On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays

Date
2020-03-03
Authors
Stamov, Gani
Stamova, Ivanka
Simeonov, Stanislav
Torlakov, Ivan
Journal Title
Journal ISSN
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Abstract

The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider variable impulsive perturbations. The stability with respect to manifolds notion is introduced for the neural network model under consideration. By means of the Lyapunov function method sufficient conditions that guarantee the stability properties of solutions are established. Two examples are presented to show the validity of the proposed stability criteria.

Description
Keywords
global exponential stability, h-manifolds, BAM Cohen–Grossberg neural networks, time-varying delays, variable impulsive perturbations
Citation
Mathematics 8 (3): 335 (2020)
Department
Mathematics