Synchronization of memristor-based delayed BAM neural networks with fractional-order derivatives

Chinnathambi Rajivganthi, Fathalla A. Rihan, Shanmugam Lakshmanan, Rajan Rakkiyappan, Palanisamy Muthukumar

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

This article deals with the problem of synchronization of fractional-order memristor-based BAM neural networks (FMBNNs) with time-delay. We investigate the sufficient conditions for adaptive synchronization of FMBNNs with fractional-order 0 < α < 1. The analysis is based on suitable Lyapunov functional, differential inclusions theory, and master-slave synchronization setup. We extend the analysis to provide some useful criteria to ensure the finite-time synchronization of FMBNNs with fractional-order 1 < α < 2, using Mittag-Leffler functions, Laplace transform, and linear feedback control techniques. Numerical simulations with two numerical examples are given to validate our theoretical results. Presence of time-delay and fractional-order in the model shows interesting dynamics.

Original languageEnglish
Pages (from-to)412-426
Number of pages15
JournalComplexity
Volume21
DOIs
Publication statusPublished - Nov 1 2016

Keywords

  • fractional-order
  • memristor-based BAM neural networks
  • synchronization
  • time-delays

ASJC Scopus subject areas

  • Computer Science(all)
  • General

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