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Dynamical behavior of stochastic cellular neural networks with distributed time delays.
- 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]
- Subjects :
- EXPONENTIAL stability
BROWNIAN motion
LYAPUNOV functions
Subjects
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