Literature DB >> 24325932

Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks.

Jiejie Chen1, Zhigang Zeng2, Ping Jiang3.   

Abstract

The present paper introduces memristor-based fractional-order neural networks. The conditions on the global Mittag-Leffler stability and synchronization are established by using Lyapunov method for these networks. The analysis in the paper employs results from the theory of fractional-order differential equations with discontinuous right-hand sides. The obtained results extend and improve some previous works on conventional memristor-based recurrent neural networks. Crown
Copyright © 2013. Published by Elsevier Ltd. All rights reserved.

Keywords:  Filippov’s solution; Fractional-order; Global Mittag-Leffler stability; Memristor-based neural networks; Synchronization

Mesh:

Year:  2013        PMID: 24325932     DOI: 10.1016/j.neunet.2013.11.016

Source DB:  PubMed          Journal:  Neural Netw        ISSN: 0893-6080


  4 in total

1.  Global [Formula: see text] stabilization of fractional-order memristive neural networks with time delays.

Authors:  Ling Liu; Ailong Wu; Xingguo Song
Journal:  Springerplus       Date:  2016-07-09

2.  Synchronization control of quaternion-valued memristive neural networks with and without event-triggered scheme.

Authors:  Ruoyu Wei; Jinde Cao
Journal:  Cogn Neurodyn       Date:  2019-06-28       Impact factor: 5.082

3.  Stability analysis of memristor-based fractional-order neural networks with different memductance functions.

Authors:  R Rakkiyappan; G Velmurugan; Jinde Cao
Journal:  Cogn Neurodyn       Date:  2014-10-09       Impact factor: 5.082

4.  Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays.

Authors:  Li Li; Zhen Wang; Junwei Lu; Yuxia Li
Journal:  Entropy (Basel)       Date:  2018-02-13       Impact factor: 2.524

  4 in total

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