Synchronization of delayed coupled reaction‐diffusion systems on networks |
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| Authors: | Wenxue Li Tianrui Chen Dianguo Xu Ke Wang |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology(Weihai), Weihai 264209, China;2. Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China |
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| Abstract: | In this paper, the exponential synchronization problem of delayed coupled reaction‐diffusion systems on networks (DCRDSNs) is investigated. Based on graph theory, a systematic method is designed to achieve exponential synchronization between two DCRDSNs by constructing a global Lyapunov function for error system. Two different kinds of sufficient synchronization criteria are derived in the form of Lyapunov functions and coefficients of drive‐response systems, respectively. Finally, a numerical example is given to show the usefulness of the proposed criteria. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | exponential synchronization graph theory coupled system time‐varying delay |
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