{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T20:07:16Z","timestamp":1784318836053,"version":"3.55.0"},"reference-count":36,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.cnsns.2026.110404","type":"journal-article","created":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T16:31:23Z","timestamp":1781713883000},"page":"110404","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P2","title":["Sum-of-values conservation on strongly connected open systems"],"prefix":"10.1016","volume":"162","author":[{"given":"Shanchan","family":"Jiang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoyu","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dandan","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhicheng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.110404_bib0001","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2025.112400","article-title":"Scale-free distributed control for the DC MG cluster under dos attacks: an asynchronous switched strategy","volume":"179","author":"Cheng","year":"2025","journal-title":"Automatica"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110404_bib0002","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1002\/asjc.3529","article-title":"Synchronization of networked mechanical systems without velocity information","volume":"27","author":"Jiang","year":"2025","journal-title":"Asian J Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0003","article-title":"The price of optimal fleet selection","author":"Zhang","year":"2026","journal-title":"IEEE Trans Intell Transp Syst"},{"issue":"345","key":"10.1016\/j.cnsns.2026.110404_bib0004","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1080\/01621459.1974.10480137","article-title":"Reaching a consensus","volume":"69","author":"DeGroot","year":"1974","journal-title":"J Am Stat Assoc"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110404_bib0005","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1109\/JPROC.2006.887293","article-title":"Consensus and cooperation in networked multi-agent systems","volume":"95","author":"Olfati-Saber","year":"2007","journal-title":"Proc IEEE"},{"key":"10.1016\/j.cnsns.2026.110404_bib0006","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2022.106314","article-title":"Bipartite consensus for second-order multi-agent systems with external disturbances via constraint data-sampled impulsive method","volume":"109","author":"Zhou","year":"2022","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"8","key":"10.1016\/j.cnsns.2026.110404_bib0007","doi-asserted-by":"crossref","first-page":"3690","DOI":"10.1109\/TNNLS.2021.3054128","article-title":"Networked multiagent systems: antagonistic interaction, constraint, and its application","volume":"33","author":"Zhang","year":"2021","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110404_bib0008","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1109\/TCNS.2025.3649116","article-title":"Adaptive NN-based event-triggered consensus for linear multi-agent systems with uncertainties","volume":"13","author":"Zhang","year":"2026","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110404_bib0009","doi-asserted-by":"crossref","first-page":"5834","DOI":"10.1109\/TSMC.2024.3411659","article-title":"Observer-based dynamic event-triggered consensus of MIMO linear multiagent systems with directed topology","volume":"54","author":"Zhang","year":"2024","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"issue":"10","key":"10.1016\/j.cnsns.2026.110404_bib0010","doi-asserted-by":"crossref","first-page":"6051","DOI":"10.1109\/TAC.2022.3232050","article-title":"How much noise suffices for privacy of multiagent systems?","volume":"68","author":"Zhang","year":"2023","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0011","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108356","article-title":"Privacy-preserving secure control for nonlinear multi-agent systems under hybrid attacks","volume":"140","author":"Duan","year":"2025","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110404_bib0012","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/s10458-005-6825-4","article-title":"An integrated trust and reputation model for open multi-agent systems","volume":"13","author":"Huynh","year":"2006","journal-title":"Auton Agents Multi-Agent Syst"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110404_bib0013","doi-asserted-by":"crossref","first-page":"7600","DOI":"10.1109\/TAC.2024.3394349","article-title":"Random coordinate descent for resource allocation in open multi-agent systems","volume":"69","author":"de Galland","year":"2024","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0014","doi-asserted-by":"crossref","first-page":"23935","DOI":"10.1109\/TASE.2025.3629087","article-title":"Dynamic consensus of open double-integrator systems with velocity constraint","volume":"22","author":"Jiang","year":"2025","journal-title":"IEEE Trans Autom Sci Eng"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110404_bib0015","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1016\/j.automatica.2009.10.021","article-title":"Discrete-time dynamic average consensus","volume":"46","author":"Zhu","year":"2010","journal-title":"Automatica"},{"key":"10.1016\/j.cnsns.2026.110404_bib0016","series-title":"54th Annual allerton conference on communication, control, and computing (allerton)","first-page":"1094","article-title":"Open multi-agent systems: gossiping with deterministic arrivals and departures","author":"Hendrickx","year":"2016"},{"key":"10.1016\/j.cnsns.2026.110404_bib0017","series-title":"56th Annual conference on decision and control","first-page":"763","article-title":"Open multi-agent systems: gossiping with random arrivals and departures","author":"Hendrickx","year":"2017"},{"key":"10.1016\/j.cnsns.2026.110404_bib0018","series-title":"56th Annual conference on decision and control","first-page":"4753","article-title":"Max-consensus in open multi-agent systems with gossip interactions","author":"Abdelrahim","year":"2017"},{"key":"10.1016\/j.cnsns.2026.110404_bib0019","series-title":"58th Conference on decision and control","first-page":"3691","article-title":"Dynamic consensus on the median value in open multi-agent systems","author":"Dashti","year":"2019"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110404_bib0020","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1109\/LCSYS.2018.2840431","article-title":"Open multi-agent systems with discrete states and stochastic interactions","volume":"2","author":"Varma","year":"2018","journal-title":"IEEE Control Syst Lett"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110404_bib0021","doi-asserted-by":"crossref","first-page":"2326","DOI":"10.1109\/TAC.2020.3009364","article-title":"Stability of open multiagent systems and applications to dynamic consensus","volume":"66","author":"Franceschelli","year":"2020","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0022","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2022.110644","article-title":"Stability of multi-dimensional switched systems with an application to open multi-agent systems","volume":"146","author":"Xue","year":"2022","journal-title":"Automatica"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110404_bib0023","doi-asserted-by":"crossref","first-page":"1302","DOI":"10.1109\/TAC.2025.3608057","article-title":"Open distributed convex optimization","volume":"71","author":"Wu","year":"2026","journal-title":"IEEE Trans Autom Control"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110404_bib0024","doi-asserted-by":"crossref","first-page":"7461","DOI":"10.1109\/TAC.2025.3573251","article-title":"Scalability for multi-vehicle coordination with dial-a-ride application","volume":"70","author":"Zhang","year":"2025","journal-title":"IEEE Trans Autom Control"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110404_bib0025","doi-asserted-by":"crossref","first-page":"1991","DOI":"10.1109\/TAC.2023.3317728","article-title":"A sum-of-states preservation framework for open multi-agent systems with nonlinear heterogeneous coupling","volume":"69","author":"Oliva","year":"2023","journal-title":"IEEE Trans Autom Control"},{"issue":"15","key":"10.1016\/j.cnsns.2026.110404_bib0026","doi-asserted-by":"crossref","first-page":"1706","DOI":"10.1002\/rnc.1543","article-title":"Necessary and sufficient conditions for solving consensus problems of double-integrator dynamics via sampled control","volume":"20","author":"Liu","year":"2010","journal-title":"Int J Robust Nonlinear Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2025.112551","article-title":"Prescribed performance distributed event-triggered control","volume":"182","author":"Xu","year":"2025","journal-title":"Automatica"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110404_bib0028","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/TAC.2004.834113","article-title":"Consensus problems in networks of agents with switching topology and time-delays","volume":"49","author":"Olfati-Saber","year":"2004","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110404_bib0029","doi-asserted-by":"crossref","first-page":"1066","DOI":"10.1109\/TAC.2014.2305952","article-title":"Average consensus on arbitrary strongly connected digraphs with time-varying topologies","volume":"59","author":"Cai","year":"2014","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/j.cnsns.2026.110404_bib0030","doi-asserted-by":"crossref","first-page":"3481","DOI":"10.1109\/LCSYS.2022.3185419","article-title":"Distributed mode computation in open multi-agent systems","volume":"6","author":"Dashti","year":"2022","journal-title":"IEEE Control Syst Lett"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110404_bib0031","doi-asserted-by":"crossref","first-page":"2750","DOI":"10.1016\/j.automatica.2012.08.003","article-title":"Average consensus on general strongly connected digraphs","volume":"48","author":"Cai","year":"2012","journal-title":"Automatica"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110404_bib0032","doi-asserted-by":"crossref","first-page":"2361","DOI":"10.1109\/TSMC.2021.3049149","article-title":"A reset algorithm solving coordination with antagonistic reciprocity","volume":"52","author":"Zhang","year":"2021","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"10.1016\/j.cnsns.2026.110404_bib0033","series-title":"42nd Chinese control conference","first-page":"5687","article-title":"Coordination on open double-integrator multi-agent systems","author":"Jiang","year":"2023"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110404_bib0034","doi-asserted-by":"crossref","first-page":"1089","DOI":"10.1016\/j.automatica.2010.03.006","article-title":"Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems","volume":"46","author":"Yu","year":"2010","journal-title":"Automatica"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110404_bib0035","doi-asserted-by":"crossref","first-page":"2589","DOI":"10.1109\/TCSI.2022.3151310","article-title":"Active synchronization for double-integrator network systems without velocity information","volume":"69","author":"Zhang","year":"2022","journal-title":"IEEE Trans Circuits Syst I Regul Pap"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110404_bib0036","doi-asserted-by":"crossref","first-page":"1988","DOI":"10.1016\/j.automatica.2012.03.029","article-title":"Two consensus problems for discrete-time multi-agent systems with switching network topology","volume":"48","author":"Su","year":"2012","journal-title":"Automatica"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007586?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007586?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T19:57:52Z","timestamp":1784318272000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426007586"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":36,"alternative-id":["S1007570426007586"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110404","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Sum-of-values conservation on strongly connected open systems","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110404","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"110404"}}