Back to Search Start Over

Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of measure theory

Authors :
Fritz Mbounja Béssémè
Samir Fatajou
Duplex Elvis Houpa Danga
David Békollé
Khalil Ezzinbi
Source :
Neurocomputing. 435:253-263
Publication Year :
2021
Publisher :
Elsevier BV, 2021.

Abstract

In this work, we use recent results on pseudo almost periodicity to study a class of non-autonomous cellular neural networks with mixed delays. Sufficient conditions are obtained in context of general measure theory ( d μ ( x ) = ρ ( x ) dx + d μ 1 ( x ) ), for existence, uniqueness and global exponentially stability of μ -pseudo almost periodic solutions of the considered model. As a consequence, we establish the exponential attractiveness of μ -pseudo almost periodic solutions of the addressed model as t ⟶ + ∞ . Some examples and numerical simulations are given to illustrate our results.

Details

ISSN :
09252312
Volume :
435
Database :
OpenAIRE
Journal :
Neurocomputing
Accession number :
edsair.doi...........dfd5fde7232a9e7e758efd6a6381ecb7
Full Text :
https://doi.org/10.1016/j.neucom.2020.12.047