Pinning control design for the output regulation of Boolean networks

In previous studies, the output regulation problem (ORP) of Boolean networks (BNs) is usually studied by the augmented system method, however, the state transition matrix dimension of augmented system is growing exponentially as the number of network nodes increases. To reduce the computational comp...

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Bibliographic Details
Published inInternational journal of control Vol. 98; no. 7; pp. 1495 - 1504
Main Authors Fu, Shihua, Zhao, Yuan, Jiang, Chunfeng, Xu, Jiayi
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.07.2025
Subjects
Boolean networks
output regulation
pinning control
semi-tensor product
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Summary:In previous studies, the output regulation problem (ORP) of Boolean networks (BNs) is usually studied by the augmented system method, however, the state transition matrix dimension of augmented system is growing exponentially as the number of network nodes increases. To reduce the computational complexity, a new method to solve the ORP is adopted in this paper. Firstly, the relationship among the attractors of two BNs and their augmented system is studied, based on which, the ORP is converted into the set stabilisation problem of the original BN, and some necessary and sufficient conditions are given to detect the solvability of the ORP. Secondly, a pinning control for the ORP is considered according to the attractors of the original BNs, and an algorithm to design this kind of controls is provided. Finally, a practical example of signal transduction network is given to illustrate the effectiveness of the method in this paper.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2024.2405725