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Dynamical behavior of stochastic cellular neural networks with distributed time delays.

Authors :
Zhang, Ling
Sun, Xiaoqi
Source :
Mathematical Methods in the Applied Sciences; 3/30/2023, Vol. 46 Issue 5, p5850-5862, 13p
Publication Year :
2023

Abstract

This paper proposed a new class of stochastic cellular neural networks (SCNNs) with distributed time delays. It is driven by time‐varying Brownian motion. By constructing the Lyapunov functions with a more concise form and using the time‐varying Itô formula, combining some inequality techniques, this paper proved the almost surely exponential stability and the p$$ p $$‐th moment exponential stability of the solution of the SCNNs. The numerical example verifies the theoretical results of this paper. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
46
Issue :
5
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
162398204
Full Text :
https://doi.org/10.1002/mma.8872