nach oben

Neural Computing and Applications

Erschienen in:

01.12.2013 | Original Article

Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms

verfasst von: Lian Duan, Lihong Huang

Erschienen in: Neural Computing and Applications | Sonderheft 1/2013

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms are studied. Sufficient conditions for the global exponential stability of equilibrium point are established by constructing suitable Lyapunov functional and differential inequality techniques, which complement and improve the main results of Zhang et al. (Adv Differ Equ 8:1–12; 2011) and Gopalsamy (J Math Anal Appl 325:1117–1132; 2007). Moreover, an example is given to demonstrate the feasibility of our method.

Vorheriger Artikel Incorporating the effects of hike in energy prices into energy consumption forecasting: a fuzzy expert system

Nächster Artikel A least-square-driven functional networks type-2 fuzzy logic hybrid model for efficient petroleum reservoir properties prediction

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

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Kosko B (1987) Adaptive bi-directional associative memories. Appl Opt 26(23):4947–4960CrossRef

Kosko B (1988) Bi-directional associative memories. IEEE Trans Syst Man Cybernet 18(1):49–60MathSciNetCrossRef

Liu B, Huang L (2006) Global exponential stability of BAM neural networks with recent-history distributed delays and impulses. Neurocomputing 69:2090–2096CrossRef

Zhu Q, Li X, Yang X (2011) Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays. Appl Math Comput 217:6078–6091MathSciNetCrossRefMATH

Zhang Z, Liu K (2011) Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales. Neural Netw 24:427–439CrossRefMATH

Bao G, Zeng Z (2012) Analysis and design of associative memories based on recurrent neural network with discontinuous activation functions. Neurocomputing 77:101–107CrossRef

Gopalsamy K, He X (1994) Stability in asymmetric Hopfield nets with transmission delays. Phys D 76:344–358MathSciNetCrossRefMATH

Yang T, Yang L, Wu C, Chua L (1996) Fuzzy cellular neural networks: theory. In: Proceedings of IEEE international work shop on cellular neural networks and applications, pp 181–186

Yang T, Yang L, Wu C, Chua L (1996) Fuzzy cellular neural networks: applications. In: Proceedings of IEEE international work shop on cellular neural networks and applications, pp 225–230

10.

Syed Ali M, Balasubramaniam P (2009) Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Expert Syst Appl 36:10583–10588CrossRef

11.

Syed Ali M, Balasubramaniam P (2008) Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays. Phys Lett A 372:5159–5166MathSciNetCrossRefMATH

12.

Huang T, Huang Y, Li C (2008) Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71:3064–3069CrossRef

13.

Zhang Q, Yang L, Liao D (2011) Existence and globally exponential stability of equilibrium for fuzzy BAM neural networks with distributed delays and impulse. Adv Differ Equ 8:1–12MathSciNet

14.

Gopalsamy K (2007) Leakage delays in BAM. J Math Anal Appl 325:1117–1132MathSciNetCrossRefMATH

15.

Zhang X, Li K (2011) Integro-differential inequality and stability of BAM FCNNs with time delays in the leakage terms and distributed delays. J Inequal Appl 43:1–18MATH

16.

Balasubramaniam P, Kalpana M, Rakkiyappan R (2011) Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays. Circuits Syst Signal Process 30:1595–1616MathSciNetCrossRefMATH

17.

Balasubramaniam P, Kalpana M, Rakkiyappan R (2011) Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. Math Comput Modell 53:839–853MathSciNetCrossRefMATH

18.

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 348:135–155MathSciNetCrossRefMATH

19.

Long S, Song Q, Wang X, Li D (2012) Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations. J Franklin Inst. http://dx.doi.org/10.1016/j.jfranklin.2012.05.009

20.

Liu B (2012) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal Real World Appl. doi:10.1016/j.nonrwa.2012.016

Titel: Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms
verfasst von: Lian Duan
Lihong Huang
Publikationsdatum: 01.12.2013
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe Sonderheft 1/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-012-1289-3

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Sonderheft 1/2013

A least-square-driven functional networks type-2 fuzzy logic hybrid model for efficient petroleum reservoir properties prediction

A new mixed fuzzy-LP method for selecting the best supplier using fuzzy group decision making

Improvement of customers’ satisfaction with new product design using an adaptive neuro-fuzzy inference systems approach

International transmission of stock market movements: an adaptive neuro-fuzzy inference system for analysis of TAIEX forecasting

Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation

Hierarchical fuzzy CMAC control for nonlinear systems

Premium Partner