Synchronization analysis in an array of asymmetric neural networks with time-varying delays and nonlinear coupling |
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Authors: | Qiankun Song |
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Affiliation: | Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China |
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Abstract: | In this paper, the global exponential synchronization is investigated for an array of asymmetric neural networks with time-varying delays and nonlinear coupling, assuming neither the differentiability for time-varying delays nor the symmetry for the inner coupling matrices. By employing a new Lyapunov-Krasovskii functional, applying the theory of Kronecker product of matrices and the technique of linear matrix inequality (LMI), a delay-dependent sufficient condition in LMIs form for checking global exponential synchronization is obtained. The proposed result generalizes and improves the earlier publications. An example with chaotic nodes is given to show the effectiveness of the obtained result. |
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Keywords: | Global exponential synchronization Asymmetric neural networks Time-varying delays Nonlinear coupling |
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