Lei Xue;Haoyu Zhou;Yongbao Wu;Jian Liu;Donald C. Wunsch
{"title":"Aperiodically Intermittent Dynamic Event-Triggered Control for Predefined-Time Synchronization of Stochastic Complex Networks","authors":"Lei Xue;Haoyu Zhou;Yongbao Wu;Jian Liu;Donald C. Wunsch","doi":"10.1109/TNSE.2024.3521598","DOIUrl":null,"url":null,"abstract":"In this paper, the problem of practical predefined-time synchronization in mean square (PTSMS) of stochastic complex networks (SCNs) is investigated through dynamic event-triggered control (E-TC). Different from the existing literature, this paper considers the dynamic E-TC in an aperiodically intermittent control framework and employs the average control rate, which makes it easier to satisfy the conditions of the theorem. In comparison to existing finite-time and fixed-time synchronization, by introducing the time-varying function, it can be guaranteed that all states of SCNs achieve the practical PTSMS within a preset time without calculating the convergence time. Combined with stochastic analysis theory, the practical PTSMS criterion for aperiodically intermittent dynamic event-triggered control (AIDE-TC) is derived by constructing a Lyapunov function with an auxiliary function. In addition, all event generators for AIDE-TC proposed in this paper ensure a minimum inter-event interval for each sample path solution, thus excluding Zeno behavior. Finally, to demonstrate that the model in this paper can be applied to real-world networks, the theoretical results are verified by an application of the Kuramoto oscillator networks.","PeriodicalId":54229,"journal":{"name":"IEEE Transactions on Network Science and Engineering","volume":"12 2","pages":"970-981"},"PeriodicalIF":6.7000,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Network Science and Engineering","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10814683/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the problem of practical predefined-time synchronization in mean square (PTSMS) of stochastic complex networks (SCNs) is investigated through dynamic event-triggered control (E-TC). Different from the existing literature, this paper considers the dynamic E-TC in an aperiodically intermittent control framework and employs the average control rate, which makes it easier to satisfy the conditions of the theorem. In comparison to existing finite-time and fixed-time synchronization, by introducing the time-varying function, it can be guaranteed that all states of SCNs achieve the practical PTSMS within a preset time without calculating the convergence time. Combined with stochastic analysis theory, the practical PTSMS criterion for aperiodically intermittent dynamic event-triggered control (AIDE-TC) is derived by constructing a Lyapunov function with an auxiliary function. In addition, all event generators for AIDE-TC proposed in this paper ensure a minimum inter-event interval for each sample path solution, thus excluding Zeno behavior. Finally, to demonstrate that the model in this paper can be applied to real-world networks, the theoretical results are verified by an application of the Kuramoto oscillator networks.
期刊介绍:
The proposed journal, called the IEEE Transactions on Network Science and Engineering (TNSE), is committed to timely publishing of peer-reviewed technical articles that deal with the theory and applications of network science and the interconnections among the elements in a system that form a network. In particular, the IEEE Transactions on Network Science and Engineering publishes articles on understanding, prediction, and control of structures and behaviors of networks at the fundamental level. The types of networks covered include physical or engineered networks, information networks, biological networks, semantic networks, economic networks, social networks, and ecological networks. Aimed at discovering common principles that govern network structures, network functionalities and behaviors of networks, the journal seeks articles on understanding, prediction, and control of structures and behaviors of networks. Another trans-disciplinary focus of the IEEE Transactions on Network Science and Engineering is the interactions between and co-evolution of different genres of networks.