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Neural Processing Letters

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01-12-2016

Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales

Authors: Yongkun Li, Li Yang, Bing Li

Published in: Neural Processing Letters | Issue 3/2016

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Abstract

Using the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence and global exponential stability of pseudo almost periodic solutions for a class of neutral type high-order Hopfield neural networks with delays in leakage terms on time scales. Our results show that the continuous-time neural network and its discrete-time analogue have the same dynamical behaviors. Finally, we give a numerical example and simulation to illustrate the feasibility of our results. Results of this paper are completely new even if the time scale \(\mathbb {T}=\mathbb {R}\) or \(\mathbb {Z}\).

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Title: Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales
Authors: Yongkun Li
Li Yang
Bing Li
Publication date: 01-12-2016
Publisher: Springer US
Published in: Neural Processing Letters / Issue 3/2016
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-015-9483-9

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