Synchronisation control of composite chaotic systems |
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| Authors: | Jindao Zha Bing Song Wen Hu |
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| Affiliation: | 1. School of Information Technology, Jiangsu Institute of Commerce, Nanjing, Jiangsu Province, China;2. School of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu Province, China |
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| Abstract: | Synchronisation conditions are studied for composite chaotic systems with complex compound structure and the signum function based on the theorem of zero-solution stability for a class of linear time-varying systems with countable discontinuous points. The synchronisation controller and its gain range are deduced according to the stability theorem, where the gain of the controller can speed synchronisation. Numerical simulation further proves the control theory and the validity of the synchronisation controller. The proposed controller can be widely applied in those chaotic systems with switch functions or other hybrid chaotic systems. |
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| Keywords: | Composite chaotic system synchronisation asymptotically stable switch function |
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