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23-04-2016 | Original Article | Issue 5/2017

Anti-periodic solutions for cellular neural networks with oscillating coefficients in leakage terms

Journal:: International Journal of Machine Learning and Cybernetics > Issue 5/2017

Author:: Qiyuan Zhou

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Important notes

This work was supported by the Natural Scientific Research Fund of Hunan Provincial of China (Grant Nos. 2016JJ6103, 2016JJ6104), and the Construction Program of the Key Discipline in Hunan University of Arts and Science-Applied Mathematics.

Abstract

This paper is concerned with the anti-periodic solutions for a class of cellular neural network model with oscillating coefficients in leakage terms. By applying contraction mapping fixed point theorem and differential inequality techniques, we establish some sufficient conditions to guarantee the existence and exponential stability of anti-periodic solutions for this model, which improve and supplement existing ones. Moreover, an example and its numerical simulations are given to support the theoretical results.

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Chua LO, Yang L (1988) Cellular neural networks: theory. IEEE Trans Circuits Syst 35(10):1257–1272 MathSciNetCrossRefMATH

Chua LO, Roska T (1990) Cellular neural networks with nonlinear and delay-type template elements. In: Proceedings of the 1990 IEEE international workshop on cellular neural networks and their applications, pp 12–25

Lu W, Chen T (2005) Global exponential stability of almost periodic solutions for a large class of delayed dynamical systems. Sci China Ser A Math 8(48):1015–1026 MathSciNetCrossRefMATH

Xu Y (2014) New results on almost periodic solutions for CNNs with time-varying leakage delays. Neural Comput Appl 25:1293–1302 CrossRef

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

Liu B (2009) Anti-periodic solutions for forced Rayleigh-type equations. Nonlinear Anal Real World Appl 10(5):2850–2856 MathSciNetCrossRefMATH

Li Y, Huang L (2009) Anti-periodic solutions for a class of Liénard-type systems with continuously distributed delays. Nonlinear Anal. Real World Appl 10(4):2127–2132 MathSciNetCrossRefMATH

Lv X, Yan P, Liu D (2010) Anti-periodic solutions for a class of nonlinear second-order Rayleigh equations with delays. Commun Nonlinear Sci Numer Simul 15(11):3593–3598 MathSciNetCrossRefMATH

Wang W, Shen J (2009) Existence of solutions for anti-periodic boundary value problems. Nonlinear Anal Theory Methods Appl 70(2):598–605 MathSciNetCrossRefMATH

10.

Fan Q, Wang W, Yi X (2009) Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays. J Comput Appl Math 230(2):762–769 MathSciNetCrossRefMATH

11.

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

12.

Shao J (2009) An anti-periodic solution for a class of recurrent neural networks. J Comput Appl Math 228:231–237 MathSciNetCrossRefMATH

13.

Xu C, Zhang Q (2015) Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay. Neurocomputing 153(4):108–116 MathSciNetCrossRef

14.

Wang W (2013) Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms. Adv Differ Eq 2013(73):1–15 MathSciNet

15.

Peng L, Wang W (2013) Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms. Neurocomputing 111(2):27–33 MathSciNetCrossRef

16.

Peng G, Huang L (2009) Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 10:2434–2440 MathSciNetCrossRefMATH

17.

Li Y, Yang L (2009) Anti-periodic solutions for Cohen--Grossberg neural networks with bounded and unbounded delays. Commun Nonlinear Sci Numer Simul 14:3134–3140 MathSciNetCrossRefMATH

18.

Gong S (2009) Anti-periodic solutions for a class of Cohen--Grossberg neural networks. Comput Math Appl 58:341–347 MathSciNetCrossRefMATH

19.

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

20.

Jiang A (2016) Exponential Convergence for HCNNs with Oscillating Coefficients in Leakage Terms. Neural Process Lett 43:285–294 CrossRef

21.

Jiang A (2015) Exponential convergence for shunting inhibitory cellular neural networks with oscillating coefficients in leakage terms. Neurocomputing 165:159–162 CrossRef

22.

Long Z (2016) New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing 171(1):503–509 CrossRef

23.

Liu X (2015) Improved convergence criteria for HCNNs with delays and oscillating coefficients in leakage terms. Neural Comput Appl. doi: 10.1007/s00521-015-1906-z

24.

Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504 CrossRef

25.

Chen H, Ni D, Qin J, Li S, Yang X, Wang T, Heng PA (2015) Standard plane localization in fetal ultrasound via domain transferred deep neural networks. IEEE J Biomed Health Inform 19(5):1627–1636 CrossRef

26.

Wang XZ, Ashfaq RAR, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29(3):1185–1196 MathSciNetCrossRef

27.

Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28(5):2329–2330 CrossRef

28.

Wang XZ, He YL, Dong LC, Zhao HY (2011) Particle swarm optimization for determining fuzzy measures from data. Inf Sci 181(19):4230–4252 CrossRefMATH

29.

He YL, Wang XZ, Huang JZX (2016) Fuzzy nonlinear regression analysis using a random weight network. Inf Sci doi:10.1016/j.ins.2016.01.037 (in press)

Title: Anti-periodic solutions for cellular neural networks with oscillating coefficients in leakage terms
Author:: Qiyuan Zhou
Publication date: 23-04-2016
DOI: https://doi.org/10.1007/s13042-016-0531-1
Publisher: Springer Berlin Heidelberg
Journal: International Journal of Machine Learning and Cybernetics
Issue 5/2017
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X

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