{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T16:23:33Z","timestamp":1769185413291,"version":"3.49.0"},"reference-count":33,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T00:00:00Z","timestamp":1662681600000},"content-version":"vor","delay-in-days":251,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62072164"],"award-info":[{"award-number":["62072164"]}],"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":["11704109"],"award-info":[{"award-number":["11704109"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>In this paper, we study the synchronization of a class of multiple neural networks (MNNs) with delay and directed disconnected switching topology based on state observer via impulsive coupling control. The coupling topology is connected sequentially, and the controller adjusts the state value through event\u2010triggering strategies. Different from the related works on MNNs, its state in this paper is assumed to be unmeasurable, and the time delay is also unmeasurable. Therefore, the observer does not contain the time\u2010delay term. The impulsive switching controller and observer controller adjust the system through the observed value. By constructing the corresponding augmented matrix, the system can finally achieve quasi\u2010synchronization (synchronization). Through derivation, we give the sufficient conditions ensuring quasi\u2010synchronization (synchronization) via the event\u2010triggered impulse control mechanism. In addition, numerical simulation examples are given to test our results of the theorem.<\/jats:p>","DOI":"10.1155\/2022\/4038598","type":"journal-article","created":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T15:27:51Z","timestamp":1662737271000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Observer\u2010Based Synchronization and Quasi\u2010Synchronization for Multiple Neural Networks with Time\u2010Varying Delays"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2928-6703","authenticated-orcid":false,"given":"Biwen","family":"Li","sequence":"first","affiliation":[]},{"given":"Donglun","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jingjing","family":"Huang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2022,9,9]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"crossref","unstructured":"PipattanasompornM. FerozeH. andRahmanS. Multi-agent systems in a distributed smart grid: design and implementation Proceedings of the 2009 IEEE\/PES Power Systems Conference and Exposition 15-18 March 2009 Seattle WA USA IEEE 1\u20138 https:\/\/doi.org\/10.1109\/PSCE.2009.4840087 2-s2.0-70349180677.","DOI":"10.1109\/PSCE.2009.4840087"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecoinf.2009.08.003"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.robot.2007.08.005"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2004.834433"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.09.005"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/23\/12\/120201"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.11.038"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/tcsi.2011.2131230"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmcb.2010.2045891"},{"key":"e_1_2_9_10_2","article-title":"Global asymptotic synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays","volume":"78","author":"Ali M. S.","year":"2019","journal-title":"Communications in Nonlinear Science and Numerical Simulation"},{"key":"e_1_2_9_11_2","doi-asserted-by":"crossref","unstructured":"KiranyazS. InceT. andAbdeljaberO. 1-d convolutional neural networks for signal processing applications Proceedings of the ICASSP 2019-2019 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP) 12-17 May 2019 Brighton UK IEEE 8360\u20138364 https:\/\/doi.org\/10.1109\/ICASSP.2019.8682194 2-s2.0-85068995333.","DOI":"10.1109\/ICASSP.2019.8682194"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmatprotec.2005.04.123"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2017.2705113"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109081"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2018.2884620"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.03.033"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2021.01.013"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2022.02.023"},{"key":"e_1_2_9_19_2","first-page":"1","article-title":"Event-based synchronization for multiple neural networks with time delay and switching disconnected topology","volume":"99","author":"Chen J.","year":"2020","journal-title":"IEEE Transactions on Cybernetics"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.11.013"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.03.013"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2020.0750"},{"key":"e_1_2_9_23_2","first-page":"341","article-title":"Event-triggered cooperative control of vehicle platoons in vehicular ad hoc networks","author":"Wen S.","year":"2018","journal-title":"Information ences"},{"key":"e_1_2_9_24_2","first-page":"723","article-title":"Event-triggered protocol for the consensus of multi-agent systems with state-dependent nonlinear coupling[J]","volume":"65","author":"Qiang J.","year":"2017","journal-title":"IEEE Transactions on Circuits and Systems I: Regular Papers"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2021.3123058"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2020.12.001"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.01.008"},{"key":"e_1_2_9_28_2","first-page":"1","article-title":"An analysis and design for time-varying structures dynamical networks via state constraint impulsive control","author":"Li L.","year":"2018","journal-title":"International Journal of Control"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.10.021"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2942603"},{"key":"e_1_2_9_31_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2012.0998"},{"key":"e_1_2_9_32_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2011.2165545"},{"key":"e_1_2_9_33_2","doi-asserted-by":"crossref","unstructured":"RaffT.andAllgowerF. Observers with impulsive dynamical behavior for linear and nonlinear continuous-time systems Proceedings of the 2007 46th IEEE conference on decision and control 12-14 December 2007 New Orleans LA USA IEEE 4287\u20134292.","DOI":"10.1109\/CDC.2007.4434613"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2022\/4038598","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1155\/2022\/4038598","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2022\/4038598","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T21:09:01Z","timestamp":1769116141000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2022\/4038598"}},"subtitle":[],"editor":[{"given":"Miaomiao","family":"Wang","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2022,1]]},"references-count":33,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["10.1155\/2022\/4038598"],"URL":"https:\/\/doi.org\/10.1155\/2022\/4038598","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1]]},"assertion":[{"value":"2022-03-28","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-06-24","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-09-09","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"4038598"}}