Exponential Stability of Impulsive Delayed Reaction-Diffusion Cellular Neural Networks via Poincaré Integral Inequality
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This work is devoted to the stability study of impulsive cellular neural networks with time-varying delays and reaction-diffusion terms.
By means of new Poincaré integral inequality and Gronwall-Bellman-type impulsive integral inequality, we summarize some novel and concise sufficient conditions ensuring the global exponential stability of equilibrium point.
The provided stability criteria are applicable to Dirichlet boundary condition and show that not only the reaction-diffusion coefficients but also the regional features including the boundary and dimension of spatial variable can influence the stability.
Two examples are finally illustrated to demonstrate the effectiveness of our obtained results.
American Psychological Association (APA)
Lai, Xianghong& Yao, Tianxiang. 2013. Exponential Stability of Impulsive Delayed Reaction-Diffusion Cellular Neural Networks via Poincaré Integral Inequality. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-448202
Modern Language Association (MLA)
Lai, Xianghong& Yao, Tianxiang. Exponential Stability of Impulsive Delayed Reaction-Diffusion Cellular Neural Networks via Poincaré Integral Inequality. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-448202
American Medical Association (AMA)
Lai, Xianghong& Yao, Tianxiang. Exponential Stability of Impulsive Delayed Reaction-Diffusion Cellular Neural Networks via Poincaré Integral Inequality. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-448202
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448202