Trajectory tracking approach to logical (control) networks

Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks are analyzed. Compared to the method of logical...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 6; pp. 9668 - 9682
Main Authors Zhao, Xiaoyu, Fu, Shihua
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
attractors
controllability matrix
semi-tensor product (stp) of matrices
vector form expression
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Summary:Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks are analyzed. Compared to the method of logical matrix, vector form expression called structure vector method decreases the computational complex. Numerical examples show that the complexity of the structure vector method is greatly reduced.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022538