{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T06:50:31Z","timestamp":1780987831379,"version":"3.54.1"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"13","license":[{"start":{"date-parts":[[2022,9,26]],"date-time":"2022-09-26T00:00:00Z","timestamp":1664150400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,9,26]],"date-time":"2022-09-26T00:00:00Z","timestamp":1664150400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20210635"],"award-info":[{"award-number":["BK20210635"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s00500-022-07500-2","type":"journal-article","created":{"date-parts":[[2022,9,26]],"date-time":"2022-09-26T14:02:45Z","timestamp":1664200965000},"page":"8959-8970","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Fixed-time passivity of coupled quaternion-valued neural networks with multiple delayed couplings"],"prefix":"10.1007","volume":"27","author":[{"given":"Ruoyu","family":"Wei","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinde","family":"Cao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fawaz E","family":"Alsaadi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,9,26]]},"reference":[{"key":"7500_CR1","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/j.neunet.2016.09.003","volume":"84","author":"A Abdurahman","year":"2016","unstructured":"Abdurahman A, Jiang H (2016) New results on exponential synchronization of memristor-based neural networks with discontinuous neuron activations. Neural Netw 84:161\u2013171","journal-title":"Neural Netw"},{"key":"7500_CR2","doi-asserted-by":"crossref","unstructured":"AI-Janabi S, Alkaim AF, Adel Z (2020a) An Innovative synthesis of deep learning techniques (DCapsNet DCOM) for generation electrical renewable energy from wind energy. Soft Comput 24:10943\u201310962","DOI":"10.1007\/s00500-020-04905-9"},{"key":"7500_CR3","doi-asserted-by":"crossref","unstructured":"AI-Janabi S, Alkaim AF (2020) A nifty collaborative analysis to predicting a novel tool (DRFLLS) for missing values estimation. Soft Comput 24(1):555\u2013569","DOI":"10.1007\/s00500-019-03972-x"},{"key":"7500_CR4","doi-asserted-by":"crossref","unstructured":"AI-Janabi S, Mohammad M, AI-Sultan A (2020b) A new method for prediction of air pollution based on intelligent computation. Soft Comput 24:661\u2013680","DOI":"10.1007\/s00500-019-04495-1"},{"issue":"8","key":"7500_CR5","doi-asserted-by":"publisher","first-page":"1380","DOI":"10.1109\/TAC.2007.902733","volume":"52","author":"M Arcak","year":"2007","unstructured":"Arcak M (2007) Passivity as a design tool for group coordination. IEEE Trans Auto Control 52(8):1380\u20131390","journal-title":"IEEE Trans Auto Control"},{"issue":"3","key":"7500_CR6","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1137\/S0363012997321358","volume":"38","author":"SP Bhat","year":"2000","unstructured":"Bhat SP, Bernstein DS (2000) Finite-time stability of continuous autonomous systems. Siam J Control Opt 38(3):751\u2013766","journal-title":"Siam J Control Opt"},{"key":"7500_CR7","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.neunet.2017.04.006","volume":"91","author":"X Chen","year":"2017","unstructured":"Chen X, Li Z, Song Q, Hu J, Tan Y (2017) Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties. Neural Netw 91:55\u201365","journal-title":"Neural Netw"},{"key":"7500_CR8","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/j.neunet.2018.10.011","volume":"109","author":"C Chen","year":"2019","unstructured":"Chen C, Li L, Peng H, Yang Y (2019) Fixed-time synchronization of inertial memristor-based neural networks with discrete delay. Neural Netw 109:81\u201389","journal-title":"Neural Netw"},{"key":"7500_CR9","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.neunet.2017.03.006","volume":"90","author":"X Ding","year":"2017","unstructured":"Ding X, Cao J, Alsaedi A, Hayat T (2017) Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions. Neural Netw 90:42\u201355","journal-title":"Neural Netw"},{"key":"7500_CR10","doi-asserted-by":"publisher","first-page":"108073","DOI":"10.1016\/j.ijepes.2022.108073","volume":"139","author":"G Fan","year":"2022","unstructured":"Fan G, Zhang L, Yu M, Hong W, Dong S (2022) Applications of Random forest in multivariable response surface for short-term load forecasting. Inter J Electeic Power Energy Syst 139:108073","journal-title":"Inter J Electeic Power Energy Syst"},{"issue":"11","key":"7500_CR11","doi-asserted-by":"publisher","first-page":"2099","DOI":"10.1109\/TNNLS.2014.2305440","volume":"25","author":"Z Guo","year":"2014","unstructured":"Guo Z, Wang J, Yan Z (2014) Passivity and passification of memristor-based recurrent neural networks with time-varying delays. IEEE Trans Neural Netw Learn Syst 25(11):2099\u20132109","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"1","key":"7500_CR12","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1109\/TNNLS.2020.2977099","volume":"32","author":"Z Guo","year":"2021","unstructured":"Guo Z, Wang S, Wang J (2021) Global exponential synchronization of coupled delayed memristive neural networks with reaction-diffusion terms via distributed pinning controls. IEEE Trans Neural Netw Learn Syst 32(1):105\u2013116","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7500_CR13","unstructured":"Hamilton WR (1853) Lectures quaternions. Hodges and Smith, Dublin, Republic of Ireland"},{"issue":"2","key":"7500_CR14","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1109\/TNNLS.2019.2908755","volume":"31","author":"N Li","year":"2020","unstructured":"Li N, Zheng W (2020) Passivity analysis for quaternion-valued memristor-based neural networks with time-varying delay. IEEE Trans Neural Netw Learn Syst 31(2):639\u2013650","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7500_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.neunet.2015.12.008","volume":"76","author":"L Li","year":"2016","unstructured":"Li L, Ho DWC, Cao J, Lu J (2016) Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism. Neural Netw 76:1\u201312","journal-title":"Neural Netw"},{"issue":"1","key":"7500_CR16","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1007\/s11071-016-3060-2","volume":"87","author":"Y Liu","year":"2017","unstructured":"Liu Y, Zhang D, Lu J (2017) Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Nonlinear Dyn 87(1):553\u2013565","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"7500_CR17","doi-asserted-by":"publisher","first-page":"1022","DOI":"10.1109\/TNNLS.2019.2916597","volume":"31","author":"Y Liu","year":"2020","unstructured":"Liu Y, Zheng Y, Lu J (2020) Constrained quaternion-variable convex optimization: a quaternion-valued recurrent neural network approach. IEEE Trans Neural Netw Learn Syst 31(3):1022\u20131035","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"8","key":"7500_CR18","doi-asserted-by":"publisher","first-page":"2106","DOI":"10.1109\/TAC.2011.2179869","volume":"57","author":"A Polyakov","year":"2012","unstructured":"Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Auto Control 57(8):2106\u20132110","journal-title":"IEEE Trans Auto Control"},{"issue":"10","key":"7500_CR19","doi-asserted-by":"publisher","first-page":"3995","DOI":"10.1016\/j.jfranklin.2017.03.014","volume":"354","author":"Y Sheng","year":"2017","unstructured":"Sheng Y, Zeng Z (2017) Passivity and robust passivity of stochastic reaction-diffusion neural networks with time-varying delays. J Frank Inst 354(10):3995\u20134012","journal-title":"J Frank Inst"},{"issue":"11","key":"7500_CR20","doi-asserted-by":"publisher","first-page":"5430","DOI":"10.1109\/TNNLS.2018.2801297","volume":"29","author":"Q Song","year":"2018","unstructured":"Song Q, Chen X (2018) Multistability analysis of quaternion-valued neural networks with time delays. IEEE Trans Neural Netw Learn Syst 29(11):5430\u20135440","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"3","key":"7500_CR21","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1109\/TNNLS.2012.2236355","volume":"24","author":"Y Tang","year":"2013","unstructured":"Tang Y, Wong WK (2013) Distributed synchronization of coupled neural networks via randomly occurring control. IEEE Trans Neural Netw Learn Syst 24(3):435\u2013447","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7500_CR22","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.neunet.2017.01.006","volume":"89","author":"Z Tu","year":"2017","unstructured":"Tu Z, Cao J, Alsaedi A, Hayat T (2017) Global dissipativity analysis for delayed quaternion-valued neural networks. Neural Netw 89:97\u2013104","journal-title":"Neural Netw"},{"key":"7500_CR23","doi-asserted-by":"crossref","unstructured":"Wang J, Wu H, Huang T, Ren S, Wu J (2018) Passivity and output synchronization of complex dynamical networks with fixed and adaptive coupling strength. IEEE Trans Neural Netw Learn Syst 29(2):364\u2013376","DOI":"10.1109\/TNNLS.2016.2627083"},{"issue":"4","key":"7500_CR24","doi-asserted-by":"publisher","first-page":"2049","DOI":"10.1109\/TCNS.2017.2782488","volume":"5","author":"J Wang","year":"2018","unstructured":"Wang J, Wu H, Huang T, Xu M (2018) Output synchronization in coupled neural networks with and without external disturbances. IEEE Trans Control Netw Syst 5(4):2049\u20132061","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"8","key":"7500_CR25","doi-asserted-by":"publisher","first-page":"2434","DOI":"10.1109\/TNNLS.2018.2884954","volume":"30","author":"J Wang","year":"2019","unstructured":"Wang J, Qin Z, Wu H, Huang T (2019a) Passivity and synchronization of coupled uncertain reaction-diffusion neural networks with multiple time delays. IEEE Trans Neural Netw Learn Syst 30(8):2434\u20132448","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"9","key":"7500_CR26","doi-asserted-by":"publisher","first-page":"3385","DOI":"10.1109\/TCYB.2018.2842437","volume":"49","author":"J Wang","year":"2019","unstructured":"Wang J, Zhang X, Wu H, Huang T, Wang Q (2019b) Finite-time passivity and synchronization of coupled reaction-diffusion neural networks with multiple weights. IEEE Trans Cyber 49(9):3385\u20133397","journal-title":"IEEE Trans Cyber"},{"issue":"5","key":"7500_CR27","doi-asserted-by":"publisher","first-page":"2014","DOI":"10.1109\/TCYB.2018.2882252","volume":"50","author":"J Wang","year":"2020","unstructured":"Wang J, Zhang X, Wu H, Huang T, Wang Q (2020) Finite-time passivity of adaptive coupled neural networks with undirected and directed topologies. IEEE Trans Cybern 50(5):2014\u20132025","journal-title":"IEEE Trans Cybern"},{"issue":"3","key":"7500_CR28","doi-asserted-by":"publisher","first-page":"1814","DOI":"10.1109\/TNSE.2019.2954463","volume":"7","author":"Z Wang","year":"2020","unstructured":"Wang Z, Cao J, Lu G, Abdel-Aty M (2020) Fixed-time passification analysis of interconnected memristive reaction-diffusion neural networks. IEEE Trans Netw Sci Eng 7(3):1814\u20131824","journal-title":"IEEE Trans Netw Sci Eng"},{"issue":"6","key":"7500_CR29","doi-asserted-by":"publisher","first-page":"2758","DOI":"10.1109\/TCYB.2019.2913200","volume":"50","author":"Z Wang","year":"2020","unstructured":"Wang Z, Cao J, Cai Z, Rutkowski L (2020) Anti-synchronization in fixed time for discontinuous reaction-diffusion neural networks with time-varying coefficients and time delay. IEEE Trans Cyber 50(6):2758\u20132769","journal-title":"IEEE Trans Cyber"},{"issue":"2","key":"7500_CR30","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1109\/TCYB.2019.2912336","volume":"51","author":"J Wang","year":"2021","unstructured":"Wang J, Wang D, Wu H, Huang T (2021) Output synchronization of complex dynamical networks with multiple output or output derivative couplings. IEEE Trans Cyber 51(2):927\u2013937","journal-title":"IEEE Trans Cyber"},{"key":"7500_CR31","doi-asserted-by":"publisher","unstructured":"Wang J, Wang Q, Wu H, Huang T (2020) Finite-time output synchronization and $$H_{\\infty }$$ output synchronization of coupled neural networks with multiple output couplings. IEEE Trans Cybern. https:\/\/doi.org\/10.1109\/TCYB.2020.2964592","DOI":"10.1109\/TCYB.2020.2964592"},{"key":"7500_CR32","doi-asserted-by":"crossref","unstructured":"Wang J, Zhang H, Wang Z, Shan Q (2017) Local synchronization criteria of Markovian nonlinearly coupled neural networks with uncertain and partially unknown transition rates. IEEE Trans Syst Man Cybern Syst 47(8):1953\u20131964","DOI":"10.1109\/TSMC.2016.2582543"},{"key":"7500_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.neunet.2019.01.014","volume":"113","author":"R Wei","year":"2019","unstructured":"Wei R, Cao J (2019) Fixed-time synchronization of quaternion-valued memristive neural networks with time delays. Neural Netw 113:1\u201310","journal-title":"Neural Netw"},{"issue":"1","key":"7500_CR34","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1109\/TNNLS.2011.2177671","volume":"23","author":"X Yang","year":"2012","unstructured":"Yang X, Cao J, Lu J (2012) Synchronization of Markovian coupled neural networks with nonidentical node-delays and random coupling strengths. IEEE Trans Neural Netw Learn Syst 23(1):60\u201371","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"5","key":"7500_CR35","doi-asserted-by":"publisher","first-page":"3486","DOI":"10.1137\/120897341","volume":"51","author":"X Yang","year":"2013","unstructured":"Yang X, Cao J, Yang Z (2013) Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pining-impulsive controller. Siam J Control Opt 51(5):3486\u20133510","journal-title":"Siam J Control Opt"},{"issue":"8","key":"7500_CR36","doi-asserted-by":"publisher","first-page":"3761","DOI":"10.1109\/TNNLS.2017.2740431","volume":"29","author":"W Zhang","year":"2018","unstructured":"Zhang W, Yang X, Xu C, Feng J, Li C (2018) Finite-time synchronization of discontinuous neural networks with delays and mismatched parameters. IEEE Trans Neural Netw Learn Syst 29(8):3761\u20133771","journal-title":"IEEE Trans Neural Netw Learn Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07500-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-022-07500-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07500-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T06:04:31Z","timestamp":1685340271000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-022-07500-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,26]]},"references-count":36,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["7500"],"URL":"https:\/\/doi.org\/10.1007\/s00500-022-07500-2","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,26]]},"assertion":[{"value":"8 September 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 September 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no relevant financial or non-financial interests to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"We make sure that our manuscript complies with the Ethical Rules applicable for this journal. The submitted work is original and has not been published elsewhere in any form or language.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}},{"value":"The research does not involve human participants.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}