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There has been a plenty of interesting results on fractional\u2010order chaotic systems or integer\u2010order delayed chaotic systems, but the problem of synchronization of fractional\u2010order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional\u2010order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional\u2010order chaotic systems. With the help of stability theory of linear fractional\u2010order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional\u2010order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.<\/jats:p>","DOI":"10.1155\/2019\/5184032","type":"journal-article","created":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T23:31:09Z","timestamp":1573169469000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Combination Synchronization of Three Different Fractional\u2010Order Delayed Chaotic Systems"],"prefix":"10.1155","volume":"2019","author":[{"given":"Bo","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1983-0971","authenticated-orcid":false,"given":"Xiaobing","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Yun","family":"Wang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,11,7]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1119\/1.13295"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0005-1098(03)00167-5"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-1912-9"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2018.2850157"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2019.05.014"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.11.020"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2019.2915353"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.08.015"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.07.013"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3328-1"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.04.057"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.3390\/e17064202"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2013.07.004"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-012-0291-8"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.09.077"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.3655366"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-017-1385-0"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.4041033"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2015.09.107"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.3390\/e17085199"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1109\/jas.2016.7510145"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1109\/jas.2016.7451103"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2016-02610-3"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2453-y"},{"key":"e_1_2_9_25_2","volume-title":"Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications","author":"Podlubny I.","year":"1999"},{"key":"e_1_2_9_26_2","volume-title":"Fractional Integrals and Derivatives: Theory and Applications","author":"Samko S. 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