{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T16:51:39Z","timestamp":1786121499368,"version":"build-2736575974"},"reference-count":34,"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","award":["62366034"],"award-info":[{"award-number":["62366034"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62506048"],"award-info":[{"award-number":["62506048"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62506239"],"award-info":[{"award-number":["62506239"]}],"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":[[2026,11]]},"DOI":"10.1016\/j.neucom.2026.134674","type":"journal-article","created":{"date-parts":[[2026,7,29]],"date-time":"2026-07-29T23:26:17Z","timestamp":1785367577000},"page":"134674","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A quadratic programming perspective on neural network synchronization control"],"prefix":"10.1016","volume":"702","author":[{"given":"Yuting","family":"Cao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6310-1533","authenticated-orcid":false,"given":"Boqian","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shiping","family":"Wen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tingwen","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.neucom.2026.134674_bib0005","doi-asserted-by":"crossref","first-page":"908","DOI":"10.1109\/LCSYS.2021.3087443","article-title":"Safe controller synthesis with tunable input-to-state safe control barrier functions","volume":"6","author":"Alan","year":"2022","journal-title":"IEEE Control Syst. Lett."},{"key":"10.1016\/j.neucom.2026.134674_bib0010","doi-asserted-by":"crossref","first-page":"3861","DOI":"10.1109\/TAC.2016.2638961","article-title":"Control barrier function based quadratic programs for safety critical systems","volume":"62","author":"Ames","year":"2017","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.134674_bib0015","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1016\/0362-546X(83)90049-4","article-title":"Stabilization with relaxed controls. Nonlinear analysis: theory","volume":"7","author":"Artstein","year":"1983","journal-title":"Methods Appl."},{"key":"10.1016\/j.neucom.2026.134674_bib0020","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/j.automatica.2019.01.023","article-title":"Stable Gaussian process based tracking control of Euler\u2013Lagrange systems","volume":"103","author":"Beckers","year":"2019","journal-title":"Automatica"},{"key":"10.1016\/j.neucom.2026.134674_bib0025","doi-asserted-by":"crossref","first-page":"2696","DOI":"10.1109\/TNNLS.2015.2512849","article-title":"Impulsive synchronization of reaction\u2013diffusion neural networks with mixed delays and its application to image encryption","volume":"27","author":"Chen","year":"2016","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0030","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.neucom.2022.10.020","article-title":"A survey of recent advances on stability analysis, state estimation and synchronization control for neural networks","volume":"515","author":"Chen","year":"2023","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.134674_bib0035","author":"Choi"},{"key":"10.1016\/j.neucom.2026.134674_bib0040","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.neunet.2022.09.025","article-title":"Practical synchronization of neural networks with delayed impulses and external disturbance via hybrid control","volume":"157","author":"Dong","year":"2023","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.134674_bib0045","series-title":"Proceedings of 35th IEEE Conference on Decision and Control","first-page":"3926","article-title":"Control Lyapunov functions: new ideas from an old source","volume":"vol. 4","author":"Freeman","year":"1996"},{"key":"10.1016\/j.neucom.2026.134674_bib0050","doi-asserted-by":"crossref","first-page":"1365","DOI":"10.1137\/S0363012993258732","article-title":"Inverse optimality in robust stabilization","volume":"34","author":"Freeman","year":"1996","journal-title":"SIAM J. Control Optim."},{"key":"10.1016\/j.neucom.2026.134674_bib0055","series-title":"2023 International Conference on Neuromorphic Computing (ICNC)","first-page":"521","article-title":"Disturbance observer-based robust safety-critical control of nonlinear systems with external disturbances","author":"Han","year":"2023"},{"key":"10.1016\/j.neucom.2026.134674_bib0060","first-page":"1","article-title":"Safe formation control of uncertain multiagent systems from a Bayesian perspective","author":"Li","year":"2024","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.134674_bib0065","doi-asserted-by":"crossref","first-page":"584","DOI":"10.1109\/JAS.2023.123075","article-title":"A survey on the control Lyapunov function and control barrier function for nonlinear-affine control systems","volume":"10","author":"Li","year":"2023","journal-title":"IEEE\/CAA J. Autom. Sin."},{"key":"10.1016\/j.neucom.2026.134674_bib0070","doi-asserted-by":"crossref","first-page":"1460","DOI":"10.1109\/TNNLS.2020.2984770","article-title":"Impulsive synchronization of unbounded delayed inertial neural networks with actuator saturation and sampled-data control and its application to image encryption","volume":"32","author":"Li","year":"2021","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0075","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1109\/TSMC.2020.3002960","article-title":"Exponential stabilization of delayed inertial memristive neural networks via aperiodically intermittent control strategy","volume":"52","author":"Liu","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0080","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.neunet.2020.08.023","article-title":"Dynamic event-based state estimation for delayed artificial neural networks with multiplicative noises: a gain-scheduled approach","volume":"132","author":"Liu","year":"2020","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.134674_bib0085","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/21642583.2020.1836526","article-title":"Human face recognition based on convolutional neural network and augmented dataset","volume":"9","author":"Lu","year":"2021","journal-title":"Syst. Sci. Control Eng."},{"key":"10.1016\/j.neucom.2026.134674_bib0090","doi-asserted-by":"crossref","first-page":"2758","DOI":"10.1109\/78.650102","article-title":"Comparing support vector machines with Gaussian kernels to radial basis function classifiers","volume":"45","author":"Scholkopf","year":"1997","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/j.neucom.2026.134674_bib0095","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1109\/TCYB.2018.2877410","article-title":"Adaptive synchronization of reaction\u2013diffusion neural networks and its application to secure communication","volume":"50","author":"Shanmugam","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.134674_bib0100","doi-asserted-by":"crossref","first-page":"3005","DOI":"10.1109\/TCYB.2017.2691733","article-title":"Synchronization of reaction\u2013diffusion neural networks with dirichlet boundary conditions and infinite delays","volume":"47","author":"Sheng","year":"2017","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.134674_bib0105","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/0167-6911(89)90028-5","volume":"13","year":"1989","journal-title":"Syst. Control Lett."},{"key":"10.1016\/j.neucom.2026.134674_bib0110","first-page":"203","article-title":"On characterizations of input-to-state stability with respect to compact sets","year":"1995"},{"key":"10.1016\/j.neucom.2026.134674_bib0115","doi-asserted-by":"crossref","first-page":"8898","DOI":"10.1007\/s10489-022-03379-6","article-title":"Sampled-data control for synchronization of Markovian jumpingneural networks with packet dropout","volume":"53","author":"Wang","year":"2023","journal-title":"Appl. Intell."},{"key":"10.1016\/j.neucom.2026.134674_bib0120","doi-asserted-by":"crossref","first-page":"2049","DOI":"10.1109\/TCNS.2017.2782488","article-title":"Output synchronization in coupled neural networks with and without external disturbances","volume":"5","author":"Wang","year":"2018","journal-title":"IEEE Trans. Control Netw. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0125","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1109\/TNNLS.2014.2361776","article-title":"Adaptive synchronization of memristor-based neural networks with time-varying delays","volume":"26","author":"Wang","year":"2015","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0130","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1109\/TCYB.2020.2983481","article-title":"Periodic event-triggered synchronization of multiple memristive neural networks with switching topologies and parameter mismatch","volume":"51","author":"Wang","year":"2021","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.134674_bib0135","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1109\/TNN.2004.841813","article-title":"State estimation for delayed neural networks","volume":"16","author":"Wang","year":"2005","journal-title":"IEEE Trans. Neural Netw."},{"key":"10.1016\/j.neucom.2026.134674_bib0140","doi-asserted-by":"crossref","first-page":"2334","DOI":"10.1109\/TNNLS.2016.2580609","article-title":"Synchronization of switched neural networks with communication delays via the event-triggered control","volume":"28","author":"Wen","year":"2017","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0145","series-title":"Gaussian Processes for Machine Learning. 3","author":"Williams","year":"2006"},{"key":"10.1016\/j.neucom.2026.134674_bib0150","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.neunet.2017.05.003","article-title":"Pinning synchronization of memristor-based neural networks with time-varying delays","volume":"93","author":"Yang","year":"2017","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.134674_bib0155","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1109\/TNNLS.2014.2317880","article-title":"A comprehensive review of stability analysis of continuous-time recurrent neural networks","volume":"25","author":"Zhang","year":"2014","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134674_bib0160","doi-asserted-by":"crossref","first-page":"1824","DOI":"10.1016\/j.neucom.2015.09.058","article-title":"Synchronization of master\u2013slave neural networks with a decentralized event triggered communication scheme","volume":"173","author":"Zhang","year":"2016","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.134674_bib0165","series-title":"2020 59th IEEE Conference on Decision and Control (CDC)","first-page":"3353","article-title":"Adaptive robust quadratic programs using control Lyapunov and barrier functions","author":"Zhao","year":"2020"},{"key":"10.1016\/j.neucom.2026.134674_bib0170","doi-asserted-by":"crossref","first-page":"1493","DOI":"10.1002\/rnc.7041","article-title":"Resilient adaptive event-triggered synchronization control of piecewise-homogeneous Markov jump delayed neural networks under aperiodic DoS attacks","volume":"34","author":"Zhao","year":"2024","journal-title":"Int. J. Robust Nonlinear Control"}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226020722?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226020722?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T05:05:16Z","timestamp":1786079116000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231226020722"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":34,"alternative-id":["S0925231226020722"],"URL":"https:\/\/doi.org\/10.1016\/j.neucom.2026.134674","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A quadratic programming perspective on neural network synchronization control","name":"articletitle","label":"Article Title"},{"value":"Neurocomputing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.neucom.2026.134674","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":"134674"}}