{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T07:21:31Z","timestamp":1768720891035,"version":"3.49.0"},"reference-count":31,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2011,12,1]],"date-time":"2011-12-01T00:00:00Z","timestamp":1322697600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Syst., Man, Cybern. B"],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1109\/tsmcb.2011.2160394","type":"journal-article","created":{"date-parts":[[2011,8,15]],"date-time":"2011-08-15T20:20:11Z","timestamp":1313439611000},"page":"1715-1724","source":"Crossref","is-referenced-by-count":220,"title":["Distributed Primal\u2013Dual Subgradient Method for Multiagent Optimization via Consensus Algorithms"],"prefix":"10.1109","volume":"41","author":[{"family":"Deming Yuan","sequence":"first","affiliation":[]},{"family":"Shengyuan Xu","sequence":"additional","affiliation":[]},{"family":"Huanyu Zhao","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1145\/984622.984626"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144503423264"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2009.2023937"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009690"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2009515"},{"key":"ref13","article-title":"On distributed convex optimization under inequality and equality constraints via primal–dual subgradient methods","author":"zhu","year":"2011","journal-title":"IEEE Trans Autom Control"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1109\/TSMCB.2009.2023509","article-title":"Globally exponential synchronization and synchronizability for general dynamical networks","volume":"40","author":"lu","year":"2010","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2041686"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-009-9522-7"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.80.066121"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1109\/TSMCB.2009.2030495","article-title":"Optimal linear-consensus algorithms: An LQR perspective","volume":"40","author":"cao","year":"2010","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2007.338264"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1142\/6570"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.874516"},{"key":"ref3","author":"bertsekas","year":"1999","journal-title":"Nonlinear Programming"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2008.080506"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1007\/s10957-010-9737-7","article-title":"Distributed stochastic subgradient projection algorithms for convex optimization","volume":"147","author":"ram","year":"2010","journal-title":"J Optim Theory Appl"},{"key":"ref5","author":"arrow","year":"1958","journal-title":"Studies in Linear and Non-linear Programming"},{"key":"ref8","author":"bertsekas","year":"2003","journal-title":"Convex Analysis and Optimization"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"1215","DOI":"10.1016\/j.automatica.2010.04.005","article-title":"A unified synchronization criterion for impulsive dynamical networks","volume":"46","author":"lu","year":"2010","journal-title":"Automatica"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.846556"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.02.022"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.834113"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2008.4739339"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1109\/TSMCB.2009.2024647","article-title":"Distributed coordination of networked fractional-order systems","volume":"40","author":"cao","year":"2010","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2008.4738860"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2007.01.002"},{"key":"ref23","first-page":"63","article-title":"A scheme for robust distributed sensor fusion based on average consensus","author":"xiao","year":"2005","journal-title":"Proc 4th Int Symp Inf Process Sensor Netw"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.07.004"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.812781"}],"container-title":["IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/3477\/6006807\/05976476.pdf?arnumber=5976476","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:53:03Z","timestamp":1642006383000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5976476\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":31,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tsmcb.2011.2160394","relation":{},"ISSN":["1083-4419","1941-0492"],"issn-type":[{"value":"1083-4419","type":"print"},{"value":"1941-0492","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12]]}}}