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Neural Computing and Applications

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01.04.2014 | Original Article

Existence and stability of almost periodic solutions for CNNs with continuously distributed leakage delays

verfasst von: Hong Zhang

Erschienen in: Neural Computing and Applications | Ausgabe 5/2014

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Abstract

In this paper, a class of nonlinear nonautonomous cellular neural networks system with the introduction of continuously distributed delays in the leakage (or forgetting) terms is considered. By using Lyapunov functional method and differential inequality techniques, without assuming the boundedness on the activation functions, we derive a set of easily verifiable sufficient conditions that guarantee the existence and exponential stability of almost periodic solutions for the system. Moreover, an example and its numerical simulation are given to demonstrate the feasibility of our method.

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Titel: Existence and stability of almost periodic solutions for CNNs with continuously distributed leakage delays
verfasst von: Hong Zhang
Publikationsdatum: 01.04.2014
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 5/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-012-1336-0

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