具有分布时滞的细胞神经网络的概周期解

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Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays

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Abstract:

In this paper, cellular neural networks with distributed delays are considered. Without assuming the global Lipschitz conditions of neuron signal functions, sufficient conditions for the existence, uniqueness and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality technique. The authors extend and improve previously known results. Moreover, an example is also worked out to illustrate the advantages of the results.

Key words: Cellular neural networks, Distributed delays, Almost periodic solution, Exponential stability, Fixed point theorem

CLC Number:

39A24

ZHANG Ruo-Jun, WANG Lin-Shan. Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays[J].Acta mathematica scientia,Series A, 2011, 31(2): 422-429.

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