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Thirdly, by constructing the Lyapunov function and utilizing the Razumikhin-type stability theorem, the asymptotic stability of zero solution for the error system is verified, and some sufficient conditions are achieved to ensure the global asymptotic synchronization of studied neural networks. Finally, some numerical simulations are given to show the availability and feasibility of our obtained results.&lt;\/p&gt;\n&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023013","type":"journal-article","created":{"date-parts":[[2022,12,26]],"date-time":"2022-12-26T08:25:57Z","timestamp":1672043157000},"page":"341-358","source":"Crossref","is-referenced-by-count":1,"title":["Synchronization of nonautonomous neural networks with Caputo derivative and time delay"],"prefix":"10.3934","volume":"18","author":[{"given":"Lili","family":"Jia","sequence":"first","affiliation":[{"name":"Dianchi College of Yunnan University, Kunming, Yunnan 650228, P.R. China"}]},{"given":"Changyou","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China"}]},{"given":"Zongxin","family":"Lei","sequence":"additional","affiliation":[{"name":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China"}]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2023013-1","doi-asserted-by":"publisher","unstructured":"Q. Song, Synchronization analysis of coupled connected neural networks with mixed time delays,  <i>Neurocomputing.<\/i>,  <b>72<\/b> (2009), 3907\u20133914. https:\/\/doi.org\/10.1016\/j.neucom.2009.04.009","DOI":"10.1016\/j.neucom.2009.04.009"},{"key":"key-10.3934\/nhm.2023013-2","doi-asserted-by":"publisher","unstructured":"H. Bao, J. H. Park, J. Cao, Adaptive synchronization of fractional-order memristor-based neural networks with time delay,  <i>Nonlinear. 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