Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms
In this paper, we study a class of nonautonomous cellular neural networks with reaction-diffusion terms. By employing the method of variation parameter, applying inequality technique and introducing a lot of real parameters, we present some sufficient conditions ensuring the boundedness and globally exponential stability of the solutions for nonautonomous cellular neural networks with reaction-diffusion terms. The results obtained extend and improve the earlier publications. Finally, three examples with their numerical simulations are provided to show the correctness of our analysis.
Year of publication: |
2009
|
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Authors: | Zhao, Hongyong ; Mao, Zisen |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 5, p. 1603-1617
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Publisher: |
Elsevier |
Subject: | Cellular neural networks | Reaction-diffusion terms | Equilibrium point | Boundedness | Globally exponential stability |
Saved in:
Online Resource
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