{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:59:53Z","timestamp":1753887593704,"version":"3.41.2"},"reference-count":36,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T00:00:00Z","timestamp":1619740800000},"content-version":"vor","delay-in-days":119,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>This communique presents the Q\u2010S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identification to a given map vector. The aforementioned strategy\u2019s employment demands the transformation of a system into a specific structure containing a nominal part and some unknown terms (later on, these unknown terms will be computed adaptively). An integral sliding mode controller is used to stabilize the error system by designing nominal control accompanied by compensator control. For chattering suppression, a continuous compensator of smooth nature is used instead of conventional control. The stability of the proposed algorithm is established in an impressive way, using Lyapunov criteria. A numerical simulation is performed to illustrate the validity of the proposed synchronization scheme.<\/jats:p>","DOI":"10.1155\/2021\/6678978","type":"journal-article","created":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T18:05:44Z","timestamp":1619805944000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Adaptive Integral\u2010Based Robust Q\u2010S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3857-4988","authenticated-orcid":false,"given":"Sami Ud","family":"Din","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1267-5510","authenticated-orcid":false,"given":"Muhammad Rafiq","family":"Mufti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9054-8798","authenticated-orcid":false,"given":"Humaira","family":"Afzal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0153-3645","authenticated-orcid":false,"given":"Majid","family":"Ali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Abdul","family":"Moiz Zia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,4,30]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(79)90150-6"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2008.02.020"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127405013988"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2005.09.039"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.400"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.64.821"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.69.32"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01420567"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.3390\/e17074974"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/22\/4\/048902"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.08.062"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127411029847"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0152099"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2020.2974863"},{"key":"e_1_2_8_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1373-6"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.03.032"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(91)90025-5"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/78\/01\/015007"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/85\/06\/065006"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.09.026"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127402004589"},{"key":"e_1_2_8_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.10.029"},{"key":"e_1_2_8_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.11.042"},{"key":"e_1_2_8_24_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0217979212500592"},{"key":"e_1_2_8_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.03.004"},{"key":"e_1_2_8_26_2","doi-asserted-by":"publisher","DOI":"10.1109\/jas.2016.7510145"},{"key":"e_1_2_8_27_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.61.5115"},{"key":"e_1_2_8_28_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2018.2865016"},{"key":"e_1_2_8_29_2","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/5641478"},{"key":"e_1_2_8_30_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2017.2712261"},{"key":"e_1_2_8_31_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-syb.2018.5016"},{"key":"e_1_2_8_32_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2007.08.001"},{"key":"e_1_2_8_33_2","doi-asserted-by":"publisher","DOI":"10.2478\/s11534-012-0073-4"},{"key":"e_1_2_8_34_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.673"},{"key":"e_1_2_8_35_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-0060-0"},{"key":"e_1_2_8_36_2","first-page":"108","article-title":"Synchronization of 4-D hyperchaotic Rikitake dynamo system along with unknown parameters via adaptive sliding mode","volume":"20","author":"Din S. 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