Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

0.00 Avg rating0 Votes
Article ID: iaor201527010
Volume: 79
Issue: 5
Start Page Number: 1603
End Page Number: 1617
Publication Date: Jan 2009
Journal: Mathematics and Computers in Simulation
Authors: ,
Keywords: diffusion models, stability
Abstract:

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.

Reviews

Required fields are marked *. Your email address will not be published.