Global exponential stability analysis on impulsive BAM neural networks with distributed delays

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.01.016 ◽

2006 ◽

Vol 324 (2) ◽

pp. 1125-1139 ◽

Cited By ~ 60

Author(s):

Yao-tang Li ◽

Chang-bo Yang

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks

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Existence and global exponential stability of periodic solution for impulsive Cohen–Grossberg-type BAM neural networks with continuously distributed delays

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.05.005 ◽

2009 ◽

Vol 215 (1) ◽

pp. 292-307 ◽

Cited By ~ 58

Author(s):

Xiaodi Li

Keyword(s):

Neural Networks ◽

Periodic Solution ◽

Exponential Stability ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks

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Global Exponential Stability of Impulsive Fuzzy High-Order BAM Neural Networks With Continuously Distributed Delays

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2017.2736581 ◽

2018 ◽

Vol 29 (8) ◽

pp. 3682-3700 ◽

Cited By ~ 10

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Global Exponential Stability ◽

High Order ◽

Distributed Delays ◽

Bam Neural Networks

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Global exponential stability of BAM neural networks with distributed delays and impulses

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2007.08.019 ◽

2009 ◽

Vol 10 (1) ◽

pp. 144-153 ◽

Cited By ~ 65

Author(s):

Qinghua Zhou

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks

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Global Exponential Stability for Impulsive BAM Neural Networks with Distributed Delays on Time Scales

Neural Processing Letters ◽

10.1007/s11063-009-9127-z ◽

2010 ◽

Vol 31 (1) ◽

pp. 65-91 ◽

Cited By ~ 21

Author(s):

Yongkun Li ◽

Shan Gao

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Time Scales ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks

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An analysis on the global exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.03.048 ◽

2008 ◽

Vol 56 (9) ◽

pp. 2256-2267 ◽

Cited By ~ 17

Author(s):

Yao-tang Li ◽

Jiyu Wang

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Periodic Solutions ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks ◽

Existence Of Periodic Solutions

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On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2006.08.005 ◽

2008 ◽

Vol 36 (4) ◽

pp. 1044-1054 ◽

Cited By ~ 31

Author(s):

Xuyang Lou ◽

Baotong Cui ◽

Wei Wu

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Periodic Solutions ◽

Global Exponential Stability ◽

Reaction Diffusion ◽

Distributed Delays ◽

Bam Neural Networks ◽

Existence Of Periodic Solutions

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Global exponential stability of impulsive BAM neural networks with distributed delays

Neurocomputing ◽

10.1016/j.neucom.2008.08.008 ◽

2009 ◽

Vol 72 (7-9) ◽

pp. 1688-1693 ◽

Cited By ~ 16

Author(s):

Jie Zhou ◽

Shuyong Li

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Global Exponential Stability ◽

Distributed Delays ◽

Bam Neural Networks

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Global Exponential Stability Analysis of Dynamic Neural Networks with Distributed Delays

TELKOMNIKA Indonesian Journal of Electrical Engineering ◽

10.11591/telkomnika.v11i12.2548 ◽

2013 ◽

Vol 11 (12) ◽

Author(s):

Songhe Jin ◽

Dianbo Ren ◽

Lei He

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Distributed Delays ◽

Dynamic Neural Networks

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Novel global exponential stability analysis for BAM neural networks with time-varying delays

2009 Chinese Control and Decision Conference ◽

10.1109/ccdc.2009.5192400 ◽

2009 ◽

Author(s):

Yonggang Chen ◽

Shoujia Huang ◽

Jingben Yin ◽

Qingbo Li

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Time Varying ◽

Bam Neural Networks

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Periodic Solutions of a Cohen-Grossberg-Type BAM Neural Networks with Distributed Delays and Impulses

Journal of Applied Mathematics ◽

10.1155/2012/643418 ◽

2012 ◽

Vol 2012 ◽

pp. 1-17 ◽

Cited By ~ 3

Author(s):

Qiming Liu ◽

Rui Xu

Keyword(s):

Neural Networks ◽

Lyapunov Function ◽

Exponential Stability ◽

Periodic Solutions ◽

Global Exponential Stability ◽

Sufficient Conditions ◽

Distributed Delays ◽

Bam Neural Networks ◽

Mathematical Transformation

A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties ofM-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.

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