Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms
Joint Authors
Zhu, Quanxin
Song, Mingzhu
Zhou, Hongwei
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The stability issue is investigated for a class of stochastic neural networks with time delays in the leakage terms.
Different from the previous literature, we are concerned with the almost sure stability.
By using the LaSalle invariant principle of stochastic delay differential equations, Itô’s formula, and stochastic analysis theory, some novel sufficient conditions are derived to guarantee the almost sure stability of the equilibrium point.
In particular, the weak infinitesimal operator of Lyapunov functions in this paper is not required to be negative, which is necessary in the study of the traditional moment stability.
Finally, two numerical examples and their simulations are provided to show the effectiveness of the theoretical results and demonstrate that time delays in the leakage terms do contribute to the stability of stochastic neural networks.
American Psychological Association (APA)
Song, Mingzhu& Zhu, Quanxin& Zhou, Hongwei. 2016. Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103355
Modern Language Association (MLA)
Song, Mingzhu…[et al.]. Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103355
American Medical Association (AMA)
Song, Mingzhu& Zhu, Quanxin& Zhou, Hongwei. Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103355