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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| Format: | Journal Article |
| Sprog: | English |
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2021
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| Online adgang: | https://hdl.handle.net/10356/152138 |
| _version_ | 1826117571181543424 |
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| author | Yu, Yongyuan Meng, Min Feng, Jun-e |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Yu, Yongyuan Meng, Min Feng, Jun-e |
| author_sort | Yu, Yongyuan |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T04:29:27Z |
| format | Journal Article |
| id | ntu-10356/152138 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:29:27Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-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. |
| spellingShingle | Engineering::Electrical and electronic engineering Boolean Network Matrix Equation Yu, Yongyuan Meng, Min Feng, Jun-e Observability of Boolean networks via matrix equations |
| title | 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_short | Observability of Boolean networks via matrix equations |
| title_sort | observability of boolean networks via matrix equations |
| topic | Engineering::Electrical and electronic engineering Boolean Network Matrix Equation |
| url | https://hdl.handle.net/10356/152138 |
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