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Existence and Global Exponential Stability of Almost Periodic Solution for Cellular Neural Networks With Variable Coefficients and Time-Varying Delays.

Authors :
Haijun Jiang
Long Zhang
Zhidong Teng
Source :
IEEE Transactions on Neural Networks; Nov2005, Vol. 16 Issue 6, p1340-1351, 12p
Publication Year :
2005

Abstract

in this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10459227
Volume :
16
Issue :
6
Database :
Complementary Index
Journal :
IEEE Transactions on Neural Networks
Publication Type :
Academic Journal
Accession number :
19206381
Full Text :
https://doi.org/10.1109/TNN.2005.857951