{"title":"Finite-Time Synchronization of PDT Switched Stochastic Neural Networks under Event-Triggered Mechanism","authors":"Bo Liu, Yong Chen, Longsuo Li","doi":"10.1002/rnc.70395","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This paper investigates the finite-time synchronization problem of master-slave stochastic neural network systems with switching signals. First, to improve resource utilization, an event-triggered mechanism is introduced, taking into account the transmission delay in the communication process, and a master-slave synchronization error system is established. Second, to overcome the limitations of traditional switching signals, a more versatile persistent dwell-time switching rule is adopted. By constructing appropriate Lyapunov–Krasovskii functionals combined with free-weight matrix methodology, sufficient conditions for the finite-time <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>ℋ</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {\\mathscr{H}}_{\\infty } $$</annotation>\n </semantics></math> synchronization of the master-slave system are derived. Based on these, the controller expression is obtained via the singular value decomposition lemma. Finally, the effectiveness of the proposed method is verified through simulation examples.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 7","pages":"4002-4013"},"PeriodicalIF":3.2000,"publicationDate":"2026-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.70395","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/1/21 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the finite-time synchronization problem of master-slave stochastic neural network systems with switching signals. First, to improve resource utilization, an event-triggered mechanism is introduced, taking into account the transmission delay in the communication process, and a master-slave synchronization error system is established. Second, to overcome the limitations of traditional switching signals, a more versatile persistent dwell-time switching rule is adopted. By constructing appropriate Lyapunov–Krasovskii functionals combined with free-weight matrix methodology, sufficient conditions for the finite-time synchronization of the master-slave system are derived. Based on these, the controller expression is obtained via the singular value decomposition lemma. Finally, the effectiveness of the proposed method is verified through simulation examples.
期刊介绍:
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.