Linear generalized synchronization between two complex networks |
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| Affiliation: | 1. Institute of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, PR China;2. Institute of Mathematics and Statistics, Baise University, Baise, Guangxi 533000, PR China;1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China;2. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China;3. College of Mathematics and Information Science, Leshan Normal University, Leshan 614004, PR China;4. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China;1. School of Sciences, Southwest Petroleum University, Chengdu 610050, PR China;2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China |
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| Abstract: | In this paper, the linear generalized synchronization between two complex networks is investigated. Based on the Lyapunov stability theory, a simple criterion for linear generalized synchronization between two networks with the same connection topologies is attained by using the nonlinear control method, which can widen the application range of the generalized synchronization methods. The feasibility of the proposed scheme is proved in theory and numerical simulations further demonstrate the effectiveness of it. |
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