{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:47Z","timestamp":1740103727570,"version":"3.37.3"},"reference-count":18,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T00:00:00Z","timestamp":1578441600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761050","11361043","20161BAB201008"],"award-info":[{"award-number":["11761050","11361043","20161BAB201008"]}],"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":["11761050","11361043","20161BAB201008"],"award-info":[{"award-number":["11761050","11361043","20161BAB201008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004479","name":"Natural Science Foundation of Jiangxi Province","doi-asserted-by":"publisher","award":["11761050","11361043","20161BAB201008"],"award-info":[{"award-number":["11761050","11361043","20161BAB201008"]}],"id":[{"id":"10.13039\/501100004479","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,1,8]]},"abstract":"<jats:p>This paper studies the control of a class of 3D chaotic systems with uncertain parameters and external disturbances. A new method which is referred as the analytical solution approach is firstly proposed for constructing Lyapunov function. Then, for suppressing the trajectories of the 3D chaotic system to its equilibrium point <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mn>0<\/mml:mn><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>0,0,0<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>, a novel fast convergence controller containing parameter <jats:italic>\u03bb<\/jats:italic> which determines the convergence rate of the system is presented. By using the designed Lyapunov function, the stability of the closed-loop system is proved via the Lyapunov stability theorem. Computer simulations are employed to a new chaotic system to illustrate the effectiveness of the theoretical results.<\/jats:p>","DOI":"10.1155\/2020\/7613970","type":"journal-article","created":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T18:32:50Z","timestamp":1578508370000},"page":"1-9","source":"Crossref","is-referenced-by-count":1,"title":["A Novel Fast Convergence Control Scheme for a Class of 3D Chaotic Systems with Uncertain Parameters and External Disturbances"],"prefix":"10.1155","volume":"2020","author":[{"given":"Haipeng","family":"Su","sequence":"first","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7001-4713","authenticated-orcid":true,"given":"Runzi","family":"Luo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}]},{"given":"Ling","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}]},{"given":"Meichun","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}]},{"given":"Jiaojiao","family":"Fu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.12.034"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cjph.2018.06.017"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.3390\/e17085580"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-018-0118-6"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2018.5661"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.03.032"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2540"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5431987"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2017.11.032"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.02.042"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.09.076"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2016.06.011"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.01.014"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.05.005"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/4989520"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2019.2938754"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2016.2640950"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2009.07.088"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7613970.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7613970.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7613970.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T18:32:53Z","timestamp":1578508373000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/7613970\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,8]]},"references-count":18,"alternative-id":["7613970","7613970"],"URL":"https:\/\/doi.org\/10.1155\/2020\/7613970","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,1,8]]}}}