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

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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
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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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