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Erschienen in: Neural Computing and Applications 1/2018

24.06.2016 | Original Article

Global convergence of CNNs with neutral type delays and D operator

verfasst von: Luogen Yao

Erschienen in: Neural Computing and Applications | Ausgabe 1/2018

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Abstract

A model of cellular neural networks with neutral type delays and D operator is proposed. Applying appropriate differential inequality techniques, several sufficient conditions are derived to ensure the global exponential convergence of solutions for the proposed neural networks. Finally, a numerical simulation example is given to illustrate the effectiveness of the obtained results.

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Literatur
1.
2.
Zurück zum Zitat Wu J (2001) Introduction to neural dynamics and signal transmission delay. Walter de Gruyter, BelinCrossRefMATH Wu J (2001) Introduction to neural dynamics and signal transmission delay. Walter de Gruyter, BelinCrossRefMATH
3.
Zurück zum Zitat Kwon O, Lee S, Park J (2010) Improved results on stability analysis of neural networks with time-varying delays: novel delay-dependent criteria. Mod Phys Lett B 24:775–789CrossRefMATH Kwon O, Lee S, Park J (2010) Improved results on stability analysis of neural networks with time-varying delays: novel delay-dependent criteria. Mod Phys Lett B 24:775–789CrossRefMATH
4.
Zurück zum Zitat Kwon O, Park J (2009) Exponential stability analysis for uncertain neural networks with interval time-varying delays. Appl Math Comput 212:530–541MathSciNetMATH Kwon O, Park J (2009) Exponential stability analysis for uncertain neural networks with interval time-varying delays. Appl Math Comput 212:530–541MathSciNetMATH
5.
Zurück zum Zitat Liu B (2016) Global exponential convergence of non-autonomous cellular neural networks with multi-proportional delays. Neurocomputing 191:352–355CrossRef Liu B (2016) Global exponential convergence of non-autonomous cellular neural networks with multi-proportional delays. Neurocomputing 191:352–355CrossRef
6.
Zurück zum Zitat Yao L (2016) Global exponential convergence of neutral type shunting inhibitory cellular neural networks with D operator. Neural Process Lett. doi:10.1007/s11063-016-9529-7 Yao L (2016) Global exponential convergence of neutral type shunting inhibitory cellular neural networks with D operator. Neural Process Lett. doi:10.​1007/​s11063-016-9529-7
8.
Zurück zum Zitat Komanovskii VB, Nosov VR (1986) Stability of functional differential equations. Academic Press, London Komanovskii VB, Nosov VR (1986) Stability of functional differential equations. Academic Press, London
9.
Zurück zum Zitat Kuang Y (1993) Delay differential equations with applications in population dynamical system. Academic Press, New YorkMATH Kuang Y (1993) Delay differential equations with applications in population dynamical system. Academic Press, New YorkMATH
10.
Zurück zum Zitat Gui Z, Ge W, Yang X (2007) Periodic oscillation for a Hopfield neural networks with neutral delays. Phys Lett A 364(3–4):267–273CrossRefMATH Gui Z, Ge W, Yang X (2007) Periodic oscillation for a Hopfield neural networks with neutral delays. Phys Lett A 364(3–4):267–273CrossRefMATH
11.
Zurück zum Zitat 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 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
12.
Zurück zum Zitat 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 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
13.
Zurück zum Zitat Li L, Fang Z, Yang Y (2012) A shunting inhibitory cellular neural network with continuously distributed delays of neutral type. Nonlinear Anal Real World Appl 13:1186–1196MathSciNetCrossRefMATH Li L, Fang Z, Yang Y (2012) A shunting inhibitory cellular neural network with continuously distributed delays of neutral type. Nonlinear Anal Real World Appl 13:1186–1196MathSciNetCrossRefMATH
14.
Zurück zum Zitat 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 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
15.
Zurück zum Zitat Liu B (2015) Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays. Neurocomputing 148:445–454CrossRef Liu B (2015) Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays. Neurocomputing 148:445–454CrossRef
16.
Zurück zum Zitat Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504CrossRef Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504CrossRef
17.
Zurück zum Zitat 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 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
18.
Zurück zum Zitat Yu Y (2016) Global exponential convergence for a class of neutral functional differential equations with proportional delays. Meth Appl Sci Math. doi:10.1002/mma.3880 Yu Y (2016) Global exponential convergence for a class of neutral functional differential equations with proportional delays. Meth Appl Sci Math. doi:10.​1002/​mma.​3880
19.
Zurück zum Zitat Yu Y (2016) Global exponential convergence for a class of HCNNs with neutral time-proportional delays. Appl Math Comput 285:1–7MathSciNet Yu Y (2016) Global exponential convergence for a class of HCNNs with neutral time-proportional delays. Appl Math Comput 285:1–7MathSciNet
20.
Zurück zum Zitat Peng L, Wang L (2014) Periodic solutions for first order neutral functional differential equations with multiple deviating arguments. Ann Polon Math 111(2):197–213MathSciNetCrossRefMATH Peng L, Wang L (2014) Periodic solutions for first order neutral functional differential equations with multiple deviating arguments. Ann Polon Math 111(2):197–213MathSciNetCrossRefMATH
21.
Zurück zum Zitat Candan T (2016) Existence of positive periodic solutions of first order neutral differential equations with variable coefficients. Appl Math Lett 52:142–148MathSciNetCrossRefMATH Candan T (2016) Existence of positive periodic solutions of first order neutral differential equations with variable coefficients. Appl Math Lett 52:142–148MathSciNetCrossRefMATH
22.
Zurück zum Zitat Jiang A (2015) Exponential convergence for shunting inhibitory cellular neural networks with oscillating coefficients in leakage terms. Neurocomputing 165:159–162CrossRef Jiang A (2015) Exponential convergence for shunting inhibitory cellular neural networks with oscillating coefficients in leakage terms. Neurocomputing 165:159–162CrossRef
23.
Zurück zum Zitat Jiang A (2016) Exponential convergence for HCNNs with oscillating coefficients in leakage terms. Neural Process Lett 43:285–294CrossRef Jiang A (2016) Exponential convergence for HCNNs with oscillating coefficients in leakage terms. Neural Process Lett 43:285–294CrossRef
24.
Zurück zum Zitat Zhang H, Liu X, Yang M (2015) Globally exponential stability of a delay reduced SIR model for migrant workers’ home residence. Appl Math Lett 50:119–125MathSciNetCrossRefMATH Zhang H, Liu X, Yang M (2015) Globally exponential stability of a delay reduced SIR model for migrant workers’ home residence. Appl Math Lett 50:119–125MathSciNetCrossRefMATH
25.
Zurück zum Zitat Long Z (2016) New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing 171(1):503–509CrossRef Long Z (2016) New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing 171(1):503–509CrossRef
26.
Zurück zum Zitat Liu X (2016) Improved convergence criteria for HCNNs with delays and oscillating coefficients in leakage terms. Neural Comput Appl 27:917–925CrossRef Liu X (2016) Improved convergence criteria for HCNNs with delays and oscillating coefficients in leakage terms. Neural Comput Appl 27:917–925CrossRef
Metadaten
Titel
Global convergence of CNNs with neutral type delays and D operator
verfasst von
Luogen Yao
Publikationsdatum
24.06.2016
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 1/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-016-2403-8

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