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Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adaptive control method, an adaptive feedback hybrid controller and parameter adaptive laws are designed to realize synchronization of uncertain chaotic systems with different dimensions. Finally, three numerical experiments are carried out to verify the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1155\/2021\/6666677","type":"journal-article","created":{"date-parts":[[2021,4,14]],"date-time":"2021-04-14T21:29:26Z","timestamp":1618435766000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Synchronization of a Class of Chaotic Systems with Different Dimensions"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6237-0168","authenticated-orcid":false,"given":"Jiming","family":"Zheng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2427-8325","authenticated-orcid":false,"given":"Juan","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,4,14]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-59281-2"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.64.821"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217731617"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40998-018-0094-0"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.optlaseng.2018.12.002"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2019.2914642"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5431987"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/3742876"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1515\/acsc-2016-0004"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2965"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.06.020"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2017.03.041"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.85.4831"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/7693547"},{"key":"e_1_2_9_15_2","first-page":"178","article-title":"Synchronization of chaotic systems with different dimensions based on adaptive control","volume":"35","author":"Gao J.","year":"2013","journal-title":"Computer Engineering and Science"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40998-017-0042-4"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.11.001"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1088\/0256-307x\/28\/11\/110507"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.07.023"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2015.10.174"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.06.006"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1515\/phys-2019-0099"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.11.063"},{"volume-title":"Nonlinear Systems","year":"2002","author":"Khalil H. 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