{"title":"Stabilization of Highly Nonlinear Time-Varying Coupled Systems With Regime Switching via Intermittent Discrete-Time Observation Control","authors":"Wenhua Wang;Mingrui Leng;Xiaoling Zou;Wenxue Li","doi":"10.1109/TCNS.2024.3431729","DOIUrl":null,"url":null,"abstract":"In this article, we solve the problem of the practical stabilization of highly nonlinear time-varying coupled systems with regime switching (HTCSR) via periodically intermittent discrete-time observation control (PIDTOC). It is noteworthy that the coefficients in HTCSR satisfy the polynomial growth condition, which makes the model more practical. Meanwhile, PIDTOC is applied to achieve the practical stabilization of the system for the first time. By integrating the Lyapunov method and the graph theory, we have derived the moment boundedness of the global solution for HTCSR and sufficient conditions that ensure the practical stabilization of HTCSR. Finally, an application of the improved FitzHugh–Nagumo model and the corresponding numerical simulations are given to demonstrate the effectiveness of the theoretical results.","PeriodicalId":56023,"journal":{"name":"IEEE Transactions on Control of Network Systems","volume":"12 1","pages":"1018-1028"},"PeriodicalIF":4.0000,"publicationDate":"2024-07-31","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/10616255/","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, we solve the problem of the practical stabilization of highly nonlinear time-varying coupled systems with regime switching (HTCSR) via periodically intermittent discrete-time observation control (PIDTOC). It is noteworthy that the coefficients in HTCSR satisfy the polynomial growth condition, which makes the model more practical. Meanwhile, PIDTOC is applied to achieve the practical stabilization of the system for the first time. By integrating the Lyapunov method and the graph theory, we have derived the moment boundedness of the global solution for HTCSR and sufficient conditions that ensure the practical stabilization of HTCSR. Finally, an application of the improved FitzHugh–Nagumo model and the corresponding numerical simulations are given to demonstrate the effectiveness 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.