{"title":"Pinning Control Strategy for Prescribed-Time Synchronization of Stochastic Complex Dynamical Networks","authors":"Xiaotong Liu;Ying Guo;Jin Li;Mingzhu Li","doi":"10.1109/TCNS.2024.3488515","DOIUrl":null,"url":null,"abstract":"In this article, a new type of pinning control (PC) is proposed to investigate the prescribed-time synchronization (PTS) of stochastic complex dynamical networks (SCDNs) with or without time-varying delays (TVDs). It is worth noting that this article introduces stochastic perturbations in general complex dynamical networks, and investigates the properties of SCDNs with or without TVDs, respectively. Besides, using the Lyapunov method and graph theory, SCDNs with or without TVDs under PC can reach the PTS at the given settling time, where only some of the nodes of SCDNs need to be controlled. Furthermore, the theoretical results are applied to Chua's circuits and some numerical simulations are offered to support the validity of the theoretical results.","PeriodicalId":56023,"journal":{"name":"IEEE Transactions on Control of Network Systems","volume":"12 1","pages":"510-520"},"PeriodicalIF":4.0000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Control of Network Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10738431/","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
In this article, a new type of pinning control (PC) is proposed to investigate the prescribed-time synchronization (PTS) of stochastic complex dynamical networks (SCDNs) with or without time-varying delays (TVDs). It is worth noting that this article introduces stochastic perturbations in general complex dynamical networks, and investigates the properties of SCDNs with or without TVDs, respectively. Besides, using the Lyapunov method and graph theory, SCDNs with or without TVDs under PC can reach the PTS at the given settling time, where only some of the nodes of SCDNs need to be controlled. Furthermore, the theoretical results are applied to Chua's circuits and some numerical simulations are offered to support the validity of the theoretical results.
期刊介绍:
The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.