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Robust synchronization analysis for static delayed neural networks with nonlinear hybrid coupling

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Abstract

In this paper, the robust synchronization for static neural networks with nonlinear coupling and time-varying delay is studied. By constructing the appropriate augmented Lyapunov–Krasovskii functional, utilizing the theory of Kronecker product and the linear matrix inequality technique, we obtain the delay-dependent synchronization conditions which ensure the nonlinear coupled static neural networks with uncertainties in coupling matrices terms robust synchronization. The robust synchronization problem for the nonlinear hybrid coupled static delayed neural networks is first time investigated in this paper. At last, numerical example is provided to illustrate the effectiveness of the proposed results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (50977008, 61034005), National Basic Research Program of China (2009CB320601), Science and Technology Research Program of the Education Department of Liaoning Province (LT2010040) and the National High Technology Research and Development Program of China (2012AA040104).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Box 134, 110819, Shenyang, China

    Junyi Wang, Huaguang Zhang, Zhanshan Wang & Bonan Huang

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  1. Junyi Wang
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  2. Huaguang Zhang
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  3. Zhanshan Wang
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  4. Bonan Huang
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Correspondence to Huaguang Zhang.

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Wang, J., Zhang, H., Wang, Z. et al. Robust synchronization analysis for static delayed neural networks with nonlinear hybrid coupling. Neural Comput & Applic 25, 839–848 (2014). https://doi.org/10.1007/s00521-014-1556-6

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  • DOI: https://doi.org/10.1007/s00521-014-1556-6

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