Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Cohen-Grossberg neural networks with discontinuous activation functions is considered.
Using the property of M-matrix and a generalized Lyapunov-like approach, the uniqueness is proved for state solutions and corresponding output solutions, and equilibrium point and corresponding output equilibrium point of considered neural networks.
Meanwhile, global exponential stability of equilibrium point is obtained.
Furthermore, by contraction mapping principle, the uniqueness and globally exponential stability of limit cycle are given.
Finally, an example is given to illustrate the effectiveness of the obtained results.
American Psychological Association (APA)
Wang, Yanyan& Zhou, Jianping. 2012. Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-447145
Modern Language Association (MLA)
Wang, Yanyan& Zhou, Jianping. Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-447145
American Medical Association (AMA)
Wang, Yanyan& Zhou, Jianping. Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-447145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447145