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Power-Rate Synchronization of Fractional-Order Nonautonomous Neural Networks with Heterogeneous Proportional Delays

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Abstract

This paper is concerned with the problem of global power-rate synchronization of fractional-order nonautonomous neural networks with heterogeneous proportional delays. By utilizing the Leibniz rule for fractional differentiation and an extended comparison technique, delay-dependent conditions are derived to ensure that the considered fractional-order neural network model is globally synchronous with a power decaying rate. Two examples with numerical simulations are given to demonstrate the effectiveness of the obtained results.

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Acknowledgements

The authors would like to thank the anonymous reviewers the handling editor(s) for their constructive comments and helpful suggestions that helped us improve the present paper.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

    L. V. Hien & T. D. Ke

  2. Department of Mathematics, Hanoi Pedagogical University No. 2, Vinhphuc, Vietnam

    C. T. Kinh

Authors
  1. C. T. Kinh
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  2. L. V. Hien
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  3. T. D. Ke
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Correspondence to L. V. Hien.

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Kinh, C.T., Hien, L.V. & Ke, T.D. Power-Rate Synchronization of Fractional-Order Nonautonomous Neural Networks with Heterogeneous Proportional Delays. Neural Process Lett 47, 139–151 (2018). https://doi.org/10.1007/s11063-017-9637-z

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