{"title":"基于广义哈拉内不等式的具有切换耦合强度的复杂动力学网络的准同步化","authors":"Baizeng Bao, Hongxiao Hu, Liguang Xu","doi":"10.1177/01423312241239214","DOIUrl":null,"url":null,"abstract":"This paper investigates the exponential quasi-synchronization problem of complex dynamical networks with switched coupling strengths. First, a generalized Halanay’s inequality has been established, which further extends the existing result in Mazenc et al. This inequality not only allows the gain to surpass the decay rate but also helps to cope with quasi-synchronization of complex dynamical networks with switched coupling strengths. Then, in virtue of the obtained inequality, Lyapunov function, and some other important inequalities, sufficient criteria ensuring the quasi-synchronization for the considered system are derived analytically. A numerical example is provided to verify the feasibility of the results.","PeriodicalId":49426,"journal":{"name":"Transactions of the Institute of Measurement and Control","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi-synchronization of complex dynamical networks with switched coupling strengths based on a generalized Halanay’s inequality\",\"authors\":\"Baizeng Bao, Hongxiao Hu, Liguang Xu\",\"doi\":\"10.1177/01423312241239214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the exponential quasi-synchronization problem of complex dynamical networks with switched coupling strengths. First, a generalized Halanay’s inequality has been established, which further extends the existing result in Mazenc et al. This inequality not only allows the gain to surpass the decay rate but also helps to cope with quasi-synchronization of complex dynamical networks with switched coupling strengths. Then, in virtue of the obtained inequality, Lyapunov function, and some other important inequalities, sufficient criteria ensuring the quasi-synchronization for the considered system are derived analytically. A numerical example is provided to verify the feasibility of the results.\",\"PeriodicalId\":49426,\"journal\":{\"name\":\"Transactions of the Institute of Measurement and Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-04-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of the Institute of Measurement and Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1177/01423312241239214\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Institute of Measurement and Control","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1177/01423312241239214","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Quasi-synchronization of complex dynamical networks with switched coupling strengths based on a generalized Halanay’s inequality
This paper investigates the exponential quasi-synchronization problem of complex dynamical networks with switched coupling strengths. First, a generalized Halanay’s inequality has been established, which further extends the existing result in Mazenc et al. This inequality not only allows the gain to surpass the decay rate but also helps to cope with quasi-synchronization of complex dynamical networks with switched coupling strengths. Then, in virtue of the obtained inequality, Lyapunov function, and some other important inequalities, sufficient criteria ensuring the quasi-synchronization for the considered system are derived analytically. A numerical example is provided to verify the feasibility of the results.
期刊介绍:
Transactions of the Institute of Measurement and Control is a fully peer-reviewed international journal. The journal covers all areas of applications in instrumentation and control. Its scope encompasses cutting-edge research and development, education and industrial applications.