Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects


Alı M. S. , Narayanan G., Sevgen S. , Shekher V., Arik S.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.78, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78
  • Publication Date: 2019
  • Doi Number: 10.1016/j.cnsns.2019.104853
  • Title of Journal : COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Keywords: Fractional-order, Fuzzy BAM neural networks, Global stability, Time delay, Impulsive effects, Riemann-Liouville, EXPONENTIAL STABILITY, ROBUST STABILITY, ASYMPTOTIC STABILITY, DISCRETE, EXISTENCE, SYSTEMS, CRITERION

Abstract

In this paper, the impulsive effects on the stability equilibrium solution for Riemann-Liouville fractional-order fuzzy BAM neural networks with time delay are investigated. Firstly, some sufficient conditions are derived for assuring the global asymptotic stability of the equilibrium point of the system is studied by applying the fractional Barbalat's lemma, Lyapunov stability theorem and inequality scaling skills. Secondly, the existence and uniqueness of the equilibrium point of the system are analyzed by using the corresponding property of contraction mapping principle. Two different Riemann-Liouville fractional order derivatives beta and alpha between the U-layer and V- layer are taken into account coexistent. Furthermore, a numerical example is given to verify the validity and feasibility of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.