{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T15:14:57Z","timestamp":1767971697310,"version":"3.49.0"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2022,11,15]],"date-time":"2022-11-15T00:00:00Z","timestamp":1668470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,11,15]],"date-time":"2022-11-15T00:00:00Z","timestamp":1668470400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s11432-022-3582-5","type":"journal-article","created":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T03:04:03Z","timestamp":1668654243000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Distributed optimization with Markovian switching targets and stochastic observation noises with applications to DC microgrids"],"prefix":"10.1007","volume":"65","author":[{"given":"Siyu","family":"Xie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leyi","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masoud H.","family":"Nazari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"George","family":"Yin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gun","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,11,15]]},"reference":[{"key":"3582_CR1","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1109\/TPWRS.2006.888982","volume":"22","author":"P N Vovos","year":"2007","unstructured":"Vovos P N, Kiprakis A E, Wallace A R, et al. Centralized and distributed voltage control: impact on distributed generation penetration. IEEE Trans Power Syst, 2007, 22: 476\u2013483","journal-title":"IEEE Trans Power Syst"},{"key":"3582_CR2","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1109\/TAC.2008.2009515","volume":"54","author":"A Nedic","year":"2009","unstructured":"Nedic A, Ozdaglar A. Distributed subgradient methods for multi-agent optimization. IEEE Trans Automat Contr, 2009, 54: 48\u201361","journal-title":"IEEE Trans Automat Contr"},{"key":"3582_CR3","doi-asserted-by":"publisher","first-page":"1157","DOI":"10.1137\/08073038X","volume":"20","author":"B Johansson","year":"2010","unstructured":"Johansson B, Rabi M, Johansson M. A randomized incremental subgradient method for distributed optimization in networked systems. SIAM J Optim, 2010, 20: 1157\u20131170","journal-title":"SIAM J Optim"},{"key":"3582_CR4","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1109\/JPROC.2014.2306253","volume":"102","author":"A H Sayed","year":"2014","unstructured":"Sayed A H. Adaptive networks. Proc IEEE, 2014, 102: 460\u2013497","journal-title":"Proc IEEE"},{"key":"3582_CR5","doi-asserted-by":"publisher","first-page":"012204","DOI":"10.1007\/s11432-016-9114-y","volume":"61","author":"W W Yu","year":"2018","unstructured":"Yu W W, Li C J, Yu X H, et al. Economic power dispatch in smart grids: a framework for distributed optimization and consensus dynamics. Sci China Inf Sci, 2018, 61: 012204","journal-title":"Sci China Inf Sci"},{"key":"3582_CR6","doi-asserted-by":"publisher","first-page":"129204","DOI":"10.1007\/s11432-018-9502-1","volume":"61","author":"Z H Li","year":"2018","unstructured":"Li Z H, Ding Z T. Distributed optimization on unbalanced graphs via continuous-time methods. Sci China Inf Sci, 2018, 61: 129204","journal-title":"Sci China Inf Sci"},{"key":"3582_CR7","first-page":"515","volume":"61","author":"S Su","year":"2016","unstructured":"Su S, Lin Z. Distributed consensus control of multi-agent systems with higher order agent dynamics and dynamically changing directed interaction topologies. IEEE Trans Automat Contr, 2016, 61: 515\u2013519","journal-title":"IEEE Trans Automat Contr"},{"key":"3582_CR8","doi-asserted-by":"publisher","first-page":"2941","DOI":"10.1109\/TSG.2017.2720471","volume":"8","author":"D K Molzahn","year":"2017","unstructured":"Molzahn D K, D\u00f6rfler F, Sandberg H, et al. A survey of distributed optimization and control algorithms for electric power systems. IEEE Trans Smart Grid, 2017, 8: 2941\u20132962","journal-title":"IEEE Trans Smart Grid"},{"key":"3582_CR9","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.automatica.2018.03.027","volume":"93","author":"S Y Xie","year":"2018","unstructured":"Xie S Y, Guo L. A necessary and sufficient condition for stability of LMS-based consensus adaptive filters. Automatica, 2018, 93: 12\u201319","journal-title":"Automatica"},{"key":"3582_CR10","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/j.automatica.2018.11.056","volume":"101","author":"S Liang","year":"2019","unstructured":"Liang S, Wang L Y, Yin G. Distributed quasi-monotone subgradient algorithm for nonsmooth convex optimization over directed graphs. Automatica, 2019, 101: 175\u2013181","journal-title":"Automatica"},{"key":"3582_CR11","doi-asserted-by":"publisher","first-page":"1013","DOI":"10.1109\/TSG.2017.2757498","volume":"10","author":"Z Wang","year":"2019","unstructured":"Wang Z, Liu F, Chen Y, et al. Unified distributed control of stand-alone DC microgrids. IEEE Trans Smart Grid, 2019, 10: 1013\u20131024","journal-title":"IEEE Trans Smart Grid"},{"key":"3582_CR12","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1109\/TEC.2014.2329236","volume":"29","author":"A Khorsandi","year":"2014","unstructured":"Khorsandi A, Ashourloo M, Mokhtari H. A decentralized control method for a low-voltage DC microgrid. IEEE Trans Energy Convers, 2014, 29: 793\u2013801","journal-title":"IEEE Trans Energy Convers"},{"key":"3582_CR13","doi-asserted-by":"publisher","first-page":"3082","DOI":"10.1109\/TIE.2018.2840506","volume":"66","author":"M Baranwal","year":"2019","unstructured":"Baranwal M, Askarian A, Salapaka S, et al. A distributed architecture for robust and optimal control of DC microgrids. IEEE Trans Ind Electron, 2019, 66: 3082\u20133092","journal-title":"IEEE Trans Ind Electron"},{"key":"3582_CR14","doi-asserted-by":"publisher","first-page":"2288","DOI":"10.1109\/TPEL.2014.2324579","volume":"30","author":"V Nasirian","year":"2015","unstructured":"Nasirian V, Moayedi S, Davoudi A, et al. Distributed cooperative control of DC microgrids. IEEE Trans Power Electron, 2015, 30: 2288\u20132303","journal-title":"IEEE Trans Power Electron"},{"key":"3582_CR15","doi-asserted-by":"publisher","first-page":"3355","DOI":"10.1109\/TSG.2018.2825199","volume":"10","author":"C Wang","year":"2019","unstructured":"Wang C, Duan J, Fan B, et al. Decentralized high-performance control of DC microgrids. IEEE Trans Smart Grid, 2019, 10: 3355\u20133363","journal-title":"IEEE Trans Smart Grid"},{"key":"3582_CR16","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1109\/LCSYS.2018.2857559","volume":"3","author":"S Trip","year":"2019","unstructured":"Trip S, Cucuzzella M, Cheng X, et al. Distributed averaging control for voltage regulation and current sharing in DC microgrids. IEEE Control Syst Lett, 2019, 3: 174\u2013179","journal-title":"IEEE Control Syst Lett"},{"key":"3582_CR17","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1049\/iet-rpg.2014.0271","volume":"9","author":"M Hosseinzadeh","year":"2015","unstructured":"Hosseinzadeh M, Salmasi F R. Power management of an isolated hybrid AC\/DC micro-grid with fuzzy control of battery banks. IET Renew Power Generation, 2015, 9: 484\u2013493","journal-title":"IET Renew Power Generation"},{"key":"3582_CR18","doi-asserted-by":"publisher","first-page":"695","DOI":"10.1109\/TPEL.2013.2257857","volume":"29","author":"T Dragi\u010devi\u0107","year":"2014","unstructured":"Dragi\u010devi\u0107 T, Guerrero J M, Vasquez J C, et al. Supervisory control of an adaptive-droop regulated DC microgrid with battery management capability. IEEE Trans Power Electron, 2014, 29: 695\u2013706","journal-title":"IEEE Trans Power Electron"},{"key":"3582_CR19","doi-asserted-by":"publisher","first-page":"1029","DOI":"10.1109\/TITS.2015.2492564","volume":"17","author":"D Zhang","year":"2015","unstructured":"Zhang D, Jiang J, Wang L Y, et al. Robust and scalable management of power networks in dual-source trolleybus systems: a consensus control framework. IEEE Trans Intell Transp Syst, 2015, 17: 1029\u20131038","journal-title":"IEEE Trans Intell Transp Syst"},{"key":"3582_CR20","doi-asserted-by":"publisher","first-page":"1188","DOI":"10.1109\/TITS.2017.2717699","volume":"19","author":"D Zhang","year":"2018","unstructured":"Zhang D, Wang L Y, Jiang J, et al. Optimal power management in DC microgrids with applications to dual-source trolleybus systems. IEEE Trans Intell Transp Syst, 2018, 19: 1188\u20131197","journal-title":"IEEE Trans Intell Transp Syst"},{"key":"3582_CR21","doi-asserted-by":"publisher","first-page":"778","DOI":"10.1109\/TTE.2018.2844367","volume":"4","author":"E Sindi","year":"2018","unstructured":"Sindi E, Wang L Y, Polis M, et al. Distributed optimal power and voltage management in DC microgrids: applications to dual-source trolleybus systems. IEEE Trans Transp Electrific, 2018, 4: 778\u2013788","journal-title":"IEEE Trans Transp Electrific"},{"key":"3582_CR22","doi-asserted-by":"publisher","first-page":"7196","DOI":"10.1109\/TITS.2021.3067196","volume":"23","author":"S Y Xie","year":"2022","unstructured":"Xie S Y, Nazari M H, Wang L Y, et al. Impact of stochastic generation\/load variations on distributed optimal energy management in DC microgrids for transportation electrification. IEEE Trans Intell Transp Syst, 2022, 23: 7196\u20137205","journal-title":"IEEE Trans Intell Transp Syst"},{"key":"3582_CR23","doi-asserted-by":"publisher","first-page":"2812","DOI":"10.1109\/TSG.2021.3062024","volume":"12","author":"M H Nazari","year":"2021","unstructured":"Nazari M H, Xie S Y, Wang L Y, et al. Impact of communication packet delivery ratio on reliability of optimal load tracking and allocation in DC microgrids. IEEE Trans Smart Grid, 2021, 12: 2812\u20132821","journal-title":"IEEE Trans Smart Grid"},{"key":"3582_CR24","doi-asserted-by":"publisher","first-page":"109940","DOI":"10.1016\/j.automatica.2021.109940","volume":"135","author":"S Y Xie","year":"2022","unstructured":"Xie S Y, Nazari M H, Wang L Y, et al. Adaptive step size selection in distributed optimization with observation noise and unknown stochastic target variation. Automatica, 2022, 135: 109940","journal-title":"Automatica"},{"key":"3582_CR25","first-page":"55","volume-title":"Discrete-time Markov Chains: Two-Time-Scale Methods and Applications","author":"G Yin","year":"2005","unstructured":"Yin G, Zhang Q. Discrete-time Markov Chains: Two-Time-Scale Methods and Applications. Berlin: Springer, 2005. 55"},{"key":"3582_CR26","first-page":"282","volume-title":"Markov Processes: Characterization and Convergence","author":"S N Ethier","year":"2009","unstructured":"Ethier S N, Kurtz T G. Markov Processes: Characterization and Convergence. Hoboken: John Wiley & Sons, 2009. 282"},{"key":"3582_CR27","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1109\/TAC.2005.847060","volume":"50","author":"G G Yin","year":"2005","unstructured":"Yin G G, Krishnamurthy V. Least mean square algorithms with Markov regime-switching limit. IEEE Trans Automat Contr, 2005, 50: 577\u2013593","journal-title":"IEEE Trans Automat Contr"},{"key":"3582_CR28","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1109\/TAC.2008.2009487","volume":"54","author":"G G Yin","year":"2009","unstructured":"Yin G G, Kan S, Wang L Y, et al. Identification of systems with regime switching and unmodeled dynamics. IEEE Trans Automat Contr, 2009, 54: 34\u201347","journal-title":"IEEE Trans Automat Contr"},{"key":"3582_CR29","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1002\/asjc.678","volume":"16","author":"G G Yin","year":"2014","unstructured":"Yin G G, Hashemi A, Wang L Y. Sign-regressor adaptive filtering algorithms for Markovian parameters. Asian J Control, 2014, 16: 95\u2013106","journal-title":"Asian J Control"},{"key":"3582_CR30","doi-asserted-by":"publisher","first-page":"1571","DOI":"10.1016\/j.automatica.2010.06.016","volume":"46","author":"M Huang","year":"2010","unstructured":"Huang M, Dey S, Nair G N, et al. Stochastic consensus over noisy networks with Markovian and arbitrary switches. Automatica, 2010, 46: 1571\u20131583","journal-title":"Automatica"},{"key":"3582_CR31","doi-asserted-by":"publisher","first-page":"2545","DOI":"10.1109\/TAC.2012.2188353","volume":"57","author":"Q Zhang","year":"2012","unstructured":"Zhang Q, Zhang J F. Distributed parameter estimation over unreliable networks with Markovian switching topologies. IEEE Trans Automat Contr, 2012, 57: 2545\u20132560","journal-title":"IEEE Trans Automat Contr"},{"key":"3582_CR32","doi-asserted-by":"publisher","first-page":"2504","DOI":"10.1016\/j.automatica.2014.08.031","volume":"50","author":"P Patrinos","year":"2014","unstructured":"Patrinos P, Sopasakis P, Sarimveis H, et al. Stochastic model predictive control for constrained discrete-time Markovian switching systems. Automatica, 2014, 50: 2504\u20132514","journal-title":"Automatica"},{"key":"3582_CR33","volume-title":"Convergence of Probability Measures","author":"P Billingsley","year":"1968","unstructured":"Billingsley P. Convergence of Probability Measures. Hoboken: John Wiley & Sons, 1968"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-022-3582-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11432-022-3582-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-022-3582-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,4]],"date-time":"2024-01-04T21:22:11Z","timestamp":1704403331000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11432-022-3582-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,15]]},"references-count":33,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["3582"],"URL":"https:\/\/doi.org\/10.1007\/s11432-022-3582-5","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,15]]},"assertion":[{"value":"16 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 June 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 November 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"222205"}}