundamental characteristics of our ability to change the behavior that evolves on these networks. It can be used, for example, to det...

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Autores principales:	Liam Chung, Derek Ruths, Justin Ruths
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c3d5da077015480480b43095a1ecba05
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spelling	oai:doaj.org-article:c3d5da077015480480b43095a1ecba052021-12-02T14:29:09ZDilations and degeneracy in network controllability10.1038/s41598-021-88529-52045-2322https://doaj.org/article/c3d5da077015480480b43095a1ecba052021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-88529-5https://doaj.org/toc/2045-2322Abstract Network controllability asserts a perspective that the structure—the location of edges that connect nodes—of the network contains important information about fundamental characteristics of our ability to change the behavior that evolves on these networks. It can be used, for example, to determine the parts of the system that when influenced by outside controlling signals, can ultimately steer the behavior of the entire network. One of the challenges in utilizing the ideas from network controllability on real systems is that there is typically more than one potential solution (often many) suggested by the topology of the graph that perform equally well. Picking a single candidate from this degenerate solution set over others should be properly motivated, however, to-date our understanding of how these different options are related has been limited. In this work, we operationalize the existing notion of a dilation into a framework that provides clarity on the source of this control degeneracy and further elucidates many of the existing results surrounding degeneracy in the literature.Liam ChungDerek RuthsJustin RuthsNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Liam Chung Derek Ruths Justin Ruths Dilations and degeneracy in network controllability
description	Abstract Network controllability asserts a perspective that the structure—the location of edges that connect nodes—of the network contains important information about fundamental characteristics of our ability to change the behavior that evolves on these networks. It can be used, for example, to determine the parts of the system that when influenced by outside controlling signals, can ultimately steer the behavior of the entire network. One of the challenges in utilizing the ideas from network controllability on real systems is that there is typically more than one potential solution (often many) suggested by the topology of the graph that perform equally well. Picking a single candidate from this degenerate solution set over others should be properly motivated, however, to-date our understanding of how these different options are related has been limited. In this work, we operationalize the existing notion of a dilation into a framework that provides clarity on the source of this control degeneracy and further elucidates many of the existing results surrounding degeneracy in the literature.
format	article
author	Liam Chung Derek Ruths Justin Ruths
author_facet	Liam Chung Derek Ruths Justin Ruths
author_sort	Liam Chung
title	Dilations and degeneracy in network controllability
title_short	Dilations and degeneracy in network controllability
title_full	Dilations and degeneracy in network controllability
title_fullStr	Dilations and degeneracy in network controllability
title_full_unstemmed	Dilations and degeneracy in network controllability
title_sort	dilations and degeneracy in network controllability
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/c3d5da077015480480b43095a1ecba05
work_keys_str_mv	AT liamchung dilationsanddegeneracyinnetworkcontrollability AT derekruths dilationsanddegeneracyinnetworkcontrollability AT justinruths dilationsanddegeneracyinnetworkcontrollability
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Dilations and degeneracy in network controllability

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