Adaptive synchronization of uncertain chaotic systems via backstepping design |
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| Institution: | 1. Department of Biomedical Engineering & Biomedical Simulations Resource, University of Southern California, United States;2. Sonovation Imaging & Diagnostics Inc., Los Angeles, CA, United States;3. Department of Internal Medicine, University of Texas Southwestern Medical Center, Dallas, TX, United States;1. Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand;2. Athens Institute for Education and Research, Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece;1. Faculty of Engineering, University of the Ryukyus, 1 Senbaru, Nishihara-cho, Nakagami, Okinawa 903-0213, Japan;2. Eco Topia Science Institute, Nagoya University, Nagoya 464-8603, Japan |
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| Abstract: | In this paper, an approach for adaptive synchronization of uncertain chaotic systems is proposed using adaptive backstepping with tuning functions. Strong properties of global stability and asymptotic synchronization can be achieved. The proposed approach offers a systematic design procedure for adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Simulation results are presented to show the effectiveness of the approach. |
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