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Global Mittag–Leffler Synchronization for Impulsive Fractional-Order Neural Networks with Delays

  • Ramziya Rifhat , Ahmadjan Muhammadhaji EMAIL logo and Zhidong Teng
Published/Copyright: March 17, 2018

Abstract

In this paper, we investigate the synchronization problem of impulsive fractional-order neural networks with both time-varying and distributed delays. By using the fractional Lyapunov method and Mittag–Leffler function, some sufficient conditions are derived to realize the global Mittag–Leffler synchronization of impulsive fractional-order neural networks and one illustrative example is given to demonstrate the effectiveness of the obtained results.

MSC 2010: 34K37; 34K20; 34K60; 34A37

Funding statement: This research is supported by the National Natural Science Foundation of China [grant number 11601464], [grant number 11702237] and the Starting research Fund for the Xinjiang University doctoral graduates [grant number BS150202].

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Received: 2017-8-14
Accepted: 2018-1-5
Published Online: 2018-3-17
Published in Print: 2018-4-25

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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