{"title":"Event-triggered control for output regulation of probabilistic Boolean control networks under dimension reduction method","authors":"Jiayi Xu , Shihua Fu , Xueying Nie , Haitao Li","doi":"10.1016/j.jfranklin.2025.107637","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies the output regulation problem (ORP) of probabilistic Boolean control networks (PBCNs) via dimension reduction method, which aims to detect whether the output trajectories of a PBCN can track the time-varying output signals generated by an external Boolean network. Firstly, a dimension reduction auxiliary system is constructed, whose dimension is much smaller than the augmented system in the previous methods. By analyzing the set stabilization of the auxiliary system and the original PBCN, a necessary and sufficient condition to detect the solvability of the ORP is presented. Secondly, a type of event-triggered controls is designed, which are composed of the set stabilizers of the original PBCN and the constructed dimension reduction system. Finally, an example is provided to illustrate the feasibility of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107637"},"PeriodicalIF":3.7000,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003225001310","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the output regulation problem (ORP) of probabilistic Boolean control networks (PBCNs) via dimension reduction method, which aims to detect whether the output trajectories of a PBCN can track the time-varying output signals generated by an external Boolean network. Firstly, a dimension reduction auxiliary system is constructed, whose dimension is much smaller than the augmented system in the previous methods. By analyzing the set stabilization of the auxiliary system and the original PBCN, a necessary and sufficient condition to detect the solvability of the ORP is presented. Secondly, a type of event-triggered controls is designed, which are composed of the set stabilizers of the original PBCN and the constructed dimension reduction system. Finally, an example is provided to illustrate the feasibility of the proposed method.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.