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For systems with\/without time delays, couple-group consensus criteria are established in the form of linear matrix inequalities by utilizing both model transformation and stability theories. The main results indicate that the group consensus for multi-agent systems under the effect of second-order neighbours\u2019 information can be achieved based on the premise of a generalized balanced couple. Finally, illustrative examples are presented to demonstrate the effectiveness of the theoretical results.<\/jats:p>","DOI":"10.1177\/0142331217691335","type":"journal-article","created":{"date-parts":[[2017,3,14]],"date-time":"2017-03-14T02:56:56Z","timestamp":1489460216000},"page":"1726-1737","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Couple-group consensus for second-order multi-agent systems with the effect of second-order neighbours\u2019 information"],"prefix":"10.1177","volume":"40","author":[{"given":"Yulan","family":"Gao","sequence":"first","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, Sichuan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junyan","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of 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