Exponential Synchronization for Fractional-order Time-delayed Memristive Neural Networks

Ding Dawei; Zhang Yaqin; Wang Nian

doi:10.21307/ijanmc-2019-001

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Exponential Synchronization for Fractional-order Time-delayed Memristive Neural Networks

International Journal of Advanced Network, Monitoring and Controls

Volume 3 (2018): Issue 3 (January 2018)

By: Ding Dawei, Zhang Yaqin and Wang Nian

Open Access

|Oct 2019

Abstract

Considering the fact that the exponential synchronization of neural networks has been widely used in theoretical research and practical application of many scientific fields, and there are a few researches about the exponential synchronization of fractional-order memristor-based neural networks (FMNN). This paper concentrates on the FMNN with time-varying delays and investigates its exponential synchronization. A simple linear error feedback controller is applied to compel the response system to synchronize with the drive system. Combining the theories of differential inclusions and set valued maps, a new sufficient condition concerning exponential synchronization is obtained based on comparison principle rather than the traditional Lyapunov theory. The obtained results extend exponential synchronization of integer-order system to fractional-order memristor-based neural networks with time-varying delays. Finally, some numerical examples are used to demonstrate the effectiveness and correctness of the main results.

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Articles in this issue

DOI: https://doi.org/10.21307/ijanmc-2019-001 | Journal eISSN: 2470-8038

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Language: English

Page range: 1 - 15

Published on: Oct 1, 2019

Published by: Xi’an Technological University

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Exponential Synchronization,

Memristor-based Neural Networks,

Fractional-order,

Linear Error Feedback Control,

Time-varying Delays

Related subjects:

Computer sciences,

Computer sciences, other

© 2019 Ding Dawei, Zhang Yaqin, Wang Nian, published by Xi’an Technological University
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 3 (2018): Issue 3 (January 2018)