基于混合控制的具有对抗相互作用的离散时间网络的二部同步

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2022-10-08 DOI:10.1093/imamci/dnac022

Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng

{"title":"基于混合控制的具有对抗相互作用的离散时间网络的二部同步","authors":"Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng","doi":"10.1093/imamci/dnac022","DOIUrl":null,"url":null,"abstract":"\n The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":"97 1","pages":"1077-1102"},"PeriodicalIF":1.6000,"publicationDate":"2022-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control\",\"authors\":\"Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng\",\"doi\":\"10.1093/imamci/dnac022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.\",\"PeriodicalId\":56128,\"journal\":{\"name\":\"IMA Journal of Mathematical Control and Information\",\"volume\":\"97 1\",\"pages\":\"1077-1102\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2022-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IMA Journal of Mathematical Control and Information\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1093/imamci/dnac022\",\"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":"IMA Journal of Mathematical Control and Information","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1093/imamci/dnac022","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}

引用次数: 0

摘要

通过脉冲混合控制，解决了具有对抗相互作用的离散网络的二部同步问题。首先，提出了一种混合状态反馈控制器，该控制器结合了固定状态反馈控制器和脉冲状态反馈控制器，并利用平均脉冲区间法推导了二部同步的判据。其次，针对网络状态不全被测量的情况，提出了一种结合钉住式测量反馈控制器和钉住式脉冲测量反馈控制器的混合测量反馈控制器。利用时变李雅普诺夫函数方法设计了测量反馈混合控制器，实现了二部同步。最后，通过数值仿真验证了所提控制器设计方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control

The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.