{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:37:30Z","timestamp":1777379850948,"version":"3.51.4"},"reference-count":53,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T00:00:00Z","timestamp":1746057600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T00:00:00Z","timestamp":1746057600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T00:00:00Z","timestamp":1746057600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61922051"],"award-info":[{"award-number":["61922051"]}],"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":["62122043"],"award-info":[{"award-number":["62122043"]}],"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":["62192753"],"award-info":[{"award-number":["62192753"]}],"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":["62250056"],"award-info":[{"award-number":["62250056"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Shandong Province for Distinguished Young Scholars","award":["ZR2022JQ31"],"award-info":[{"award-number":["ZR2022JQ31"]}]},{"name":"Major Basic Research of Natural Science Foundation of Shandong Province","award":["ZR2021ZD14"],"award-info":[{"award-number":["ZR2021ZD14"]}]},{"name":"Major Basic Research of Natural Science Foundation of Shandong Province","award":["ZR2020ZD24"],"award-info":[{"award-number":["ZR2020ZD24"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2025,5]]},"DOI":"10.1109\/tac.2024.3501738","type":"journal-article","created":{"date-parts":[[2024,11,18]],"date-time":"2024-11-18T14:05:54Z","timestamp":1731938754000},"page":"3197-3212","source":"Crossref","is-referenced-by-count":8,"title":["Asymptotically Optimal Distributed Control for Linear\u2013Quadratic Mean Field Social Systems With Heterogeneous Agents"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5427-2955","authenticated-orcid":false,"given":"Yong","family":"Liang","sequence":"first","affiliation":[{"name":"School of Control Science and Engineering, Shandong University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3882-8615","authenticated-orcid":false,"given":"Bing-Chang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Control Science and Engineering, Shandong University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8611-7327","authenticated-orcid":false,"given":"Huanshui","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","article-title":"Linear quadratic mean field teams: Optimal and approximately optimal decentralized solutions","author":"Arabneydi","year":"2016"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2966035"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2019.0608"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/140951795"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/140985676"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8508-7"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-015-0819-4"},{"key":"ref8","article-title":"Mean field games","volume-title":"Encyclopedia of Systems and Control","author":"Caines","year":"2014"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-020-01314-9"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-56436-4"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1214\/15-AAP1125"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1214\/22-AAP1878"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/16-AAP1215"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-013-0099-2"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3281493"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.5547\/ISSN0195-6574-EJ-Vol17-No2-3"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2519501"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.904450"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2183439"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1137\/080735370"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2919111"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-021-09817-0"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2228032"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/21M1414140"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2024.111518"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-017-9464-7"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/JIOT.2019.2948169"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s11537-007-0657-8"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2019.108774"},{"key":"ref30","volume-title":"Fair, Division and Collective Welfare","author":"Moulin","year":"2004"},{"key":"ref31","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2020.109067","article-title":"Linearquadratic mean field stochastic zero-sum differential games","volume":"120","author":"Moon","year":"2020","journal-title":"Automatica"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2579264"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2023.3244483"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2385253"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2215399"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3106877"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2723956"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2797199"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2007.338264"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2021.06.004"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-48306-7"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2012.6314643"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.11.006"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109088"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3036246"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2996189"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2021.1971302"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s13235-023-00512-z"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-023-3962-0"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.01.081"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.23919\/ASCC56756.2022.9828290"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1051\/cocv\/2021021"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1466-3"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/9\/10977569\/10756705.pdf?arnumber=10756705","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T21:01:55Z","timestamp":1769634115000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10756705\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5]]},"references-count":53,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tac.2024.3501738","relation":{},"ISSN":["0018-9286","1558-2523","2334-3303"],"issn-type":[{"value":"0018-9286","type":"print"},{"value":"1558-2523","type":"electronic"},{"value":"2334-3303","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5]]}}}