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Stability and Synchronization of a Fractional Neutral Higher-Order Neural Network System

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Published/Copyright: February 25, 2020

Abstract

We discuss the stability and synchronization of some neural network systems with more than one feature. They are of higher-order, of fractional order and also involving delays of neutral type. Each one of these features presents substantial difficulties to overcome. We prove stability and synchronization of Mittag-Leffler type. This rate is fairly reasonable in case of fractional order. This leads us to prove a neutral fractional version of the well-known Halanay inequality which is interesting by itself. Another feature of the present work is the treatment of unbounded activation functions. The condition of uniform boundedness of the activation functions was commonly used in the literature.

MSC 2010: 92B20; 93D20; 26A33

Acknowledgements

The author is grateful for the financial support and the facilities provided by King Abdulaziz City of Science and Technology (KACST) under the National Science, Technology and Innovation Plan (NSTIP), Project No. 15-OIL4884-0124.

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Received: 2019-05-04
Accepted: 2020-02-02
Published Online: 2020-02-25
Published in Print: 2020-07-28

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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