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Neural Processing Letters

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01-02-2016

Exponential Convergence for HCNNs with Oscillating Coefficients in Leakage Terms

Author: Ani Jiang

Published in: Neural Processing Letters | Issue 1/2016

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Abstract

The paper is concerned with the exponential convergence for a class of high-order cellular neural networks with oscillating coefficients in leakage terms. By employing the differential inequality techniques, we establish a novel result to ensure that all solutions of the addressed system converge exponentially to zero vector. Our approach handles particular cases which were not considered in some early relevant results. An example along with its numerical simulation is presented to demonstrate the validity of the proposed result.

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Dembo A, Farotimi O, Kailath T (1991) High-order absolutely stable neural networks. IEEE Trans Circuits Syst 38:57–65CrossRefMATH

Psaltis D, Park CH, Hong J (1988) Higher order associative memories and their optical implementations. Neural Netw 1:143–163CrossRef

Karayiannis NB, Venetsanopoulos AN (1995) On the training and performance of high-order neural networks. Math Biosci 129(2):143–168CrossRefMATH

Huang Z, Peng L, Xu M (2010) Anti-periodic solutions for high-order cellular neural networks with time-varying delays. Electron J Differ Equ 59:1–9MathSciNetMATH

Ou CX (2008) Anti-periodic solutions for high-order Hopfield neural networks. Comput Math Appl 56(7):1838–1844MathSciNetCrossRefMATH

Duan L, Huang L, Guo Z (2014) Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations. Nonlinear Dyn. doi:10.1007/s11071-014-1392-3

Gopalsamy K (2007) Leakage delays in BAM. J Math Anal Appl 325:1117–1132MathSciNetCrossRefMATH

Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal 14:559–C566CrossRefMathSciNetMATH

Chen Z, Yang M (2013) Exponential convergence for HRNNs with continuously distributed delays in the leakage terms. Neural Comput Appl 23:2221–2229CrossRef

10.

Yu Y, Jiao W (2014) New results on exponential convergence for HRNNs with continuously distributed delays in the leakage terms. Neural Process Lett 39:167–177CrossRef

11.

Yi X, Shao J, Yu Y, Xiao B (2008) New convergence behavior of high-order Hopfield neural networks with time-varying coefficients. J Comput Appl Math 219:216–222MathSciNetCrossRefMATH

12.

Zhang H, Wang W, Xiao B (2011) Exponential convergence for high-order recurrent neural networks with a class of general activation functions. Appl Math Model 35:123–129MathSciNetCrossRefMATH

13.

Zhang A (2013) Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays. Adv Differ Equ 162:1–14

14.

Jia R, Yang M (2014) Convergence for HRNNs with unbounded activation functions and time-varying delays in the leakage terms. Neural Process Lett 39:69–79CrossRef

15.

Xiong W (2014) New result on convergence for HCNNs with time-varying leakage delays. Neural Comput Appl. doi:10.1007/s00521-014-1733-7

16.

Berezansky L, Braverman E (2009) On exponential stability of a linear delay differential equation with an oscillating coefficient. Appl Math Lett 22:1833–1837MathSciNetCrossRefMATH

Title: Exponential Convergence for HCNNs with Oscillating Coefficients in Leakage Terms
Author: Ani Jiang
Publication date: 01-02-2016
Publisher: Springer US
Published in: Neural Processing Letters / Issue 1/2016
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-015-9418-5

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