Observability of Boolean networks via matrix equations

Observability of Boolean networks via matrix equations

From the new perspective of logical matrix equations, observability of Boolean networks (BNs) is investigated in this paper. First, it is shown that one BN is locally observable on the set of reachable states if and only if the constructed matrix equations have a unique canonical solution. Then, com...

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Main Authors: Yu, Yongyuan, Meng, Min, Feng, Jun-e
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2021
Subjects:
Engineering::Electrical and electronic engineering
Boolean Network
Matrix Equation
Online Access:https://hdl.handle.net/10356/152138
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1521382021-09-13T06:45:55Z Observability of Boolean networks via matrix equations Yu, Yongyuan Meng, Min Feng, Jun-e School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Boolean Network Matrix Equation From the new perspective of logical matrix equations, observability of Boolean networks (BNs) is investigated in this paper. First, it is shown that one BN is locally observable on the set of reachable states if and only if the constructed matrix equations have a unique canonical solution. Then, combining with an equivalence relation, a novel condition is established to verify global observability. Finally, an example is worked out to illustrate the obtained results. The research was supported by the National Natural Science Foundation of China under grants 61773371, 61877036 and the Natural Science Foundation of Shandong Province under grant ZR2019MF002. 2021-09-13T06:45:55Z 2021-09-13T06:45:55Z 2019 Journal Article Yu, Y., Meng, M. & Feng, J. (2019). Observability of Boolean networks via matrix equations. Automatica, 111, 108621-. https://dx.doi.org/10.1016/j.automatica.2019.108621 0005-1098 https://hdl.handle.net/10356/152138 10.1016/j.automatica.2019.108621 2-s2.0-85073723272 111 108621 en Automatica © 2019 Elsevier Ltd. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Boolean Network
Matrix Equation
spellingShingle Engineering::Electrical and electronic engineering
Boolean Network
Matrix Equation
Yu, Yongyuan
Meng, Min
Feng, Jun-e
Observability of Boolean networks via matrix equations
description From the new perspective of logical matrix equations, observability of Boolean networks (BNs) is investigated in this paper. First, it is shown that one BN is locally observable on the set of reachable states if and only if the constructed matrix equations have a unique canonical solution. Then, combining with an equivalence relation, a novel condition is established to verify global observability. Finally, an example is worked out to illustrate the obtained results.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Yu, Yongyuan
Meng, Min
Feng, Jun-e
format Article
author Yu, Yongyuan
Meng, Min
Feng, Jun-e
author_sort Yu, Yongyuan
title Observability of Boolean networks via matrix equations
title_short Observability of Boolean networks via matrix equations
title_full Observability of Boolean networks via matrix equations
title_fullStr Observability of Boolean networks via matrix equations
title_full_unstemmed Observability of Boolean networks via matrix equations
title_sort observability of boolean networks via matrix equations
publishDate 2021
url https://hdl.handle.net/10356/152138
_version_ 1712300625338826752

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