Stabilization of delayed cohen-grossberg BAM neural networks

Rajivganthi Chinnathambi, Fathalla A. Rihan, Lakshmanan Shanmugam

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

This paper deals with finite-time stabilization results of delayed Cohen-Grossberg BAM neural networks under suitable control schemes. We propose a state-feedback controller together with an adaptive-feedback controller to stabilize the system of delayed Cohen-Grossberg BAM neural networks. Stabilization conditions are derived by using Lyapunov function and some algebraic conditions. We also estimate the upper bound of settling time functional for the stabilization, which depends on the controller schemes and system parameters. Two illustrative examples and numerical simulations are given to validate the success of the derived theoretical results.

Original languageEnglish
Pages (from-to)593-605
Number of pages13
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number2
DOIs
Publication statusPublished - 2018

Keywords

  • Adaptive-control
  • Cohen-grossberg BAM neural networks
  • Stabilization
  • Time-delay

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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