{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T14:22:28Z","timestamp":1778768548088,"version":"3.51.4"},"reference-count":39,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"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","award":["61305076"],"award-info":[{"award-number":["61305076"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.neucom.2026.133712","type":"journal-article","created":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T15:24:51Z","timestamp":1776525891000},"page":"133712","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Neurodynamic approaches for distributed constrained optimization problems with time-varying cost functions"],"prefix":"10.1016","volume":"686","author":[{"given":"Luke","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiaokun","family":"Kang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanlong","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-4528","authenticated-orcid":false,"given":"Qintao","family":"Gan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.neucom.2026.133712_bib0005","doi-asserted-by":"crossref","first-page":"3886","DOI":"10.1109\/TETCI.2024.3377672","article-title":"A fixed-time robust ZNN model with adaptive parameters for redundancy resolution of manipulators","volume":"8","author":"Cao","year":"2024","journal-title":"IEEE Trans. Emerg. Top. Comput. Intell."},{"key":"10.1016\/j.neucom.2026.133712_bib0010","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1109\/TSMC.2020.3005169","article-title":"Initialization-free distributed fixed-time convergent algorithms for optimal resource allocation","volume":"52","author":"Chen","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0015","doi-asserted-by":"crossref","first-page":"3627","DOI":"10.1109\/TVT.2024.3498892","article-title":"Fully distributed prescribed-time optimization with time-varying cost function","volume":"74","author":"Chen","year":"2025","journal-title":"IEEE Trans. Veh. Technol."},{"key":"10.1016\/j.neucom.2026.133712_bib0020","doi-asserted-by":"crossref","first-page":"11314","DOI":"10.1016\/j.jfranklin.2023.08.008","article-title":"Time-varying distributed optimization problem with inequality constraints","volume":"360","author":"Chen","year":"2023","journal-title":"J. Frankl. Inst."},{"key":"10.1016\/j.neucom.2026.133712_bib0025","doi-asserted-by":"crossref","first-page":"3381","DOI":"10.1109\/TAC.2023.3338748","article-title":"Prescribed time consensus control of multiagent systems with minimized time-varying cost function","volume":"69","author":"Cui","year":"2024","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0030","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1109\/TII.2020.2981549","article-title":"Distributed resilient control for energy storage systems in cyber-physical microgrids","volume":"17","author":"Deng","year":"2021","journal-title":"IEEE Trans. Ind. Inform."},{"key":"10.1016\/j.neucom.2026.133712_bib0035","series-title":"Practical Methods of Optimization","author":"Fletcher","year":"1987"},{"key":"10.1016\/j.neucom.2026.133712_bib0040","doi-asserted-by":"crossref","first-page":"2002","DOI":"10.1109\/TAC.2020.3001436","article-title":"Fixed-time stable gradient flows: applications to continuous-time optimization","volume":"66","author":"Garg","year":"2021","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0045","first-page":"3086","article-title":"Distributed fixed-time optimization with time-varying cost: zero-gradient-sum scheme","volume":"71","author":"Guo","year":"2024","journal-title":"IEEE Trans. Circuits Syst. II: Exp. Briefs"},{"key":"10.1016\/j.neucom.2026.133712_bib0050","doi-asserted-by":"crossref","first-page":"2656","DOI":"10.1109\/TAI.2025.3556095","article-title":"Distributed fixed-time algorithms for time-varying constrained optimization problems","volume":"6","author":"He","year":"2025","journal-title":"IEEE Trans. Artif. Intell."},{"key":"10.1016\/j.neucom.2026.133712_bib0055","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.neucom.2018.01.082","article-title":"Distributed finite-time optimization for second order continuous-time multiple agents systems with time-varying cost function","volume":"287","author":"Hu","year":"2018","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133712_bib0060","doi-asserted-by":"crossref","first-page":"2615","DOI":"10.1109\/TNNLS.2015.2497715","article-title":"Integration-enhanced zhang neural network for real-time-varying matrix inversion in the presence of various kinds of noises","volume":"27","author":"Jin","year":"2016","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0065","doi-asserted-by":"crossref","first-page":"10031","DOI":"10.1109\/TII.2024.3383508","article-title":"A neurodynamic approach for solving time-dependent nonlinear equation system: a distributed optimization perspective","volume":"20","author":"Li","year":"2024","journal-title":"IEEE Trans. Ind. Inform."},{"key":"10.1016\/j.neucom.2026.133712_bib0070","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.neunet.2023.11.067","article-title":"Distributed time-varying optimization control protocol for multi-agent systems via finite-time consensus approach","volume":"171","author":"Li","year":"2024","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.133712_bib0075","doi-asserted-by":"crossref","first-page":"2348","DOI":"10.1109\/TAC.2012.2184199","article-title":"Zero-gradient-sum algorithms for distributed convex optimization: the continuous-time case","volume":"57","author":"Lu","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0080","doi-asserted-by":"crossref","first-page":"4320","DOI":"10.1109\/TCYB.2022.3163623","article-title":"Distributed fixed\/preassigned-time optimization based on piecewise power-law design","volume":"53","author":"Ma","year":"2023","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.133712_bib0085","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1109\/TAC.2008.2009515","article-title":"Distributed subgradient methods for multi-agent optimization","volume":"54","author":"Nedic","year":"2009","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0090","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1109\/TCYB.2017.2766762","article-title":"Distributed optimization for multiagent systems: an edge-based fixed-time consensus approach","volume":"49","author":"Ning","year":"2019","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.133712_bib0095","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1090\/S0025-5718-1980-0572855-7","article-title":"Updating quasi-newton matrices with limited storage","volume":"35","author":"Nocedal","year":"1980","journal-title":"Math. Comput."},{"key":"10.1016\/j.neucom.2026.133712_bib0100","doi-asserted-by":"crossref","first-page":"7905","DOI":"10.1109\/LRA.2023.3324593","article-title":"Formation reconfiguration control with collision avoidance of nonholonomic mobile robots","volume":"8","author":"Park","year":"2023","journal-title":"IEEE Robot. Autom. Lett."},{"key":"10.1016\/j.neucom.2026.133712_bib0105","doi-asserted-by":"crossref","first-page":"1590","DOI":"10.1109\/TAC.2016.2593899","article-title":"Distributed continuous-time convex optimization with time-varying cost functions","volume":"62","author":"Rahili","year":"2017","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0110","doi-asserted-by":"crossref","first-page":"3822","DOI":"10.1109\/TAC.2023.3335004","article-title":"Dynamical system approach for time-varying constrained convex optimization problems","volume":"69","author":"Raveendran","year":"2024","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0115","first-page":"1","article-title":"Prescribed-time event-triggered distributed optimization with privacy protection over directed networks","author":"Shi","year":"2025","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0120","doi-asserted-by":"crossref","first-page":"3223","DOI":"10.1109\/LCSYS.2023.3312297","article-title":"Finite-time convergent algorithms for time-varying distributed optimization","volume":"7","author":"Shi","year":"2023","journal-title":"IEEE Control Syst. Lett."},{"key":"10.1016\/j.neucom.2026.133712_bib0125","doi-asserted-by":"crossref","first-page":"3824","DOI":"10.1109\/TSMC.2025.3547335","article-title":"Extended zero-gradient-sum approach for constrained distributed optimization with free initialization","volume":"55","author":"Shi","year":"2025","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0130","doi-asserted-by":"crossref","DOI":"10.1016\/j.knosys.2023.110633","article-title":"Non-convex activated zeroing neural network model for solving time-varying nonlinear minimization problems with finite-time convergence","volume":"274","author":"Si","year":"2023","journal-title":"Knowl.-based Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0135","first-page":"3931","article-title":"Distributed continuous-time algorithms for time-varying constrained convex optimization","volume":"68","author":"Sun","year":"2023","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.133712_bib0140","doi-asserted-by":"crossref","first-page":"4703","DOI":"10.1109\/TNNLS.2024.3373040","article-title":"A predefined-time adaptive zeroing neural network for solving time-varying linear equations and its application to UR5 robot","volume":"36","author":"Tang","year":"2025","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0145","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1109\/LCSYS.2020.3004764","article-title":"Distributed time-varying resource allocation optimization based on finite-time consensus approach","volume":"5","author":"Wang","year":"2021","journal-title":"IEEE Control Syst. Lett."},{"key":"10.1016\/j.neucom.2026.133712_bib0150","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2020.109289","article-title":"A distributed fixed-time optimization algorithm for multi-agent systems","volume":"122","author":"Wang","year":"2020","journal-title":"Automatica"},{"key":"10.1016\/j.neucom.2026.133712_bib0155","doi-asserted-by":"crossref","first-page":"4569","DOI":"10.1109\/TSMC.2021.3098641","article-title":"Designing zero-gradient-sum protocols for finite-time distributed optimization problem","volume":"52","author":"Wu","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0160","series-title":"Zeroing Neural Networks: Finite-Time Convergence Design, Analysis and Applications","author":"Xiao","year":"2023"},{"key":"10.1016\/j.neucom.2026.133712_bib0165","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.neucom.2020.07.040","article-title":"Design and application of a robust zeroing neural network to kinematical resolution of redundant manipulators under various external disturbances","volume":"415","author":"Xiao","year":"2020","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133712_bib0170","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/j.neunet.2019.05.005","article-title":"A new noise-tolerant and predefined-time ZNN model for time-dependent matrix inversion","volume":"117","author":"Xiao","year":"2019","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.133712_bib0175","doi-asserted-by":"crossref","DOI":"10.1016\/j.ast.2024.109034","article-title":"Distributed time-varying optimization with coupled constraints: application in UAV swarm predefined-time cooperative consensus","volume":"147","author":"Yang","year":"2024","journal-title":"Aerosp. Sci. Technol."},{"key":"10.1016\/j.neucom.2026.133712_bib0180","doi-asserted-by":"crossref","first-page":"4140","DOI":"10.1109\/TNSE.2025.3569300","article-title":"A distributed fixed-time neurodynamic algorithm and its application in multi-autonomous underwater vehicle collaborative escorting","volume":"12","author":"Zhang","year":"2025","journal-title":"IEEE Trans. Netw. Sci. Eng."},{"key":"10.1016\/j.neucom.2026.133712_bib0185","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1109\/TCNS.2023.3332771","article-title":"Continuous distributed robust optimization of multiagent systems with time-varying cost","volume":"11","author":"Zhang","year":"2024","journal-title":"IEEE Trans. Control Netw. Syst."},{"key":"10.1016\/j.neucom.2026.133712_bib0190","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1109\/TCYB.2024.3498323","article-title":"Balance of communication and convergence: predefined-time distributed optimization based on zero-gradient-sum","volume":"55","author":"Zhang","year":"2025","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.133712_bib0195","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1109\/TAC.2023.3282065","article-title":"A specified-time convergent multiagent system for distributed optimization with a time-varying objective function","volume":"69","author":"Zheng","year":"2024","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226011094?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226011094?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T13:54:55Z","timestamp":1778766895000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231226011094"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":39,"alternative-id":["S0925231226011094"],"URL":"https:\/\/doi.org\/10.1016\/j.neucom.2026.133712","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Neurodynamic approaches for distributed constrained optimization problems with time-varying cost functions","name":"articletitle","label":"Article Title"},{"value":"Neurocomputing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.neucom.2026.133712","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":"133712"}}