{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T15:02:42Z","timestamp":1788879762743,"version":"build-2803163510"},"reference-count":63,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100008982","name":"National Science Foundation","doi-asserted-by":"publisher","award":["2206576"],"award-info":[{"award-number":["2206576"]}],"id":[{"id":"10.13039\/501100008982","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008982","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1942523"],"award-info":[{"award-number":["1942523"]}],"id":[{"id":"10.13039\/501100008982","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008982","name":"National Science Foundation","doi-asserted-by":"publisher","award":["2008513"],"award-info":[{"award-number":["2008513"]}],"id":[{"id":"10.13039\/501100008982","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Automat. Contr."],"published-print":{"date-parts":[[2024,1]]},"DOI":"10.1109\/tac.2023.3271226","type":"journal-article","created":{"date-parts":[[2023,4,28]],"date-time":"2023-04-28T18:32:47Z","timestamp":1682706767000},"page":"246-260","source":"Crossref","is-referenced-by-count":17,"title":["Density Control of Interacting Agent Systems"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1459-6365","authenticated-orcid":false,"given":"Yongxin","family":"Chen","sequence":"first","affiliation":[{"name":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s11721-012-0075-2"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2018.2857475"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.56.6.1907"},{"issue":"3","key":"ref4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.4310\/CIS.2006.v6.n3.a5","article-title":"Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle","volume":"6","author":"Huang","year":"2006","journal-title":"Commun. Inf. Syst."},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.2514\/3.21374"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.2514\/6.2018-0611"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/LRA.2019.2901546"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2002.1145739"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2022.3175404"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/058"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2014.34.1533"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/20M1339982"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1080\/00207178708933880"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2457784"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2457791"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2016.7526817"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2791362"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.01.029"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2018.8619816"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1088\/1748-3190\/ab49a4"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2020.3039008"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3002971"},{"key":"ref23","article-title":"Deployment of robotic swarms via density feedback control","author":"Zheng","year":"2020"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-020-00977-8"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2015020"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/20M1320195"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3077465"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(02)00231-6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974997"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s11537-007-0657-8"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8508-7"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/19M1249461"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2602103"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050002"},{"key":"ref35","volume-title":"Gradient Flows: In Metric Spaces and in the Space of Probability Measures","author":"Ambrosio","year":"2006"},{"key":"ref36","first-page":"144","article-title":"ber die umkehrung der naturgesetze","volume":"IX","author":"Schrdinger","year":"1931","journal-title":"Sitzungsberichte der Preuss Akad Wissen. Phys. Math. Klasse, Sonderausgabe"},{"issue":"4","key":"ref37","first-page":"269","article-title":"Sur la thorie relativiste de llectron et linterprtation de la mcanique quantique","volume-title":"Annales de linstitut Henri Poincar","volume":"2","author":"Schrdinger","year":"1932"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0086180"},{"issue":"9","key":"ref39","first-page":"83","article-title":"Rsolution dun systme dquations de M. Schrdinger","volume":"83","author":"Fortet","year":"1940","journal-title":"J. Math. Pures Appl."},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2307\/1970151"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/BF00532864"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-015-0803-z"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442404"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0302-2"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2015.7170905"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.5802\/afst.1546"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-004-0340-4"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1137\/050631264"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2011.11.026"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177703591"},{"key":"ref51","first-page":"2292","article-title":"Sinkhorn distances: Lightspeed computation of optimal transport","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Cuturi","year":"2013"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90490-4"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1080\/02331930008844513"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1287\/moor.18.4.846"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/BF00939948"},{"key":"ref56","volume-title":"Probabilistic Graphical Models: Principles and Techniques","author":"Koller","year":"2009"},{"key":"ref57","first-page":"236","article-title":"Understanding belief propagation and its generalizations","volume-title":"Exploring Artif. Intell. New Millennium","volume":"8","author":"Yedidia","year":"2003"},{"key":"ref58","first-page":"2111","article-title":"Convergence analysis of proximal gradient with momentum for nonconvex optimization","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Li","year":"2017"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-control-070220-100858"},{"key":"ref60","volume-title":"Foundations of Optimal Control Theory","author":"Lee","year":"1967"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6380-7"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4149(87)90184-0"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-018-1365-7"}],"container-title":["IEEE Transactions on Automatic Control"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/9\/10376321\/10111078-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9\/10376321\/10111078.pdf?arnumber=10111078","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,27]],"date-time":"2024-02-27T19:40:06Z","timestamp":1709062806000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10111078\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1]]},"references-count":63,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tac.2023.3271226","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":[[2024,1]]}}}