Asymptotical Stabilization for Probabilistic Boolean Control Networks Under Operators and Inputs Constraints

• 成果类型: Article
• 署名作者: Zhong, Jie; Pan, Qinyao; Xu, Wenying; Liu, Yang
• 署名单位: Zhejiang Normal University; Southeast University - China
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3203019
• 发表日期: 2023
• 页码: 4313-4320
• 关键词: Asymptotical stabilization; Boolean networks (BNs); inputs constraints; operators constraints; pinning control

摘要

In this article, asymptotical stabilization of probabilistic Boolean control networks with a switching signal being an independent identically distributed process has been systematically studied. Here, the binary operators connecting logical functions of state nodes and pinning controllers are constrained to certain sets. By establishing matrix representation of operators and input constraints, several criteria for asymptotical stabilization have been established. The proposed asymptotical stabilization extends the results of Boolean networks under static pinning control, which is more practical in real-word control design systems. Finally, simulations are given to verify the effectiveness of the obtained theoretical results.