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Neural Computing and Applications

Erschienen in:

01.07.2012 | Original Article

Almost periodic solution of impulsive Hopfield neural networks with finite distributed delays

verfasst von: Yiguang Liu, Zengxi Huang, Liping Chen

Erschienen in: Neural Computing and Applications | Ausgabe 5/2012

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Abstract

By the definition of piecewise almost periodic functions, this paper investigates the existence and stability of a discontinuous almost periodic solution of the impulsive Hopfield neural networks with finite distributed delays and periodic impulses, using fixed point theorems, Lyapunov functional, and some inequality techniques. Compared with known relevant results mainly concentrating on continuous neural networks, the obtained criteria consider impulse effects. Moreover, it does not use Cauchy matrix, and the corresponding hypotheses about linear impulse systems which are often used in the reference. The obtained criteria are easily applicable and checkable, and an illustrative example with simulations shows this. Furthermore, the proposed results are applicable to some other networks with periodic impulses.

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Titel: Almost periodic solution of impulsive Hopfield neural networks with finite distributed delays
verfasst von: Yiguang Liu
Zengxi Huang
Liping Chen
Publikationsdatum: 01.07.2012
Verlag: Springer-Verlag
Erschienen in: Neural Computing and Applications / Ausgabe 5/2012
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-011-0655-x

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