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A novel weighted couple\u2010group consensus protocol based on cooperation and competition interaction is designed, which can relax the in\u2010degree balance condition. By using graph theory, general Nyquist criterion and Gerschgorin disc theorem, the time delay upper limit that the system may allow is obtained. The conclusions indicate that there is no relationship between weighted couple\u2010group consensus and communication time delay. When the agents input time delay, the coupling weight between the agents, and the systems control parameters are satisfied, the multiagent system can converge to any given weighted coupling group consistent state. The experimental simulation results verify the correctness of the conclusion.<\/jats:p>","DOI":"10.1155\/2019\/8012890","type":"journal-article","created":{"date-parts":[[2019,3,17]],"date-time":"2019-03-17T23:37:48Z","timestamp":1552865868000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Weighted Couple\u2010Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative\u2010Competitive Interactions and Time Delays"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4027-5303","authenticated-orcid":false,"given":"Xingcheng","family":"Pu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9421-4517","authenticated-orcid":false,"given":"Chaowen","family":"Xiong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5112-2065","authenticated-orcid":false,"given":"Lianghao","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0705-615X","authenticated-orcid":false,"given":"Longlong","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,3,17]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2726102"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2017.1410250"},{"key":"e_1_2_9_3_2","doi-asserted-by":"crossref","unstructured":"WuX. 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