{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T14:48:36Z","timestamp":1781621316777,"version":"3.54.5"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"21","license":[{"start":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T00:00:00Z","timestamp":1656806400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T00:00:00Z","timestamp":1656806400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61273004"],"award-info":[{"award-number":["61273004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["F2021203061"],"award-info":[{"award-number":["F2021203061"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s00521-022-07503-y","type":"journal-article","created":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T15:02:38Z","timestamp":1656860558000},"page":"19161-19179","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Preassigned\/fixed-time stochastic synchronization of complex networks via simpler nonchattering quantified adaptive control strategies"],"prefix":"10.1007","volume":"34","author":[{"given":"Meng","family":"Hou","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qiushi","family":"He","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6365-2239","authenticated-orcid":false,"given":"Yuechao","family":"Ma","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,7,3]]},"reference":[{"issue":"42","key":"7503_CR1","first-page":"430","volume":"I","author":"C Wu","year":"1995","unstructured":"Wu C, Chua L (1995) Synchronization in an array of linearly coupled dynamical systems. IEEE Trans Circuits Syst I(42):430\u2013447","journal-title":"IEEE Trans Circuits Syst"},{"issue":"51","key":"7503_CR2","doi-asserted-by":"publisher","first-page":"2491","DOI":"10.1109\/TCSI.2004.838308","volume":"I","author":"W Lu","year":"2004","unstructured":"Lu W, Chen T (2004) Synchronization of coupled connected neural networks with delays. IEEE Trans Circuits Syst I(51):2491\u20132503","journal-title":"IEEE Trans Circuits Syst"},{"key":"7503_CR3","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1016\/j.neucom.2020.08.043","volume":"419","author":"L Liu","year":"2021","unstructured":"Liu L, Ding X, Zhou W (2021) Prescribed-time cluster synchronization of uncertain complex dynamical networks with switching via pinning control. Neurocomputing 419:136\u2013147","journal-title":"Neurocomputing"},{"key":"7503_CR4","doi-asserted-by":"publisher","first-page":"1758","DOI":"10.1109\/TNNLS.2013.2294727","volume":"25","author":"W Zhang","year":"2014","unstructured":"Zhang W, Tang Y, Miao Q, Fang J (2014) Synchronization of stochastic dynamical networks under impulsive control with time delays. IEEE Trans Neural Netw Learn Syst 25:1758\u20131768","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7503_CR5","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TCYB.2018.2870133","volume":"50","author":"J Wang","year":"2020","unstructured":"Wang J, Qin Z, Wu H, Huang T (2020) Finite-Time synchronization and $${\\cal{H}}_{\\infty}$$ synchronization of multiweighted complex networks with adaptive state couplings. IEEE Trans Cybern 50:600\u2013612","journal-title":"IEEE Trans Cybern"},{"key":"7503_CR6","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2020.3028835","author":"D Yang","year":"2020","unstructured":"Yang D, Li X, Song S (2020) Finite-time synchronization for delayed complex dynamical networks with synchronizing or desynchronizing impulses. IEEE Trans Neural Netw Learn Syst. https:\/\/doi.org\/10.1109\/TNNLS.2020.3028835","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7503_CR7","doi-asserted-by":"publisher","first-page":"3631","DOI":"10.1016\/j.apm.2010.03.012","volume":"34","author":"X Yang","year":"2010","unstructured":"Yang X, Cao J (2010) Finite-time stochastic synchronization of complex networks. Appl Math Model 34:3631\u20133641","journal-title":"Appl Math Model"},{"key":"7503_CR8","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 Autom Control 57:2106\u20132110","journal-title":"IEEE Trans Autom Control"},{"key":"7503_CR9","doi-asserted-by":"publisher","first-page":"2221","DOI":"10.1109\/TSMC.2018.2876334","volume":"49","author":"J Liu","year":"2019","unstructured":"Liu J, Zhang Y, Yu Y, Sun C (2019) Fixed-time event-triggered consensus for nonlinear multiagent systems without continuous communications. IEEE Trans Syst Man Cybern 49:2221\u20132229","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"7503_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2021.02.032","author":"J Ke","year":"2021","unstructured":"Ke J, Huang W, Wang J, Zeng J (2021) Fixed-time consensus control for multi-agent systems with prescribed performance under matched and mismatched disturbances. ISA Trans. https:\/\/doi.org\/10.1016\/j.isatra.2021.02.032","journal-title":"ISA Trans"},{"key":"7503_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.neunet.2020.04.020","volume":"128","author":"J Xiao","year":"2020","unstructured":"Xiao J, Zeng Z, Wu A, Wen S (2020) Fixed-time synchronization of delayed Cohen-Grossberg neural networks based on a novel sliding mode. Neural Netw 128:1\u201312","journal-title":"Neural Netw"},{"key":"7503_CR12","doi-asserted-by":"publisher","first-page":"2470","DOI":"10.1109\/TNNLS.2020.3005945","volume":"32","author":"N Li","year":"2021","unstructured":"Li N, Wu X, Feng J, Xu Y, Lu J (2021) Fixed-time synchronization of coupled neural networks with discontinuous activation and mismatched parameters. IEEE Trans Neural Netw Learn Syst 32:2470\u20132482","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7503_CR13","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.neucom.2020.10.111","volume":"424","author":"S Jiang","year":"2021","unstructured":"Jiang S, Qi Y, Cai S, Lu X (2021) Light fixed-time control for cluster synchronization of complex networks. Neurocomputing 424:63\u201370","journal-title":"Neurocomputing"},{"key":"7503_CR14","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.3026996","author":"N Li","year":"2020","unstructured":"Li N, Wu X, Feng J, Lu J (2020) Fixed-time synchronization of complex dynamical networks: a novel and economical mechanism. IEEE Trans Cybern. https:\/\/doi.org\/10.1109\/TCYB.2020.3026996","journal-title":"IEEE Trans Cybern"},{"key":"7503_CR15","doi-asserted-by":"publisher","first-page":"2882","DOI":"10.1109\/TCYB.2020.2977934","volume":"51","author":"C Hu","year":"2021","unstructured":"Hu C, He H, Jiang H (2021) Fixed\/preassigned-time synchronization of complex networks via improving fixed-time stability. IEEE Trans Cybern 51:2882\u20132892","journal-title":"IEEE Trans Cybern"},{"key":"7503_CR16","doi-asserted-by":"publisher","first-page":"1771","DOI":"10.1109\/TCYB.2018.2882519","volume":"50","author":"X Liu","year":"2020","unstructured":"Liu X, Ho DWC, Xie C (2020) Prespecified-time cluster synchronization of complex networks via a smooth control approach. IEEE Trans Cybern 50:1771\u20131775","journal-title":"IEEE Trans Cybern"},{"key":"7503_CR17","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.neunet.2019.12.019","volume":"124","author":"W Zhang","year":"2020","unstructured":"Zhang W, Li C, Li H, Yang X (2020) Cluster stochastic synchronization of complex dynamical networks via fixed-time control scheme. Neural Netw 124:12\u201319","journal-title":"Neural Netw"},{"key":"7503_CR18","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1016\/j.neucom.2019.10.040","volume":"379","author":"J Sun","year":"2020","unstructured":"Sun J, Liu J, Wang Y, Yu Y, Sun C (2020) Fixed-time event-triggered synchronization of a multilayer Kuramoto-oscillator network. Neurocomputing 379:214\u2013226","journal-title":"Neurocomputing"},{"key":"7503_CR19","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1016\/j.neucom.2020.02.072","volume":"399","author":"F Tan","year":"2020","unstructured":"Tan F, Zhou L, Chu Y, Li Y (2020) Fixed-time stochastic outer synchronization in double-layered multi-weighted coupling networks with adaptive chattering-free control. Neurocomputing 399:8\u201317","journal-title":"Neurocomputing"},{"issue":"64","key":"7503_CR20","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1109\/TCSII.2016.2551539","volume":"II","author":"J Ni","year":"2017","unstructured":"Ni J, Liu L, Liu C, Hu X, Li S (2017) Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system. IEEE Trans Circuits Syst II(64):151\u2013155","journal-title":"IEEE Trans Circuits Syst"},{"key":"7503_CR21","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.neucom.2020.07.071","volume":"415","author":"F Ren","year":"2020","unstructured":"Ren F, Jiang M, Xu H, Li M (2020) Quasi fixed-time synchronization of memristive Cohen-Grossberg neural networks with reaction-diffusion. Neurocomputing 415:74\u201383","journal-title":"Neurocomputing"},{"key":"7503_CR22","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/j.neunet.2020.07.002","volume":"130","author":"H Ren","year":"2020","unstructured":"Ren H, Peng Z, Gu Y (2020) Fixed-time synchronization of stochastic memristor-based neural networks with adaptive control. Neural Netw 130:165\u2013175","journal-title":"Neural Netw"},{"key":"7503_CR23","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/j.neucom.2020.09.014","volume":"422","author":"F Kong","year":"2021","unstructured":"Kong F, Zhu Q, Sakthivel R, Mohammadzadeh A (2021) Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties. Neurocomputing 422:295\u2013313","journal-title":"Neurocomputing"},{"key":"7503_CR24","doi-asserted-by":"publisher","first-page":"3329","DOI":"10.1016\/j.automatica.2013.07.016","volume":"49","author":"S Liu","year":"2013","unstructured":"Liu S, Li T, Xie L, Fu M, Zhang J (2013) Continuous-time and sampled-data-based average consensus with logarithmic quantizers. Automatica 49:3329\u20133336","journal-title":"Automatica"},{"key":"7503_CR25","doi-asserted-by":"publisher","first-page":"3230","DOI":"10.1109\/TNNLS.2020.3013619","volume":"32","author":"H Bao","year":"2020","unstructured":"Bao H, Park JH, Cao J (2020) Adaptive synchronization of fractional-order output-coupling neural networks via quantized output control. IEEE Trans Neural Netw Learn Syst 32:3230\u20133239","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7503_CR26","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2021.06.013","author":"Y Wang","year":"2021","unstructured":"Wang Y, Zhou Y, Zhou J, Xia J, Wang Z (2021) Quantized control for extended dissipative synchronization of chaotic neural networks: a discretized LKF method. ISA Trans. https:\/\/doi.org\/10.1016\/j.isatra.2021.06.013","journal-title":"ISA Trans"},{"key":"7503_CR27","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/j.neucom.2020.09.074","volume":"426","author":"F Rahimi","year":"2021","unstructured":"Rahimi F, Rezaei H (2021) An event-triggered recursive state estimation approach for time-varying nonlinear complex networks with quantization effects. Neurocomputing 426:104\u2013113","journal-title":"Neurocomputing"},{"key":"7503_CR28","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/j.neucom.2019.11.096","volume":"382","author":"R Pan","year":"2020","unstructured":"Pan R, Tan Y, Du D, Fei S (2020) Adaptive event-triggered synchronization control for complex networks with quantization and cyber-attacks. Neurocomputing 382:249\u2013258","journal-title":"Neurocomputing"},{"key":"7503_CR29","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/j.neucom.2020.12.038","volume":"431","author":"J He","year":"2021","unstructured":"He J, Chen H, Ge M, Ding T, Wang L, Liang C (2021) Adaptive finite-time quantized synchronization of complex dynamical networks with quantized time-varying delayed couplings. Neurocomputing 431:90\u201399","journal-title":"Neurocomputing"},{"key":"7503_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.110853","volume":"147","author":"S Aadhithiyan","year":"2021","unstructured":"Aadhithiyan S, Raja R, Zhu Q, Alzabut J, Niezabitowski M, Lim CP (2021) Modified projective synchronization of distributive fractional order complex dynamic networks with model uncertainty via adaptive control. Chaos Solitons Fractals 147:110853","journal-title":"Chaos Solitons Fractals"},{"key":"7503_CR31","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1016\/j.neucom.2020.07.095","volume":"414","author":"W Lu","year":"2020","unstructured":"Lu W, Liu X, Chen T (2020) Adaptive algorithms for synchronization consensus of multi-agents and anti-synchronization of direct complex networks. Neurocomputing 414:365\u2013370","journal-title":"Neurocomputing"},{"key":"7503_CR32","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1006\/jmaa.1999.6435","volume":"236","author":"X Mao","year":"1999","unstructured":"Mao X (1999) Lasalle-type theorems for stochastic differential delay equations. J Math Anal Appl 236:350\u2013369","journal-title":"J Math Anal Appl"},{"key":"7503_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23280-0","volume-title":"Stochastic stability of differential equations","author":"R Khasminskii","year":"2012","unstructured":"Khasminskii R (2012) Stochastic stability of differential equations. Springer, Berlin"},{"key":"7503_CR34","doi-asserted-by":"publisher","first-page":"3099","DOI":"10.1109\/TCYB.2018.2839109","volume":"49","author":"W Zhang","year":"2019","unstructured":"Zhang W, Yang X, Li C (2019) Fixed-time stochastic synchronization of complex networks via continuous control. IEEE Trans Cybern 49:3099\u20133104","journal-title":"IEEE Trans Cybern"},{"key":"7503_CR35","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.isatra.2019.01.032","volume":"91","author":"W Zhang","year":"2019","unstructured":"Zhang W, Li H, Li C, Li Z, Yang X (2019) Fixed-time synchronization criteria for complex networks via quantized pinning control. ISA Trans 91:151\u2013156","journal-title":"ISA Trans"},{"key":"7503_CR36","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3061137","author":"D Liu","year":"2021","unstructured":"Liu D, Ye D (2021) Edge-based decentralized adaptive pinning synchronization of complex networks under link attacks. IEEE Trans Neural Netw Learn Syst. https:\/\/doi.org\/10.1109\/TNNLS.2021.3061137","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"7503_CR37","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2020.105239","volume":"85","author":"Y Xu","year":"2020","unstructured":"Xu Y, Li Y, Li W (2020) Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights. Commun Nonlinear Sci Numer Simul 85:105239","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"67","key":"7503_CR38","doi-asserted-by":"publisher","first-page":"700","DOI":"10.1109\/TCSII.2019.2920035","volume":"II","author":"Y Xu","year":"2020","unstructured":"Xu Y, Wu X, Li N, Liu L, Xie C, Li C (2020) Fixed-time synchronization of complex networks with a simpler nonchattering controller. IEEE Trans Circuits Syst II(67):700\u2013704","journal-title":"IEEE Trans Circuits Syst"},{"key":"7503_CR39","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/j.neucom.2020.07.024","volume":"414","author":"X Song","year":"2020","unstructured":"Song X, Man J, Song S, Zhang Y, Ning Z (2020) Finite\/fixed-time synchronization for Markovian complex-valued memristive neural networks with reaction-diffusion terms and its application. Neurocomputing 414:131\u2013142","journal-title":"Neurocomputing"},{"key":"7503_CR40","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.fss.2020.05.013","volume":"411","author":"X Li","year":"2021","unstructured":"Li X, Huang T (2021) Adaptive synchronization for fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays. Fuzzy Sets Syst 411:174\u2013189","journal-title":"Fuzzy Sets Syst"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-022-07503-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-022-07503-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-022-07503-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,20]],"date-time":"2022-10-20T21:35:54Z","timestamp":1666301754000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-022-07503-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,3]]},"references-count":40,"journal-issue":{"issue":"21","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["7503"],"URL":"https:\/\/doi.org\/10.1007\/s00521-022-07503-y","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,3]]},"assertion":[{"value":"17 November 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}