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Neural Computing and Applications
Published in: Neural Computing and Applications 5/2020

10-08-2018 | Original Article

\((\mu ,\nu )\)-Pseudo-almost automorphic solutions for high-order Hopfield bidirectional associative memory neural networks

Authors: Chaouki Aouiti, Farah Dridi

Published in: Neural Computing and Applications | Issue 5/2020

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Abstract

This article is concerned with a high-order Hopfield bidirectional associative memory neural networks with time-varying coefficients and mixed delays. Sufficient conditions are derived for the existence, the uniqueness and the exponential stability of \((\mu ,\nu )\)-pseudo-almost automorphic solutions of the considered model. Banach fixed-point theorem is applied for the existence and the uniqueness results. Global exponential stability is derived via differential inequalities. Finally, two examples are provided to support the feasibility of the theoretical results.
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Appendix
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Literature
1.
Abbas S, Yonghui XIA (2013) Existence and attractivity of \(k\)-almost automorphic sequence solution of a model of cellular neural networks with delay. Acta Math Sci 33(1):290–302MathSciNetCrossRef
2.
Abbas S, Mahto L, Hafayed M, Alimi AM (2014) Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients. Neurocomputing 142:326–334CrossRef
3.
Abbas S, Xia Y (2015) Almost automorphic solutions of impulsive cellular neural networks with piecewise constant argument. Neural Process Lett 42(3):691–702CrossRef
4.
Ait Dads EH, Ezzinbi K, Miraoui M (2015) \((\mu,\nu )\)-Pseudo almost automorphic solutions for some non-autonomous differential equations. Int J Math 26(11):1550090MathSciNetCrossRef
5.
6.
7.
Aouiti C (2018) Oscillation of impulsive neutral delay generalized high-order Hopfield neural networks. Neural Comput Appl 29(9):477–495CrossRef
8.
Aouiti C (2016) Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays. Cogn Neurodynamics 10(6):573–591MathSciNetCrossRef
9.
Aouiti C, M’hamdi MS, Chérif F (2017) New results for impulsive recurrent neural networks with time-varying coefficients and mixed delays. Neural Process Lett 46(2):487–506CrossRef
10.
Aouiti C, Coirault P, Miaadi F, Moulay E (2017) Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays. Neurocomputing 260:378–392CrossRef
11.
Aouiti C, M’hamdi MS, Touati A (2017) Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays. Neural Process Lett 45(1):121–140CrossRef
12.
Aouiti C, M’hamdi MS, Cao J, Alsaedi A (2017) Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays. Neural Process Lett 45(2):615–648CrossRef
13.
14.
Aouiti C, Gharbia IB, Cao J, M’hamdi MS, Alsaedi A (2018) Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms. Chaos Solitons Fractals 107:111–127MathSciNetCrossRef
15.
Blot J, Cieutat P, Ezzinbi K (2012) Measure theory and pseudo almost automorphic functions: new developments and applications. Nonlinear Anal Theory Methods Appl 75(4):2426–2447MathSciNetCrossRef
16.
Cao J, Wang L (2002) Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Netw 13(2):457–463CrossRef
17.
Cao J, Liang J, Lam J (2004) Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D Nonlinear Phenom 199(3):425–436MathSciNetCrossRef
18.
Chang CY, Chung PC (2000) Two-layer competitive based Hopfield neural network for medical image edge detection. Opt Eng 39(3):695–704CrossRef
19.
Chang CA, Angkasith V (2001) Using Hopfield neural networks for operational sequencing for prismatic parts on NC machines. Eng Appl Artif Intell 14(3):357–368CrossRef
20.
Chang YK, Luo XX (2014) Existence of \(\mu\)-pseudo almost automorphic solutions to a neutral differential equation by interpolation theory. Filomat 28(3):603–614MathSciNetCrossRef
21.
Chen A, Huang L, Cao J (2003) Existence and stability of almost periodic solution for BAM neural networks with delays. Appl Math Comput 137(1):177–193MathSciNetMATH
22.
Choi E, Schuetz A, Stewart WF, Sun J (2016) Using recurrent neural network models for early detection of heart failure onset. J Am Med Inform Assoc 24(2):361–370
23.
Diagana T (2013) Almost automorphic type and almost periodic type functions in abstract spaces. Springer, New YorkCrossRef
24.
Ait Dads EH, Drisi N, Ezzinbi K, Ziat M (2016) Exponential dichotomy and \((\mu , \nu )\)-Pseudo almost automorphic solutions for some ordinary differential equations. Commun Optim Theory 2016:6
25.
Ezzinbi K, Fatajou S, N’Guérékata GM (2009) Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces. Nonlinear Anal Theory Methods Appl 70(4):1641–1647MathSciNetCrossRef
26.
Gui R, Yang Z (2006) Application of Hopfield neural network for extracting Doppler spectrum from ocean echo. Radio Sci 41(4):RS4S90-1–RS4S90-6CrossRef
27.
Huo HF, Li WT, Tang S (2009) Dynamics of high-order BAM neural networks with and without impulses. Appl Math Comput 215(6):2120–2133MathSciNetMATH
28.
Jagannatha AN, Yu H (2016, June). Bidirectional RNN for medical event detection in electronic health records. In: Proceedings of the conference. Association for Computational Linguistics. North American Chapter. Meeting (Vol 2016, p 473). NIH Public Access
29.
Kavitha V, Wang PZ, Murugesu R (2013) Existence of weighted pseudo almost automorphic mild solutions to fractional integro-differential equations. J Fract Calc Appl 4(1):37–55
30.
Liang J, Zhang J, Xiao TJ (2008) Composition of pseudo almost automorphic and asymptotically almost automorphic functions. J Math Anal Appl 340(2):1493–1499MathSciNetCrossRef
31.
32.
Ma F, Chitta R, Zhou J, You Q, Sun T, Gao J (2017, August). Dipole: Diagnosis prediction in healthcare via attention-based bidirectional recurrent neural networks. In: Proceedings of the 23rd ACM SIGKDD international conference on knowledge discovery and data mining (pp 1903-1911). ACM
33.
34.
Miraoui M (2017) \(\mu\)-Pseudo-Almost Automorphic Solutions for some Differential Equations with Reflection of the Argument. Numer Funct Anal Optim 38(3):376–394MathSciNetCrossRef
35.
Pu Z, Rao R (2018) Exponential stability criterion of high-order BAM neural networks with delays and impulse via fixed point approach. Neurocomputing 292:63–71CrossRef
36.
Ren F, Cao J (2007) Periodic oscillation of higher-order bidirectional associative memory neural networks with periodic coefficients and delays. Nonlinearity 20(3):605MathSciNetCrossRef
37.
Sammouda R, Mathkour HB (2015) Lung region segmentation using artificial neural network hopfield model for cancer diagnosis in thorax CT images. Autom Control Intell Syst 3(2):19–25
38.
Sammouda RS, Wang X, Basilion JP (2015) Hopfield Neural Network for the segmentation of Near Infrared Fluorescent images for diagnosing prostate cancer. In: 2015 6th International conference on information and communication systems (ICICS), pp 111-118. IEEE
39.
Singh YP, Yadav SV, Gupta A, Khare A (2009) Bi directional associative memory neural network method in the character recognition. J Theor Appl Inf Technol 5(4):382–386
40.
Wang J, Jiang H, Hu C (2014) Existence and stability of periodic solutions of discrete-time Cohen-Grossberg neural networks with delays and impulses. Neurocomputing 142:542–550CrossRef
41.
42.
Yang W, Yu W, Cao J, Alsaadi FE, Hayat T (2017) Almost automorphic solution for neutral type high-order Hopfield BAM neural networks with time-varying leakage delays on time scales. Neurocomputing 267:241–260CrossRef
43.
Zhang L, Si L (2007) Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. Appl Math Comput 194(1):215–22MathSciNetCrossRef
44.
Zhou H, Zhou Z, Jiang W (2015) Almost periodic solutions for neutral type BAM neural networks with distributed leakage delays on time scales. Neurocomputing 157:223–230CrossRef
45.
Zhou H, Alzabut J (2017) Existence and stability of neutraltype BAM neural networks with time delay in the neutral and leakage terms on time scales. Glob J Pure Appl Math 13(2):589–616
Metadata
Title
-Pseudo-almost automorphic solutions for high-order Hopfield bidirectional associative memory neural networks
Authors
Chaouki Aouiti
Farah Dridi
Publication date
10-08-2018
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 5/2020
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-3651-6

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