Appropriate time to apply control input to complex dynamical systems

Abstract Controlling a network structure has many potential applications many fields. In order to have an effective network control, not only finding good driver nodes is important, but also finding the optimal time to apply the external control signals to network nodes has a critical role. If appli...

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Autores principales:	Ali Ebrahimi, Abbas Nowzari-Dalini, Mahdi Jalili, Ali Masoudi-Nejad
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/fc0899c2d2e3442dad5a447ebf39085e
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spelling	oai:doaj.org-article:fc0899c2d2e3442dad5a447ebf39085e2021-12-02T12:03:15ZAppropriate time to apply control input to complex dynamical systems10.1038/s41598-020-78909-82045-2322https://doaj.org/article/fc0899c2d2e3442dad5a447ebf39085e2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78909-8https://doaj.org/toc/2045-2322Abstract Controlling a network structure has many potential applications many fields. In order to have an effective network control, not only finding good driver nodes is important, but also finding the optimal time to apply the external control signals to network nodes has a critical role. If applied in an appropriate time, one might be to control a network with a smaller control signals, and thus less energy. In this manuscript, we show that there is a relationship between the strength of the internal fluxes and the effectiveness of the external control signal. To be more effective, external control signals should be applied when the strength of the internal states is the smallest. We validate this claim on synthetic networks as well as a number of real networks. Our results may have important implications in systems medicine, in order to find the most appropriate time to inject drugs as a signal to control diseases.Ali EbrahimiAbbas Nowzari-DaliniMahdi JaliliAli Masoudi-NejadNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-7 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ali Ebrahimi Abbas Nowzari-Dalini Mahdi Jalili Ali Masoudi-Nejad Appropriate time to apply control input to complex dynamical systems
description	Abstract Controlling a network structure has many potential applications many fields. In order to have an effective network control, not only finding good driver nodes is important, but also finding the optimal time to apply the external control signals to network nodes has a critical role. If applied in an appropriate time, one might be to control a network with a smaller control signals, and thus less energy. In this manuscript, we show that there is a relationship between the strength of the internal fluxes and the effectiveness of the external control signal. To be more effective, external control signals should be applied when the strength of the internal states is the smallest. We validate this claim on synthetic networks as well as a number of real networks. Our results may have important implications in systems medicine, in order to find the most appropriate time to inject drugs as a signal to control diseases.
format	article
author	Ali Ebrahimi Abbas Nowzari-Dalini Mahdi Jalili Ali Masoudi-Nejad
author_facet	Ali Ebrahimi Abbas Nowzari-Dalini Mahdi Jalili Ali Masoudi-Nejad
author_sort	Ali Ebrahimi
title	Appropriate time to apply control input to complex dynamical systems
title_short	Appropriate time to apply control input to complex dynamical systems
title_full	Appropriate time to apply control input to complex dynamical systems
title_fullStr	Appropriate time to apply control input to complex dynamical systems
title_full_unstemmed	Appropriate time to apply control input to complex dynamical systems
title_sort	appropriate time to apply control input to complex dynamical systems
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/fc0899c2d2e3442dad5a447ebf39085e
work_keys_str_mv	AT aliebrahimi appropriatetimetoapplycontrolinputtocomplexdynamicalsystems AT abbasnowzaridalini appropriatetimetoapplycontrolinputtocomplexdynamicalsystems AT mahdijalili appropriatetimetoapplycontrolinputtocomplexdynamicalsystems AT alimasoudinejad appropriatetimetoapplycontrolinputtocomplexdynamicalsystems
_version_	1718394786082193408

Appropriate time to apply control input to complex dynamical systems

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