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Zbl 1138.93031
Zhang, Lijuan; Si, Ligeng
Existence and global attractivity of almost periodic solution for DCNNs with time-varying coefficients. (English)
[J] Comput. Math. Appl. 55, No. 8, 1887-1894 (2008). ISSN 0898-1221

Summary: By using exponential dichotomy, the Banach fixed point theory and some inequality analysis technology, some sufficient conditions are derived ensuring existence, uniqueness and global attractivity of almost periodic solution of Delayed Cellular Neural Networks (DCNNs) with time-varying coefficients. Without assuming the boundedness of signal functions, the results obtained have sufficient significance in design and applications of almost periodic oscillatory DCNNs.

MSC 2000:: *93C15 Control systems governed by ODE
93C10 Nonlinear control systems
93B27 Geometric methods in systems theory
92B20 General theory of neural networks
68Q80 Cellular and array automata

Keywords: delayed cellular neural networks; almost periodic solution; global attractivity; fixed point theory; exponential dichotomy

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