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Neural Processing Letters

, Volume 49, Issue 1, pp 1–18 | Cite as

Global Mittag-Leffler Synchronization for Fractional-Order BAM Neural Networks with Impulses and Multiple Variable Delays via Delayed-Feedback Control Strategy

  • Renyu Ye
  • Xinsheng Liu
  • Hai ZhangEmail author
  • Jinde Cao
Article

Abstract

This paper is concerned with the global Mittag-Leffler synchronization schemes for the Caputo type fractional-order BAM neural networks with multiple time-varying delays and impulsive effects. Based on the delayed-feedback control strategy and Lyapunov functional approach, the sufficient conditions are established to ensure the global Mittag-Leffler synchronization, which are described as the algebraic inequalities associated with the network parameters. The control gain constants can be searched in a wider range following the proposed synchronization conditions. The obtained results are more general and less conservative. A numerical example is also presented to illustrate the feasibility and effectiveness of the theoretical results based on the modified predictor–corrector algorithm.

Keywords

Mittag-Leffler synchronization Delayed-feedback control Lyapunov functionals Fractional BAM neural networks Time-varying delays Impulsive effects 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical StructuresInstitute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.School of Mathematics and Computation ScienceAnqing Normal UniversityAnqingChina
  3. 3.School of MathematicsSoutheast UniversityNanjingChina
  4. 4.School of Electrical EngineeringNantong UniversityNantongChina

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