{"title":"Pairwise synchronization of second-order matrix-weighted networks","authors":"Pengchao Lv, Bo Liu, Junjie Huang","doi":"10.1093/imamci/dnae026","DOIUrl":null,"url":null,"abstract":"This paper deals with the pairwise synchronization of second-order linear time invariant (LTI) systems with incommensurable outputs through a matrix-weighted graph. The pairwise synchronization here means that the relative outputs have pairwise synchronized solutions for the identical LTI systems. For the matrix-weighted network, some necessary and sufficient conditions on the pairwise synchronization are given by means of the Jordan form, matrix decomposition and effective conductance. Moreover, the relationship between the global synchronization and the connectivity of its interconnection graph is also discussed. Examples and simulations are shown to verify the theoretical results.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-08-30","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/dnae026","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
Abstract
This paper deals with the pairwise synchronization of second-order linear time invariant (LTI) systems with incommensurable outputs through a matrix-weighted graph. The pairwise synchronization here means that the relative outputs have pairwise synchronized solutions for the identical LTI systems. For the matrix-weighted network, some necessary and sufficient conditions on the pairwise synchronization are given by means of the Jordan form, matrix decomposition and effective conductance. Moreover, the relationship between the global synchronization and the connectivity of its interconnection graph is also discussed. Examples and simulations are shown to verify the theoretical results.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
