nach oben

Neural Computing and Applications

Erschienen in:

01.09.2013 | Original Article

Stability and existence of periodic solutions in inertial BAM neural networks with time delay

verfasst von: Ke Yunquan, Miao Chunfang

Erschienen in: Neural Computing and Applications | Ausgabe 3-4/2013

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, the global exponential stability and existence of periodic solutions for inertial BAM neural networks are investigated. The system is transformed to first-order differential equation with chosen variable substitution. Then, some new sufficient conditions that ensure the existence and exponential stability of periodic solutions for the system are obtained by constructing suitable Lyapunov function, using Weierstrass criteria and boundedness of solutions. Finally, an example is given to illustrate the effectiveness of the results.

Vorheriger Artikel Analysis of optimized signal processing algorithms for smart antenna system

Nächster Artikel Backbreak prediction in the Chadormalu iron mine using artificial neural network

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 Optim 26:4947–4960CrossRef

Kosko B (1988) Bi-directional associative memo-ries. IEEE Trans Syst Man Cybern 18:49–60MathSciNetCrossRef

Kosko B (1992) Neural networks and fuzzy systems—a dynamical system approach machine intelligence. Prentice-Hall, Englewood Cliffs, pp 38–108

Zhao HY (2002) Global stability of bidirectional associative memory neural networks with dis- tributed delays. Phys Lett A 297:182–190MathSciNetCrossRefMATH

Zhang J, Yang Y (2001) Global stability analysis of bi-directional associative memory neural networks with time delays. Int J Circuit Theor Appl 299:185–196CrossRef

Cao J, Dong M (2003) Exponential stability of delayed bi-directional associative memory neural networks. Appl Math Comput 142:333–339MathSciNetCrossRefMATH

Cao J, Wang L (2002) Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Netw 13(2):457–463CrossRef

Cao J, Xiao M (2007) Stability and Hopf bifurcation in a simplified BAM neural networks with two time delays. IEEE Trans Neural Netw 18(2):416–430MathSciNetCrossRef

Song Q, Cao J (2005) Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos Solitons Fractals 23:421–430MathSciNetCrossRefMATH

10.

Song Q, Cao J (2007) Dynamics of bidirectional associative memory networks with delays and reaction-diffusion terms. Nonlinear Anal 8:345–361MathSciNetCrossRefMATH

11.

Song Q, Cao J, Li YM (2005) Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Phys Lett A 335:231–225CrossRef

12.

Badcock KL, Westervelt RM (1987) Dynamics of simple electronic neural networks. Phys D 28:305–316MathSciNetCrossRef

13.

Tani J (1992) Proposal of chaotic steepest descent method for neural networks and analysis of their dynamics. Electron Commun Jpn 75(4):62–70MathSciNetCrossRef

14.

Tani J, Fujita M (1992) Coupling of memory search and mental rotation by a nonequilibrium dynamics neural network. IEICE Trans Fundam Electron Commun Comput Sci E E75-A(5):578–585

15.

Tani J (1996) Model-based learning for mobile robot navigation from the dynamical systems perspective. IEEE Trans Syst Man Cybern 26(3):421–436CrossRef

16.

Li CG, Chen GR, Liao XF, Yu JB (2004) Hopf bifurcation and chaos in a single inertial neuron model with time delay. Eur Phys J B 41:337–343CrossRef

17.

Liu Q, Liao XF, Wang GY, Wu Y (2006) Research for Hopf bifurcation of an inertial two-neuron system with time delay. In: IEEE Proceeding GRC, pp 420–423

18.

Liu Q, Liao XF, Yang DG, Guo ST (2007) The research for Hopf bifurcation in a single inertial neuron model with external forcing. In: IEEE Proceeding GRC, pp 528–533

19.

Liu Q, Liao X, Liu Y, Zhou S, Guo S (2009) Dynamics of an inertial two-neuron system with time delay. Nonlinear Dyn 58:573–609MathSciNetCrossRefMATH

20.

Liu Q, Liao X, Guo S, Wu Y (2009) Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation. Nonlinear Anal Real World Appl 10:2384–2395MathSciNetCrossRefMATH

Titel: Stability and existence of periodic solutions in inertial BAM neural networks with time delay
verfasst von: Ke Yunquan
Miao Chunfang
Publikationsdatum: 01.09.2013
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 3-4/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-012-1037-8

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 Ausgabe 3-4/2013

Special issue on Controlo2012: new applications of artificial neural networks in modeling and control

Nonnegative matrix factorization-based hyperspectral and panchromatic image fusion

Arabic sign language continuous sentences recognition using PCNN and graph matching

Dynamic behaviors of memristor-based delayed recurrent networks

State estimation of recurrent neural networks with interval time-varying delay: an improved delay-dependent approach

Decentralized control of collaborative redundant manipulators with partial command coverage via locally connected recurrent neural networks

Premium Partner