Existence and Global Stability of a Periodic Solution for Discrete-Time Cellular Neural Networks

Haijian Shao, Haikun Wei and Haoxiang Wang

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-18

Abstract:

A novel sufficient condition is developed to obtain the discrete-time analogues of cellular neural network (CNN) with periodic coefficients in the three-dimensional space. Existence and global stability of a periodic solution for the discrete-time cellular neural network (DT-CNN) are analysed by utilizing continuation theorem of coincidence degree theory and Lyapunov stability theory, respectively. In addition, an illustrative numerical example is presented to verify the effectiveness of the proposed results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:645214

DOI: 10.1155/2012/645214

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