Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
By using the concept of differential equations with piecewise constant argument of generalized type, a model of stochastic cellular neural networks with piecewise constant argument is developed.
Sufficient conditions are obtained for the existence and uniqueness of the equilibrium point for the addressed neural networks.
pth moment exponential stability is investigated by means of Lyapunov functional, stochastic analysis, and inequality technique.
The results in this paper improve and generalize some of the previous ones.
An example with numerical simulations is given to illustrate our results.
American Psychological Association (APA)
Li, Xiaoai. 2014. Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449269
Modern Language Association (MLA)
Li, Xiaoai. Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-449269
American Medical Association (AMA)
Li, Xiaoai. Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449269
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449269