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Neural Processing Letters
Published in: Neural Processing Letters 2/2019

31-10-2018

Global Asymptotic Stability of Periodic Solutions for Neutral-Type Delayed BAM Neural Networks by Combining an Abstract Theorem of k-Set Contractive Operator with LMI Method

Authors: Zhengqiu Zhang, Feng Lin

Published in: Neural Processing Letters | Issue 2/2019

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Abstract

The paper considers the existence and global asymptotic stability of periodic solutions for a class of neutral-type BAM neural networks with time delays. By combining an abstract theorem of k-set contractive operator with LMI method as well as inequality techniques, a sufficient condition to guarantee the existence of periodic solutions for the above neutral-type BAM neural networks with time delays is established. Then by combining LMI method with inequality techniques, a sufficient condition of the global asymptotic stability of periodic solutions for the above neutral-type BAM neural networks is obtained. Our method and results on periodic solutions for the above neural networks are new and complementary to the existing papers.
previous article Stability and Synchronization Analysis of Discrete-Time Delayed Neural Networks with Discontinuous Activations
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Metadata
Title
Global Asymptotic Stability of Periodic Solutions for Neutral-Type Delayed BAM Neural Networks by Combining an Abstract Theorem of k-Set Contractive Operator with LMI Method
Authors
Zhengqiu Zhang
Feng Lin
Publication date
31-10-2018
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2019
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9941-2

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