Exponential Synchronization of Inertial Memristor-Based Neural Networks with Time Delay Using Average Impulsive Interval Approach

  • R. Rakkiyappan
  • D. Gayathri
  • G. Velmurugan
  • Jinde CaoEmail author


This paper deals with the impulsive synchronization problem for a class of inertial memristor-based neural networks (IMNNs) with time delays by applying average impulsive interval approach. By adopting proper variable transformation, the original system can be converted into first-order differential equations. By utilizing Lyapunov theory, theory of differential inclusion, Halanay inequality and average impulsive interval approach, we attain some adequate conditions that make sure the exponential synchronization of IMNNs under the impulsive control technique. Moreover some delay-dependent conditions for delayed impulsive synchronization of the considered system is obtained. Finally, numerical simulations are offered to exhibit the capacity of our theoretical findings.


Synchronization Inertial memristor-based neural networks Average impulsive interval approach Impulsive controller 



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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • R. Rakkiyappan
    • 1
  • D. Gayathri
    • 1
  • G. Velmurugan
    • 1
  • Jinde Cao
    • 2
    Email author
  1. 1.Department of MathematicsBharathiar UniversityCoimbatoreIndia
  2. 2.School of Mathematics and Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina

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