Existence and global exponential stability of periodic solution for Cohen-Grossb erg neural networks model with piecewise constant argument

Chiu, Kuo-Shou

Abstract

In this paper, we introduce a Cohen-Grossb erg neural networks model with piecewise alter-nately advanced and retarded argument. Some sufficient conditions are established for the existence and global exponential stability of periodic solutions. The approaches are based on employing Brouwer's fixed-point theorem and an integral inequality of Gronwall type with deviating argument. The criteria given are easily verifiable, possess many adjustable parameters, and depend on piecewise constant argument deviations, which provide flex-ibility for the design and analysis of Cohen-Grossb erg neural networks model. Several numerical examples and simulations are also given to show the feasibility and effectiveness of our results.

Más información

Título según WOS: Existence and global exponential stability of periodic solution for Cohen-Grossb erg neural networks model with piecewise constant argument
Título de la Revista: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Volumen: 51
Número: 5
Editorial: HACETTEPE UNIV, FAC SCI
Fecha de publicación: 2022
Página de inicio: 1219
Página final: 1236
DOI:

10.15672/hujms.1001754

Notas: ISI