Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix
Joint Authors
Li, Mingdong
Diao, Yongfeng
Yin, Xing
Li, Jun
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The original Hopfield neural networks model is adapted so that the weights of the resulting network are time varying.
In this paper, the Discrete Hopfield neural networks with weight function matrix (DHNNWFM) the weight changes with time, are considered, and the stability of DHNNWFM is analyzed.
Combined with the Lyapunov function, we obtain some important results that if weight function matrix (WFM) is weakly (or strongly) nonnegative definite function matrix, the DHNNWFM will converge to a stable state in serial (or parallel) model, and if WFM consisted of strongly nonnegative definite function matrix and column (or row) diagonally dominant function matrix, DHNNWFM will converge to a stable state in parallel model.
American Psychological Association (APA)
Li, Jun& Diao, Yongfeng& Li, Mingdong& Yin, Xing. 2009. Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-489404
Modern Language Association (MLA)
Li, Jun…[et al.]. Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-10.
https://search.emarefa.net/detail/BIM-489404
American Medical Association (AMA)
Li, Jun& Diao, Yongfeng& Li, Mingdong& Yin, Xing. Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-489404
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489404