{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T21:01:08Z","timestamp":1771102868339,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2014,12,1]],"date-time":"2014-12-01T00:00:00Z","timestamp":1417392000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11471150, 61304173, 41465002"],"award-info":[{"award-number":["11471150, 61304173, 41465002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2013M531107"],"award-info":[{"award-number":["2013M531107"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Liaoning Educational Committee","award":["13-1069"],"award-info":[{"award-number":["13-1069"]}]},{"name":"the Fundamental Research Funds for the Central Universities","award":["31920130003"],"award-info":[{"award-number":["31920130003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques and an adaptive control method, a simple adaptive synchronization controller and parameter update laws are designed to synchronize two uncertain complex networks with time delays. Besides, the system parameters in the uncertain network can be identified in the process of synchronization. To demonstrate the validity of the proposed method, several illustrative examples are presented.<\/jats:p>","DOI":"10.3390\/e16126286","type":"journal-article","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T02:07:08Z","timestamp":1417486028000},"page":"6286-6299","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays"],"prefix":"10.3390","volume":"16","author":[{"given":"Weiyuan","family":"Ma","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China"},{"name":"School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 73000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changpin","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai University, Shanghai 200444, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yujiang","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongqing","family":"Wu","sequence":"additional","affiliation":[{"name":"Basic Teaching Department, Liaoning Technical University, Huludao 125105, China"},{"name":"Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai 200433, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2014,12,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","article-title":"Neural networks and physical systems with emergent collective computational abilities","volume":"79","author":"Hopfield","year":"1982","journal-title":"Proc. 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