{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T18:29:35Z","timestamp":1776277775709,"version":"3.50.1"},"reference-count":38,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T00:00:00Z","timestamp":1724976000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62173355"],"award-info":[{"award-number":["62173355"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12461027"],"award-info":[{"award-number":["12461027"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Program for Innovative Research Team in Universities of Inner Mongolia Autonomous","award":["NMGIRT2317"],"award-info":[{"award-number":["NMGIRT2317"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,9,23]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>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.<\/jats:p>","DOI":"10.1093\/imamci\/dnae026","type":"journal-article","created":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T14:03:51Z","timestamp":1725026631000},"page":"590-609","source":"Crossref","is-referenced-by-count":2,"title":["Pairwise synchronization of second-order matrix-weighted networks"],"prefix":"10.1093","volume":"41","author":[{"given":"Pengchao","family":"Lv","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences , Inner Mongolia University, Hohhot 010021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Liu","sequence":"additional","affiliation":[{"name":"Ministry of Education Key Laboratory for Intelligent Analysis and Security Governance of Ethnic Languages , School of Information Engineering, Minzu University of China, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junjie","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences , Inner Mongolia University, Hohhot 010021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2024,8,30]]},"reference":[{"key":"2024092312114206200_ref1","doi-asserted-by":"crossref","first-page":"11565","DOI":"10.1109\/TVT.2019.2946225","article-title":"A novel reliable adaptive beacon time synchronization algorithm for large-scale vehicular ad hoc networks","volume":"68","author":"Ansere","year":"2019","journal-title":"IEEE Trans. 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