A simple adaptive-feedback controller for chaos synchronization |
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| Authors: | Wanli Guo Shihua Chen Hong Zhou |
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| Affiliation: | 1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab 151001, India;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow 115409, Russian Federation;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa |
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| Abstract: | Based on the LaSalle’s invariant theorem and Lyapunov method, a simple scheme is proposed to synchronize chaotic systems. Unlike the usual linear feedback, this scheme uses the variable feedback which is automatically adapted to a updated law. Moreover, this scheme is analytical and simple to be implemented in practice. The well-known models such as Chen system and Lü system are used to illustrate the validity of this theoretic method. |
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