Synchronization of three dimensional chaotic systems via a single state feedback |
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| Institution: | 1. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China;2. School of Automation, Southeast University, Nanjing 210096, PR China;3. School of Electrical and Electronic Engineering, The University of Manchester, Manchester M13 9PL, United Kingdom;1. School of Finance, Nanjing University of Finance and Economics, Nanjing 210023, China;2. School of Economics and Finance, Xian Jiaotong University, Shaanxi 710060, China;1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China;2. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, New South Wales 2751, Australia;3. China Aerospace Science and Industry Academy of Information Technology, Beijing, 100070, China;1. College of Management and Economics, Tianjin University, Tianjin 300072, China;2. Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China |
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| Abstract: | This paper investigates the synchronization of three dimensional chaotic systems by extending our previous method for chaos stabilization, and proposes a novel simple adaptive feedback controller for chaos synchronization. In comparison with previous methods, the present controller contains single state feedback. To our knowledge, the above controller is the simplest control scheme for synchronizing the three dimensional chaotic systems. The results are validated using numerical simulations. |
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