Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
Joint Authors
Zhou, Guopeng
Huang, Jinhua
Liu, Jiqing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This work concerns the stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms as well as Dirichlet boundary condition.
By means of Poincaré inequality and Gronwall-Bellman-type impulsive integral inequality, we summarize some new and concise sufficient conditions ensuring the global exponential stability of equilibrium point.
The proposed criteria are relevant to the diffusion coefficients and the smallest positive eigenvalue of corresponding Dirichlet Laplacian.
In conclusion, two examples are illustrated to demonstrate the effectiveness of our obtained results.
American Psychological Association (APA)
Huang, Jinhua& Liu, Jiqing& Zhou, Guopeng. 2013. Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-469913
Modern Language Association (MLA)
Huang, Jinhua…[et al.]. Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-469913
American Medical Association (AMA)
Huang, Jinhua& Liu, Jiqing& Zhou, Guopeng. Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-469913
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469913