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The chaotic phenomenon of the fractional\u2010order chaotic Genesio\u2010Tesi model is controlled by designing two suitable time\u2010delayed feedback controllers. With the aid of Laplace transform, we obtain the characteristic equation of the controlled chaotic Genesio\u2010Tesi model. Then by regarding the time delay as the bifurcation parameter and analyzing the characteristic equation, some new sufficient criteria to guarantee the stability and the existence of Hopf bifurcation for the controlled fractional\u2010order chaotic Genesio\u2010Tesi model are derived. The research shows that when time delay remains in some interval, the equilibrium point of the controlled chaotic Genesio\u2010Tesi model is stable and a Hopf bifurcation will happen when the time delay crosses a critical value. The effect of the time delay on the stability and the existence of Hopf bifurcation for the controlled fractional\u2010order chaotic Genesio\u2010Tesi model is shown. At last, computer simulations check the rationalization of the obtained theoretical prediction. The derived key results in this paper play an important role in controlling the chaotic behavior of many other differential chaotic systems.<\/jats:p>","DOI":"10.1155\/2019\/4678394","type":"journal-article","created":{"date-parts":[[2019,9,30]],"date-time":"2019-09-30T02:01:18Z","timestamp":1569808878000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Control Scheme for a Fractional\u2010Order Chaotic Genesio\u2010Tesi Model"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5844-2985","authenticated-orcid":false,"given":"Changjin","family":"Xu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5545-6185","authenticated-orcid":false,"given":"Peiluan","family":"Li","sequence":"additional","affiliation":[]},{"given":"Maoxin","family":"Liao","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1674-033X","authenticated-orcid":false,"given":"Zixin","family":"Liu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1764-0488","authenticated-orcid":false,"given":"Qimei","family":"Xiao","sequence":"additional","affiliation":[]},{"given":"Shuai","family":"Yuan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,9,29]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.04.024"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.64.1196"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2003.10.026"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0960-0779(01)00127-8"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0960-0779(02)00659-8"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0960-0779(98)00328-2"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2017.10.008"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.02.017"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2017.01.025"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2015.04.001"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2016.05.004"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2015.05.028"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.09.078"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.04.031"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2019.04.026"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2019.01.002"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10665-014-9730-5"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.10.030"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-04758-w"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(92)90177-h"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.5402\/2012\/843962"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2009.07.025"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/76\/6\/004"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0217984909020059"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.09.033"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.04.057"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.7498\/aps.60.048901"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2016.10.015"},{"key":"e_1_2_9_29_2","volume-title":"Fractional Differential Equations","author":"Podlubny I.","year":"1999"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-08621-7"},{"key":"e_1_2_9_31_2","unstructured":"MatignonD. 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