Skip to main content
Erschienen in: Neural Processing Letters 2/2015

01.04.2015

Exponential Convergence of a SICNN with Leakage Delays and Continuously Distributed Delays of Neutral Type

verfasst von: Changhong Zhao, Zengyun Wang

Erschienen in: Neural Processing Letters | Ausgabe 2/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper concerns with a shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. By using Lyapunov functional method and differential inequality techniques, we employ a novel argument to establish a criterion on the global exponential convergence of the network. Our results complement some recent ones.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Bouzerdoum A, Pinter RB (1991) Analysis and analog implementation of directionally sensitive shunting inhibitory cellular neural networks. Visual Inform Process 1473:29–38 Bouzerdoum A, Pinter RB (1991) Analysis and analog implementation of directionally sensitive shunting inhibitory cellular neural networks. Visual Inform Process 1473:29–38
2.
Zurück zum Zitat Zhou Q, Xiao B, Yu Y, Lequn Peng (2007) Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Chaos Solitons Fractals 34:860–866CrossRefMATHMathSciNet Zhou Q, Xiao B, Yu Y, Lequn Peng (2007) Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Chaos Solitons Fractals 34:860–866CrossRefMATHMathSciNet
3.
Zurück zum Zitat Li Y, Meng H, Zhou Q (2008) Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients. J Comput Appl Math 216:164–169CrossRefMATHMathSciNet Li Y, Meng H, Zhou Q (2008) Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients. J Comput Appl Math 216:164–169CrossRefMATHMathSciNet
4.
Zurück zum Zitat Ou C (2009) Almost periodic solutions for shunting inhibitory cellular neural networks. Nonlinear Anal Real World Appl 10:2652–2658CrossRefMATHMathSciNet Ou C (2009) Almost periodic solutions for shunting inhibitory cellular neural networks. Nonlinear Anal Real World Appl 10:2652–2658CrossRefMATHMathSciNet
5.
Zurück zum Zitat Peng GQ, Huang LH (2009) Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 10:2434–2440CrossRefMATHMathSciNet Peng GQ, Huang LH (2009) Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 10:2434–2440CrossRefMATHMathSciNet
6.
7.
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 22:528–533CrossRefMATHMathSciNet Xiao B (2009) Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays. Appl Math Lett 22:528–533CrossRefMATHMathSciNet
8.
Zurück zum Zitat Bai C (2009) Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays. Nonlinear Anal 71:5850–5859CrossRefMATHMathSciNet Bai C (2009) Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays. Nonlinear Anal 71:5850–5859CrossRefMATHMathSciNet
9.
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
10.
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 13:1186–1196CrossRefMATHMathSciNet 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 13:1186–1196CrossRefMATHMathSciNet
11.
Zurück zum Zitat Haykin S (1994) Neural networks. Prentice-Hall, New JerseyMATH Haykin S (1994) Neural networks. Prentice-Hall, New JerseyMATH
12.
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
13.
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
14.
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
15.
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 941063:11. doi:10.1155/2012/941063 MathSciNet 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 941063:11. doi:10.​1155/​2012/​941063 MathSciNet
16.
Zurück zum Zitat Zhang A (2013) Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays. Adv Differ Equ 2013(162):1–14 Zhang A (2013) Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays. Adv Differ Equ 2013(162):1–14
17.
Zurück zum Zitat Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal 14:559–566CrossRefMATH Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal 14:559–566CrossRefMATH
18.
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
Metadaten
Titel
Exponential Convergence of a SICNN with Leakage Delays and Continuously Distributed Delays of Neutral Type
verfasst von
Changhong Zhao
Zengyun Wang
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/s11063-014-9341-1

Weitere Artikel der Ausgabe 2/2015

Neural Processing Letters 2/2015 Zur Ausgabe