Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Neural Computing and Applications
Erschienen in: Neural Computing and Applications 5/2014

01.10.2014 | Original Article

Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties

verfasst von: Wei Feng, Simon X. Yang, Haixia Wu

Erschienen in: Neural Computing and Applications | Ausgabe 5/2014

Einloggen

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

search-config
loading …

Abstract

This paper deals with the global robust stability problem of dynamical bidirectional associative memory neural networks with multiple time delays under parameter uncertainties. Using some new upper bound norms for the interconnection matrices of the neural networks and constructing suitable Lyapunov functional, we derive novel conditions for the global robust asymptotic stability of equilibrium point. The obtained results can be easily verified as they can be expressed in terms of the network parameters only. It is shown that the established stability condition generalizes some existing ones, and it can be considered to an alternative result to some other corresponding results derived in previous literature. We also provide two comparative numerical examples to illustrate the advantages of our result over the previously published corresponding robust stability results.
Vorheriger Artikel Predicting thermodiffusion in an arbitrary binary liquid hydrocarbon mixtures using artificial neural networks
Nächster Artikel Non-homogenous discrete grey model with fractional-order accumulation

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
Literatur
1.
2.
Cai Z, Huang L (2014) Functional differential inclusions and dynamic behaviours for memoriter-based BAM neural networks with time-varying delays. Commun Nonlinear Sci Numer Simul 19(5):1279–1300MathSciNetCrossRef
3.
Arik S (2005) Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays. IEEE Trans Neural Netw 16(3):580–586CrossRef
4.
Zhang A, Qiu J, She J (2014) Existence and global exponential stability of periodic solution for high-order discrete-time BAM neural networks. Neural Netw 50:98–109CrossRef
5.
Cao J, Xiao M (2007) Stability and hopf bifurcation in a simplified BAM neural network with two time delays. IEEE Trans Neural Netw 18(2):416–430MathSciNetCrossRef
6.
Du Y, Zhong S, Zhou N, Shi K, Cheng J (2014) Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. Neurocomputing 127:144–151CrossRef
7.
Stamova IM, Ilarionov R, Krustev K (2011) Asymptotic behaviour of equilibriums of a class of impulsive bidirectional associative memory neural networks with time-varying delays. Neural Comput Appl 20(7):1111–1116CrossRef
8.
Lakshmanan S, Park JH, Lee TH, Jung HY, Rakkiyappan R (2013) Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays. Appl Math Comput 219(17):9408–9423MathSciNetCrossRefMATH
9.
Li X, Rakkiyappan R (2013) Stability results for Takagi–Sugeno fuzzy uncertain BAM neural networks with time delays in the leakage term. Neural Comput Appl 22(1):203–219
10.
Li Y, Li Y (2013) Existence and exponential stability of almost periodic solution for neutral delay BAM neural networks with time-varying delays in leakage terms. J Franklin Inst 350(9):2808–2825MathSciNetCrossRefMATH
11.
Duan L, Huang L (2013) Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms. Neural Comput Appl 23(1):171–178
12.
Zhao Z, Liu F, Xie X, Liu X, Tang Z (2013) Asymptotic stability of bidirectional associative memory neural networks with time-varying delays via delta operator approach. Neurocomputing 117:40–46CrossRef
13.
Huang T, Huang Y, Li C (2008) Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71(16):3064–3069CrossRef
14.
Liao X, Wong KW (2003) Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays. Phys Rev E 67(4):042901MathSciNetCrossRef
15.
Liu XG, Martin RR, Wu M, Tang ML (2008) Global exponential stability of bidirectional associative memory neural networks with time delays. IEEE Trans Neural Netw 19(3):397–407CrossRef
16.
Song Q, Cao J (2007) Dynamics of bidirectional associative memory networks with distributed delays and reaction–diffusion terms. Nonlinear Anal Real World Appl 8(1):345–361MathSciNetCrossRefMATH
17.
Zhou Y, Zhong S, Ye M, Shi Z (2009) Global asymptotic stability analysis of nonlinear differential equations in hybrid bidirectional associative memory neural networks with distributed time-varying delays. Neurocomputing 72(7):1803–1807CrossRef
18.
Zhang Z, Liu K, Yang Y (2012) New LMI-based condition on global asymptotic stability concerning BAM neural networks of neutral type. Neurocomputing 81:24–32CrossRef
19.
Li X, Fu X (2011) Global asymptotic stability of stochastic Cohen–Grossberg-type BAM neural networks with mixed delays: an LMI approach. J Comput Appl Math 235(12):3385–3394MathSciNetCrossRefMATH
20.
Li X (2009) Exponential stability of Cohen–Grossberg-type BAM neural networks with time-varying delays via impulsive control. Neurocomputing 73(1):525–530CrossRef
21.
Li X, Rakkiyappan R (2013) Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Commun Nonlinear Sci Numer Simul 18(6):1515–1523MathSciNetCrossRefMATH
22.
Cao J, Huang DS, Qu Y (2005) Global robust stability of delayed recurrent neural networks. Chaos, Solitons Fractals 23(1):221–229MathSciNetCrossRefMATH
23.
Li X, Jia J (2013) Global robust stability analysis for BAM neural networks with time-varying delays. Neurocomputing 120:499–503CrossRef
24.
Liao X, Wong KW (2004) Robust stability of interval bidirectional associative memory neural network with time delays. IEEE Trans Syst Man Cybern B Cybern 34(2):1142–1154CrossRef
25.
Lou X, Cui B (2006) On the global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 70(1):273–279MathSciNetCrossRef
26.
Ozcan N, Arik S (2009) A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays. Nonlinear Anal Real World Appl 10(5):3312–3320MathSciNetCrossRef
27.
Mathiyalagan K, Sakthivel R, Marshal Anthoni S (2012) New robust passivity criteria for stochastic fuzzy BAM neural networks with time-varying delays. Commun Nonlinear Sci Numer Simul 17(3):1392–1407MathSciNetCrossRefMATH
28.
Zhou Q, Wan L (2010) Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: an LMI approach. Appl Math Comput 216(5):1538–1545MathSciNetCrossRefMATH
29.
He Q, Liu D, Wu H, Ding S (2014) Robust exponential stability analysis for interval Cohen–Grossberg type BAM neural networks with mixed time delays. Int J Mach Learn Cybern 5(1):23–38
30.
Balasubramaniam P, Vembarasan V (2011) Robust stability of uncertain fuzzy BAM neural networks of neutral-type with Markovian jumping parameters and impulses. Comput Math Appl 62(4):1838–1861MathSciNetCrossRefMATH
31.
Senan S, Arik S, Liu D (2012) New robust stability results for bidirectional associative memory neural networks with multiple time delays. Appl Math Comput 218(23):11472–11482MathSciNetCrossRefMATH
32.
Senan S, Arik S (2007) Global robust stability of bidirectional associative memory neural networks with multiple time delays. IEEE Trans Syst Man Cybern B Cybern 37(5):1375–1381CrossRef
33.
Faydasicok O, Arik S (2013) A new upper bound for the norm of interval matrices with application to robust stability analysis of delayed neural networks. Neural Netw 44:64–71
34.
Ensari T, Arik S (2010) New results for robust stability of dynamical neural networks with discrete time delays. Expert Syst Appl 37(8):5925–5930CrossRef
35.
Singh V (2007) Global robust stability of delayed neural networks: estimating upper limit of norm of delayed connection weight matrix. Chaos, Solitons Fractals 32(1):259–263MathSciNetCrossRefMATH
Metadaten
Titel
Improved robust stability criteria for bidirectional associative memory neural networks under parameter uncertainties
verfasst von
Wei Feng
Simon X. Yang
Haixia Wu
Publikationsdatum
01.10.2014
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 5/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1600-6

Weitere Artikel der Ausgabe 5/2014

Neural Computing and Applications 5/2014 Zur Ausgabe

Original Article

Application of Markov chains on image enhancement

Original Article

Modeling and analysis of departure routine in air traffic control based on Petri nets

Original Article

Robust IMC–PID tuning for cascade control systems with gain and phase margin specifications

Original Article

Global attractive sets of a novel bounded chaotic system

Original Article

Modeling and simulation of static loads for wind power applications

Review

An overview on nonparallel hyperplane support vector machine algorithms