Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-22
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This work addresses the asymptotic stability for a class of impulsive cellular neural networks with time-varying delays and reaction-diffusion.
By using the impulsive integral inequality of Gronwall-Bellman type and Hardy-Sobolev inequality as well as piecewise continuous Lyapunov functions, we summarize some new and concise sufficient conditions ensuring the global exponential asymptotic stability of the equilibrium point.
The provided stability criteria are applicable to Dirichlet boundary condition and showed to be dependent on all of the reaction-diffusion coefficients, the dimension of the space, the delay, and the boundary of the spatial variables.
Two examples are finally illustrated to demonstrate the effectiveness of our obtained results.
American Psychological Association (APA)
Zhang, Yutian. 2011. Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993316
Modern Language Association (MLA)
Zhang, Yutian. Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993316
American Medical Association (AMA)
Zhang, Yutian. Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993316
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993316