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Erschienen in: Neural Processing Letters 2/2015

01.04.2015

Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms

verfasst von: Yanli Xu

Erschienen in: Neural Processing Letters | Ausgabe 2/2015

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Abstract

This paper concerns with bidirectional associative memory neural network model with continuously distributed leakage delays. By applying Lyapunov functional method and differential inequality techniques, we establish some sufficient conditions for the existence and exponential stability of periodic solutions for the model, which complement with some recent ones. Moreover, an example and its numerical simulation are given to support the theoretical results.

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Literatur
1.
Zurück zum Zitat Haykin S (1994) Neural networks. Prentice-Hall, Upper Saddle RiverMATH Haykin S (1994) Neural networks. Prentice-Hall, Upper Saddle RiverMATH
2.
Zurück zum Zitat Kosok B (1992) Neural networks and fuzzy systems. Prentice-Hall, New Delhi Kosok B (1992) Neural networks and fuzzy systems. Prentice-Hall, New Delhi
3.
Zurück zum Zitat Gopalsamy K (1992) Stability and oscillations in delay differential equations of population dynamics. Kluwer Academic Publishers, DordrechtCrossRefMATH Gopalsamy K (1992) Stability and oscillations in delay differential equations of population dynamics. Kluwer Academic Publishers, DordrechtCrossRefMATH
5.
Zurück zum Zitat Li X, Cao J (2010) Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 23:1709–1726CrossRefMATHMathSciNet Li X, Cao J (2010) Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 23:1709–1726CrossRefMATHMathSciNet
6.
Zurück zum Zitat Li X, Rakkiyappan R, Balasubramaniam P (2011) Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J Franklin Inst 348:135–155CrossRefMATHMathSciNet Li X, Rakkiyappan R, Balasubramaniam P (2011) Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J Franklin Inst 348:135–155CrossRefMATHMathSciNet
7.
Zurück zum Zitat Balasubramaniam P, Vembarasan V, Rakkiyappan R (2011) Leakage delays in T-S fuzzy cellular neural networks. Neural Process Lett 33:111–136CrossRef Balasubramaniam P, Vembarasan V, Rakkiyappan R (2011) Leakage delays in T-S fuzzy cellular neural networks. Neural Process Lett 33:111–136CrossRef
8.
9.
Zurück zum Zitat Gan Q, Liang Y (2012) Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control. J Franklin Inst 349(6):1955–1971CrossRefMATHMathSciNet Gan Q, Liang Y (2012) Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control. J Franklin Inst 349(6):1955–1971CrossRefMATHMathSciNet
10.
Zurück zum Zitat Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal Real World Appl 14:559–566CrossRefMATHMathSciNet Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal Real World Appl 14:559–566CrossRefMATHMathSciNet
11.
12.
Zurück zum Zitat Chen Z, Liu B (2013) Convergence behavior of Cohen–Grossberg neural networks with time-varying delays in the leakage terms. Neurocomputing. 120:518–523 Chen Z, Liu B (2013) Convergence behavior of Cohen–Grossberg neural networks with time-varying delays in the leakage terms. Neurocomputing. 120:518–523
13.
15.
Zurück zum Zitat Chen Z (2012) A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput Applic. doi:10.1007/s00521-012-1200-2 Chen Z (2012) A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput Applic. doi:10.​1007/​s00521-012-1200-2
16.
Zurück zum Zitat Chen Z, Meng J (2012) Exponential convergence for cellular neural networks with time-varying delays in the leakage terms, hindawi Publishing Corporation, Abstr Appl Anal ID 941063:11 pages, doi:10.1155/2012/941063 Chen Z, Meng J (2012) Exponential convergence for cellular neural networks with time-varying delays in the leakage terms, hindawi Publishing Corporation, Abstr Appl Anal ID 941063:11 pages, doi:10.​1155/​2012/​941063
17.
Zurück zum Zitat Peng S (2010) Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal Real World Appl 11:2141–2151CrossRefMATHMathSciNet Peng S (2010) Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal Real World Appl 11:2141–2151CrossRefMATHMathSciNet
18.
Zurück zum Zitat Hino Y, Murakami S, Nai T (1991) Functional differential equations with infinite delay. Lecture in mathematics. Springer, Berlin Hino Y, Murakami S, Nai T (1991) Functional differential equations with infinite delay. Lecture in mathematics. Springer, Berlin
19.
Zurück zum Zitat Yuehua Yu, Weidong Jiao (2013) New results on exponential convergence for HRNNs with continuously distributed delays in the leakage terms. Neural Process Lett. doi: 10.1007/s11063-013-9296-7 Yuehua Yu, Weidong Jiao (2013) New results on exponential convergence for HRNNs with continuously distributed delays in the leakage terms. Neural Process Lett. doi: 10.​1007/​s11063-013-9296-7
Metadaten
Titel
Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms
verfasst von
Yanli Xu
Publikationsdatum
01.04.2015
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2015
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-014-9346-9

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