Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control |
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Authors: | L Ling Yu Miao Wei Lin-Ling Wei Lin-Ling Li Yu-Shan |
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Institution: | College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China |
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Abstract: | The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network. The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems. The sliding surface of the network and the control input are designed. Furthermore, the effectiveness of the method is analysed based on the stability theory. The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment. It is found that the synchronization performance of the network is very stable. |
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Keywords: | spatiotemporal chaos synchronization complex network sliding mode control Lyapunov theorem |
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