Structural, dynamical and symbolic observability: From dynamical systems to networks.
Classical definitions of observability classify a system as either being observable or not. Observability has been recognized as an important feature to study complex networks, and as for dynamical systems the focus has been on determining conditions for a network to be observable. About twenty year...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2018-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC6209294?pdf=render |
| _version_ | 1819038626918432768 |
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| author | Luis A Aguirre Leonardo L Portes Christophe Letellier |
| author_facet | Luis A Aguirre Leonardo L Portes Christophe Letellier |
| author_sort | Luis A Aguirre |
| collection | DOAJ |
| description | Classical definitions of observability classify a system as either being observable or not. Observability has been recognized as an important feature to study complex networks, and as for dynamical systems the focus has been on determining conditions for a network to be observable. About twenty years ago continuous measures of observability for nonlinear dynamical systems started to be used. In this paper various aspects of observability that are established for dynamical systems will be investigated in the context of networks. In particular it will be discussed in which ways simple networks can be ranked in terms of observability using continuous measures of such a property. Also it is pointed out that the analysis of the network topology is typically not sufficient for observability purposes, since both the dynamics and the coupling of such nodes play a vital role. Some of the main ideas are illustrated by means of numerical simulations. |
| first_indexed | 2024-12-21T08:40:19Z |
| format | Article |
| id | doaj.art-01fee562243445878620815f8ced77d0 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-21T08:40:19Z |
| publishDate | 2018-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-01fee562243445878620815f8ced77d02022-12-21T19:09:58ZengPublic Library of Science (PLoS)PLoS ONE1932-62032018-01-011310e020618010.1371/journal.pone.0206180Structural, dynamical and symbolic observability: From dynamical systems to networks.Luis A AguirreLeonardo L PortesChristophe LetellierClassical definitions of observability classify a system as either being observable or not. Observability has been recognized as an important feature to study complex networks, and as for dynamical systems the focus has been on determining conditions for a network to be observable. About twenty years ago continuous measures of observability for nonlinear dynamical systems started to be used. In this paper various aspects of observability that are established for dynamical systems will be investigated in the context of networks. In particular it will be discussed in which ways simple networks can be ranked in terms of observability using continuous measures of such a property. Also it is pointed out that the analysis of the network topology is typically not sufficient for observability purposes, since both the dynamics and the coupling of such nodes play a vital role. Some of the main ideas are illustrated by means of numerical simulations.http://europepmc.org/articles/PMC6209294?pdf=render |
| spellingShingle | Luis A Aguirre Leonardo L Portes Christophe Letellier Structural, dynamical and symbolic observability: From dynamical systems to networks. PLoS ONE |
| title | Structural, dynamical and symbolic observability: From dynamical systems to networks. |
| title_full | Structural, dynamical and symbolic observability: From dynamical systems to networks. |
| title_fullStr | Structural, dynamical and symbolic observability: From dynamical systems to networks. |
| title_full_unstemmed | Structural, dynamical and symbolic observability: From dynamical systems to networks. |
| title_short | Structural, dynamical and symbolic observability: From dynamical systems to networks. |
| title_sort | structural dynamical and symbolic observability from dynamical systems to networks |
| url | http://europepmc.org/articles/PMC6209294?pdf=render |
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