Stability analysis of stochastic fractional-order competitive neural networks with leakage delay

  • M. Syed Ali
  • , M. Hymavathi
  • , Bandana Priya
  • , Syeda Asma Kauser
  • , Ganesh Kumar Thakur

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This article, we explore the stability analysis of stochastic fractional-order competitive neural networks with leakage delay. The main objective of this paper is to establish a new set of sufficient conditions, which is for the uniform stability in mean square of such stochastic fractional-order neural networks with leakage. Specifically, the presence and uniqueness of arrangements and stability in mean square for a class of stochastic fractional-order neural systems with delays are concentrated by using Cauchy-Schwartz inequality, Burkholder-Davis-Gundy inequality, Banach fixed point principle and stochastic analysis theory, respectively. Finally, four numerical recreations are given to confirm the hypothetical discoveries.

Original languageEnglish
Pages (from-to)3205-3241
Number of pages37
JournalAIMS Mathematics
Volume6
Issue number4
DOIs
StatePublished - 2021
Externally publishedYes

Keywords

  • Competitive neural networks
  • Fractional order
  • Leakage
  • Stochastic

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