Dimensionality Reduction Method for Output Regulation of probabilistic Boolean Control Networks

In this paper, we study the output regulation problem (ORP) of probabilistic Boolean control networks (PBCNs) via event-triggered control. Firstly, the algebraic forms of a PBCN and a reference BN are established via the semi-tentor product. By analyzing the set stabilization of the small auxiliary...

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Bibliographic Details
Published in2024 39th Youth Academic Annual Conference of Chinese Association of Automation (YAC) pp. 1280 - 1285
Main Authors Xu, Jiayi, Nie, Xueying, Fu, Shihua
Format Conference Proceeding
LanguageEnglish
Published IEEE 07.06.2024
Subjects
Automation
Design methodology
Dimensionality reduction
event-triggered control
output regulation
Probabilistic Boolean networks
Probabilistic logic
Regulation
semi-tensor product
State feedback
Sufficient conditions
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Summary:In this paper, we study the output regulation problem (ORP) of probabilistic Boolean control networks (PBCNs) via event-triggered control. Firstly, the algebraic forms of a PBCN and a reference BN are established via the semi-tentor product. By analyzing the set stabilization of the small auxiliary system and the PBCN, a necessary and sufficient condition to detect the solvability of the ORP is presented. Secondly, a method to design the state feedback event-triggered control for the ORP is proposed. Finally, an example is given to is given to verify the effectiveness of the new results.
ISSN:2837-8601
DOI:10.1109/YAC63405.2024.10598811