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Observability of probabilistic Boolean multiplex networks
Author(s) -
Liu Fengqiu,
Cui Yuxin,
Wang Jianmin,
Ji Donghai
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2290
Subject(s) - observability , probabilistic logic , multiplex , boolean network , and inverter graph , standard boolean model , computer science , theoretical computer science , boolean expression , circuit minimization for boolean functions , representation (politics) , boolean function , mathematics , algorithm , artificial intelligence , bioinformatics , politics , political science , law , biology
Abstract This study focuses on the observability of the probabilistic Boolean multiplex network. Firstly, the dynamical model and structure of probabilistic Boolean multiplex network are proposed. Using the semi‐tensor product method, the logical dynamics of probabilistic Boolean multiplex network is converted into an equivalent algebraic representation. Then, the condition for the observability of probabilistic Boolean multiplex network is obtained. Finally, the proposed result is effectively illustrated by a numerical example.