Journal of Applied Mathematics

Fixed Point and Asymptotic Analysis of Cellular Neural Networks

Xianghong Lai and Yutian Zhang

Full-text: Open access

Abstract

We firstly employ the fixed point theory to study the stability of cellular neural networks without delays and with time-varying delays. Some novel and concise sufficient conditions are given to ensure the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. Moreover, these conditions are easily checked and do not require the differentiability of delays.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 689845, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495268

Digital Object Identifier
doi:10.1155/2012/689845

Mathematical Reviews number (MathSciNet)
MR2965701

Zentralblatt MATH identifier
1323.47058

Citation

Lai, Xianghong; Zhang, Yutian. Fixed Point and Asymptotic Analysis of Cellular Neural Networks. J. Appl. Math. 2012 (2012), Article ID 689845, 12 pages. doi:10.1155/2012/689845. https://projecteuclid.org/euclid.jam/1355495268


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