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Neural Processing Letters
Published in: Neural Processing Letters 1/2018

15-05-2017

Almost Periodic Solutions for SICNNs with Neutral Type Proportional Delays and D Operators

Author: Aiping Zhang

Published in: Neural Processing Letters | Issue 1/2018

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Abstract

This article is concerned with shunting inhibitory cellular neural networks involving neutral type proportional delays and D operators. Applying Lyapunov functional method and differential inequality techniques, we employ a novel argument to establish some new criteria on the existence and generalized exponential stability of almost periodic solutions of the addressed systems. In addition, numerical simulations are carried out to verify our theoretical findings.
previous article Discriminant Analysis with Local Gaussian Similarity Preserving for Feature Extraction
next article Mittag–Leffler Stability and Global Asymptotically -Periodicity of Fractional-Order BAM Neural Networks with Time-Varying Delays

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Literature
1.
Xiao B (2009) Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays. Appl Math Lett 22:528–533MathSciNetCrossRefMATH
2.
Mandal S, Majee NC (2011) Existence of periodic solutions for a class of Cohen–Grossberg type neural networks with neutral delays. Neurocomputing 74(6):1000–1007CrossRef
3.
Liu B (2015) Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays. Neurocomputing 148:445–454CrossRef
4.
Yu Y (2017) Global exponential convergence for a class of neutral functional differential equations with proportional delays. Math Methods Appl Sci 39:4520–4525MathSciNetCrossRefMATH
5.
Yu Y (2016) Global exponential convergence for a class of HCNNs with neutral time-proportional delays. Appl Mathods Comput 285:1–7MathSciNetCrossRef
6.
Chen Z (2013) A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput Appl 23:2429–2434CrossRef
7.
Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504CrossRef
8.
Zhao C, Wang Z (2015) Exponential convergence of a SICNN with leakage delays and continuously distributed delays of neutral type. Neural Process Lett 41:239–247CrossRef
9.
Wang W, Liu B (2014) Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays. Abst Appl Anal 967328:1–17MathSciNet
10.
Komanovskii VB, Nosov VR (1986) Stability of functional differential equations. Academic, London
11.
Kuang Y (1993) Delay differential equations with applications in population dynamical system. Academic, New YorkMATH
12.
Liu B, Huang L (2006) Existence and uniqueness of periodic solutions for a kind of first order neutral functional differential equations. J Mathods Anal Appl 322(1):121–132MathSciNetCrossRefMATH
13.
14.
Candan T (2016) Existence of positive periodic solutions of first order neutral differential equations with variable coefficients. Appl Mathods Lett 52:142–148MathSciNetCrossRefMATH
15.
Yao L (2017) Global exponential convergence of neutral type shunting inhibitory cellular neural networks with D operator. Neural Process Lett 45:401–409CrossRef
16.
17.
Ockendon JR, Tayler AB (1971) The dynamics of a current collection system for an electric locomotive. Proc R Soc Lond Ser A Math Phys Eng Sci 322(1551):447–468CrossRef
18.
Liu B (2016) Global exponential convergence of non-autonomous cellular neural networks with multi-proportional delays. Neurocomputing 191:352–355CrossRef
19.
Liu B (2017) Finite-time stability of CNNs with neutral proportional delays and time-varying leakage delays. Math Methods Appl Sci 40:167–174MathSciNetCrossRefMATH
20.
Fink AM (1974) Almost periodic differential equations. Lecture notes in mathematics. Springer, BerlinCrossRefMATH
21.
22.
Liu B, Huang L (2007) Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays. Chaos Solitons Fractals 32:95–103MathSciNetCrossRefMATH
23.
24.
25.
Yu Y (2017) Exponential stability of pseudo almost periodic solutions for cellular neural networks with multi-proportional delays. Neural Process Lett 45:141–151CrossRef
26.
27.
Hale JK (1980) Ordinary differential equations. Krieger, MalabarMATH
Metadata
Title
Almost Periodic Solutions for SICNNs with Neutral Type Proportional Delays and D Operators
Author
Aiping Zhang
Publication date
15-05-2017
Publisher
Springer US
Published in
Neural Processing Letters / Issue 1/2018
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9631-5

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