Analyzing stability of equilibrium points in impulsive neural network models involving generalized piecewise alternately advanced and retarded argument

Chiu, Kuo-Shou

Abstract

In this paper, we investigate the models of the impulsive cellular neural network with piecewise alternately advanced and retarded argument of generalized argument (in short IDEPCAG). To ensure the existence, uniqueness and global exponential stability of the equilibrium state, several new sufficient conditions are obtained. The method is based on utilizing Banach’s fixed point theorem and a new IDEPCAG’s Grönwall inequality. The criteria given are easy to check and when the impulsive effects do not affect, the results can be extracted from those of the non-impulsive systems. Typical numerical simulation examples are used to show the validity and effectiveness of proposed results.

Más información

Título según SCOPUS: ID SCOPUS_ID:85178386145 Not found in local SCOPUS DB
Título de la Revista: Tamkang #Journal of Mathematics
Volumen: 54
Fecha de publicación: 2023
Página de inicio: 379
Página final: 404
DOI:

10.5556/J.TKJM.54.2023.4740

Notas: SCOPUS - Wos, Scopus.