Finite-time observability of probabilistic Boolean multiplex control networks
Kybernetika, Tome 60 (2024) no. 1, pp. 60-75
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
This paper investigates the finite-time observability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, the finite-time observability of the PBMCNs is converted into the set reachability issue according to the parallel interconnection technique (a minor modification of the weighted pair graph method in the literature). Secondly, the necessary and sufficient condition for the finite-time observability of PBMCNs is presented based on the set reachability. Finally, the main conclusions are substantiated by providing illustrative examples.
This paper investigates the finite-time observability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, the finite-time observability of the PBMCNs is converted into the set reachability issue according to the parallel interconnection technique (a minor modification of the weighted pair graph method in the literature). Secondly, the necessary and sufficient condition for the finite-time observability of PBMCNs is presented based on the set reachability. Finally, the main conclusions are substantiated by providing illustrative examples.
DOI :
10.14736/kyb-2024-1-0060
Classification :
93B07, 93C10, 93E03
Keywords: finite-time observability; semi-tensor product; probabilistic Boolean multiplex control networks; set reachability
Keywords: finite-time observability; semi-tensor product; probabilistic Boolean multiplex control networks; set reachability
@article{10_14736_kyb_2024_1_0060,
author = {Cui, Yuxin and Li, Shu and Shan, Yunxiao},
title = {Finite-time observability of probabilistic {Boolean} multiplex control networks},
journal = {Kybernetika},
pages = {60--75},
year = {2024},
volume = {60},
number = {1},
doi = {10.14736/kyb-2024-1-0060},
mrnumber = {4730700},
zbl = {07893447},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-1-0060/}
}
TY - JOUR AU - Cui, Yuxin AU - Li, Shu AU - Shan, Yunxiao TI - Finite-time observability of probabilistic Boolean multiplex control networks JO - Kybernetika PY - 2024 SP - 60 EP - 75 VL - 60 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-1-0060/ DO - 10.14736/kyb-2024-1-0060 LA - en ID - 10_14736_kyb_2024_1_0060 ER -
%0 Journal Article %A Cui, Yuxin %A Li, Shu %A Shan, Yunxiao %T Finite-time observability of probabilistic Boolean multiplex control networks %J Kybernetika %D 2024 %P 60-75 %V 60 %N 1 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-1-0060/ %R 10.14736/kyb-2024-1-0060 %G en %F 10_14736_kyb_2024_1_0060
Cui, Yuxin; Li, Shu; Shan, Yunxiao. Finite-time observability of probabilistic Boolean multiplex control networks. Kybernetika, Tome 60 (2024) no. 1, pp. 60-75. doi: 10.14736/kyb-2024-1-0060
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