Robust adaptive synchronization of a class of uncertain chaotic systems with unknown time-delay Zare, A, Mirrezapour, SZ, Hallaji, M, Shoeibi, A, Jafari, M, Ghassemi, N, Alizadehsani, Roohallah and Mosavi, A 2020, Robust adaptive synchronization of a class of uncertain chaotic systems with unknown time-delay, Applied Sciences, vol. 10, no. 24, pp. 1-14, doi: 10.3390/app10248875. Attached Files Name Description MIMEType Size Downloads Title Robust adaptive synchronization of a class of uncertain chaotic systems with unknown time-delay Author(s) Zare, A Mirrezapour, SZ Hallaji, M Shoeibi, A Jafari, M Ghassemi, N Alizadehsani, Roohallah Mosavi, A Journal name Applied Sciences Volume number 10 Issue number 24 Article ID 8875 Start page 1 End page 14 Total pages 14 Publisher MDPI Place of publication Basel, Switzerland Publication date 2020 ISSN 2076-3417 2076-3417 Keyword(s) adaptive controller chaos theory chaotic system Chemistry Chemistry, Multidisciplinary Engineering Engineering, Multidisciplinary Lyapunov theory Materials Science Materials Science, Multidisciplinary OBSERVER Physical Sciences Physics Physics, Applied robust synchronization uncertainty Science & Technology SLIDING-MODE CONTROL Technology unknown time-delayed chaotic system Summary In this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimating uncertain parameters and unknown time delays are determined. Based on the proposed adaptation rules, an adaptive controller is recommended for the robust synchronization of the aforementioned uncertain systems that prove the robust stability of the proposed control mechanism utilizing the Lyapunov theorem. Finally, to evaluate the proposed robust and adaptive control mechanism, the synchronization of two Jerk chaotic systems with finite non-linear uncertainty and external disturbances as well as unknown fixed and variable time delays are simulated. The simulation results confirm the ability of the proposed control mechanism in robust synchronization of the uncertain chaotic systems as well as to estimate uncertain and unknown parameters. Language eng DOI 10.3390/app10248875 HERDC Research category C1 Refereed article in a scholarly journal Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30149969 Document type: Journal Article Collections: Institute for Intelligent Systems Research and Innovation (IISRI) Open Access Collection GTP Research Related Links Link Description Connect to published version Go to link with your DU access privileges   Connect to Elements publication management system Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Mon, 12 Apr 2021, 08:30:58 EST Tue, 13 Apr 2021, 05:01:53 EST Tue, 13 Apr 2021, 08:03:43 EST Thu, 07 Jul 2022, 15:35:34 EST Fri, 15 Jul 2022, 15:32:58 EST Fri, 15 Jul 2022, 15:34:07 EST Fri, 15 Jul 2022, 15:52:32 EST Fri, 15 Jul 2022, 15:56:56 EST Filtered Full Citation counts:   Cited 5 times in TR Web of Science Cited 5 times in Scopus Search Google Scholar Access Statistics: 11 Abstract Views, 0 File Downloads  -  Detailed Statistics Created: Mon, 12 Apr 2021, 08:30:58 EST