Skip to main content
Erschienen in: Neural Processing Letters 3/2015

01.06.2015

New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays

verfasst von: Aiping Zhang

Erschienen in: Neural Processing Letters | Ausgabe 3/2015

Einloggen

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

search-config
loading …

Abstract

This paper discusses the issue of a class of cellular neural networks with continuously distributed delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, without assuming the boundedness conditions on the activation functions, a new delay dependent sufficient condition is derived to ensure that all solutions of the networks converge exponentially to the zero point, which corrects some recent results of Xiong and Meng (Electron J Qual Theory Differ Equ, (10):1–12, 2013. http://​www.​math.​u-szeged.​hu/​ejqtde/​).

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.
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
4.
Zurück zum Zitat Park JH (2006) Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Appl Math Comput 182:1661–1666CrossRefMATHMathSciNet Park JH (2006) Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Appl Math Comput 182:1661–1666CrossRefMATHMathSciNet
5.
Zurück zum Zitat Li X, Ding C, Zhu Q (2010) Synchronization of stochastic perturbed chaotic neural networks with mixed delays. J Franklin Inst 347:1266–1280CrossRefMATHMathSciNet Li X, Ding C, Zhu Q (2010) Synchronization of stochastic perturbed chaotic neural networks with mixed delays. J Franklin Inst 347:1266–1280CrossRefMATHMathSciNet
6.
Zurück zum Zitat Kwon O, Park J (2008) Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays. J Franklin Inst 345:766–778CrossRefMATHMathSciNet Kwon O, Park J (2008) Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays. J Franklin Inst 345:766–778CrossRefMATHMathSciNet
7.
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
8.
10.
Zurück zum Zitat Hino Y, Murakami S, Nai T (1991) Functional differential equations with infinite delay. Lecture in Mathematics, 1473. Springer, Berlin Hino Y, Murakami S, Nai T (1991) Functional differential equations with infinite delay. Lecture in Mathematics, 1473. Springer, Berlin
12.
13.
Zurück zum Zitat Chua LO, Roska T (1990) Cellular neural networks with nonlinear and delay-type template elements In: Proceedings of 1990 IEEE international workshop on cellular neural networks and their applications, pp 12–25 Chua LO, Roska T (1990) Cellular neural networks with nonlinear and delay-type template elements In: Proceedings of 1990 IEEE international workshop on cellular neural networks and their applications, pp 12–25
14.
Zurück zum Zitat Huang L, Li X (2007) Dynamics cellular neural networks. Science Press, Beijing [In Chinese] Huang L, Li X (2007) Dynamics cellular neural networks. Science Press, Beijing [In Chinese]
15.
17.
Zurück zum Zitat Zhao C, Wang Z (2014) Exponential convergence of a SICNN with leakage delays and continuously distributed delays of neutral type. Neural Process Lett. doi:10.1007/s11063-014-9341-1 Zhao C, Wang Z (2014) Exponential convergence of a SICNN with leakage delays and continuously distributed delays of neutral type. Neural Process Lett. doi:10.​1007/​s11063-014-9341-1
18.
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
Metadaten
Titel
New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays
verfasst von
Aiping Zhang
Publikationsdatum
01.06.2015
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2015
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-014-9348-7

Weitere Artikel der Ausgabe 3/2015

Neural Processing Letters 3/2015 Zur Ausgabe