Back to Search Start Over

Generalized exponential stability of stochastic Hopfield neural networks with variable coefficients and infinite delay.

Authors :
Dehao Ruan
Yao Lu
Source :
AIMS Mathematics; 2024, Vol. 9 Issue 8, p22910-22926, 17p
Publication Year :
2024

Abstract

This paper centers on stochastic Hopfield neural networks with variable coefficients and infinite delay. First, we propose an integral inequality that improves and extends some existing works. Second, by employing some inequalities and stochastic analysis techniques, some suffcient conditions for ensuring pth moment generalized exponential stability are established. Our results do not necessitate the construction of a complex Lyapunov function or rely on the assumption of bounded variable coeffscients, and our results expand some existing works. At last, to illustrate the efficacy of our result, we present several simulation examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
8
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
178904393
Full Text :
https://doi.org/10.3934/math.20241114