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On Application of Kertesz Method for Exponential Estimation of Neural Network Model with Discrete Delays

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Engineer of the XXI Century (EngineerXXI 2018)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 70))

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Abstract

The purpose of this research is to develop method of calculation of exponential decay rate for neural network model based on differential equations with discrete delays. The exponential estimate is obtained using Kertesz method resulting in difference inequality for Lyapunov functional.

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Authors and Affiliations

  1. Department of System Analysis and Decision Making Theory, Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kiev, Ukraine

    O. Nakonechnyi

  2. Department of Computer Science and Automatics, Faculty of Mechanical Engineering and Computer Science, University of Bielsko-Biala, 43-309, Bielsko-Biała, Poland

    V. Martsenyuk

  3. Department of Medical Informatics, Ternopil State Medical University, 46001, Ternopil, Ukraine

    A. Sverstiuk

Authors
  1. O. Nakonechnyi
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  2. V. Martsenyuk
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  3. A. Sverstiuk
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Corresponding author

Correspondence to V. Martsenyuk .

Editor information

Editors and Affiliations

  1. University of Bielsko-Biala, Bielsko-Biała, Poland

    Stanisław Zawiślak

  2. University of Bielsko-Biala, Bielsko-Biała, Poland

    Jacek Rysiński

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Nakonechnyi, O., Martsenyuk, V., Sverstiuk, A. (2020). On Application of Kertesz Method for Exponential Estimation of Neural Network Model with Discrete Delays. In: Zawiślak, S., Rysiński, J. (eds) Engineer of the XXI Century. EngineerXXI 2018. Mechanisms and Machine Science, vol 70. Springer, Cham. https://doi.org/10.1007/978-3-030-13321-4_14

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