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

Hongyong Zhao and Zisen Mao

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 5, 1603-1617

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.

Keywords: Cellular neural networks; Reaction-diffusion terms; Equilibrium point; Boundedness; Globally exponential stability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:5:p:1603-1617

DOI: 10.1016/j.matcom.2008.07.008

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