nach oben

Neural Computing and Applications

Erschienen in:

01.09.2014 | Original Article

Passivity analysis for uncertain discrete-time stochastic BAM neural networks with time-varying delays

verfasst von: R. Raja, U. Karthik Raja, R. Samidurai, A. Leelamani

Erschienen in: Neural Computing and Applications | Ausgabe 3-4/2014

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

This paper is concerned with the passivity analysis problem for a class of discrete-time stochastic bidirectional associative memory neural networks with time-varying delays. Furthermore, the results are extended to the robust passivity analysis with mixed time delays that consist of both the discrete and distributed time delays, and the uncertainties are assumed to be time-varying norm bounded parameter uncertainties. By constructing a new Lyapunov–Krasovskii functional and introducing some appropriate free-weighting matrices, a delay-dependent passivity criterion is derived in terms of LMIs whose feasibility can be easily checked by some available software packages. Finally, two numerical examples with simulation results are given to demonstrate the effectiveness and usefulness of the proposed results.

Vorheriger Artikel Robustness of globally exponential stability of delayed neural networks in the presence of random disturbances

Nächster Artikel Prediction and optimization of electrospinning parameters for polymethyl methacrylate nanofiber fabrication using response surface methodology and artificial neural networks

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

Bevelevich V (1968) Classical network synthesis. Van Nostrand, NewYork

Chen B, Li H, Lin C, Zhou Q (2009) Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays. Phys Lett A 373(14):1242–1248MATHMathSciNetCrossRef

Chen Y, Li W, Bi W (2009) Improved results on passivity analysis of uncertain neural networks with time-varying discrete and distributed delays. Neural Process Lett 30(2):155–169CrossRef

Gao HJ, Chen TW, Chai TY (2007) Passivity and passification for networked control systems. SIAM J Contl Optim 46(4):1299–1322MATHMathSciNetCrossRef

He W, Cao J (2007) Stability and bifurcation of a class of discrete-time neural networks. Appl Math Model 31:2111–2122MATHCrossRef

Hu S, Wang J (2002) Global stability of a class of discrete-time recurrent neural networks. IEEE Trans Circ Syst I 49(8):104–1117

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

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

Li H, Wanga C, Shi P, Gao H (2010) New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays. Neurocomputing 73(16–18):3291–3299CrossRef

10.

Liang J, Cao J (2004) Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos Solitons Fractals 22:773–785MATHMathSciNetCrossRef

11.

Liu M Global asymptotic stability analysis of discrete-time Cohen-Grossberg neural networks based on interval systems. Nonlinear Anal (in press). doi:10.1016/j.na.2007.08.019

12.

Liu MQ (2007) Delayed standard neural network models for control systems. IEEE Trans Neural Netw 18:1376–1391CrossRef

13.

Liu X, Tang M, Martin R, Liu X (2007) Discrete-time BAM neural networks with variable delays. Phys Lett A 367:322–330MATHCrossRef

14.

Raja R, Marshal Anthoni S (2011) Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case. Commun Nonlinear Sci Numer Simul 16:613–622MATHMathSciNetCrossRef

15.

Raja R, Sakthivel R, Marshal Anthoni S (2010) Stability analysis for discrete-time stochastic neural networks with mixed time delays and impulsive effects. Can J Phys 88(12):885–895CrossRef

16.

Rakkiyappan R, Balasubramaniam P, Lakshmanan S (2008) Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. Phys Lett A 372:5290–5298MATHMathSciNetCrossRef

17.

Rakkiyappan R, Balasubramaniam P, Cao J (2010) Global exponential stability results for neutral-type impulsive neural networks. Nonlinear Anal Real World Appl 11:122–130MATHMathSciNetCrossRef

18.

Sakthivel R, Samidurai R, Marshal Anthoni S (2010) Asymptotic stability of stochastic delayed recurrent neural networks with impulsive effects. J Optim Theory Appl 147:583–596MATHMathSciNetCrossRef

19.

Sakthivel R, Samidurai R, Marshal Anthoni S (2010) Exponential stability for stochastic neural networks of neutral type with impulsive effetcs. Mod Phys Lett B 24:1099–1110MATHCrossRef

20.

Sakthivel R, Samidurai R, Marshal Anthoni S (2010) New exponential stability criteria for stochastic BAM neural networks with impulses. Phys Scr 82:045802CrossRef

21.

Song Q, Wang Z (2007) A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with timevarying delays. Phys Lett A 368:134–145CrossRef

22.

Song Q, Wang Z (2008) Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. Phys A 387:3314–3326CrossRef

23.

Song Q, Zhang J (2008) Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Nonlinear Anal Real World Appl 9:500–510MATHMathSciNetCrossRef

24.

Song C, Gao H, Zheng W (2009) A new approach to stability analysis of discrete-time recurrent neural networks with time-varying delay. Neurocomputing 72(10-12):2563–2568CrossRef

25.

Song Q, Liang J, Wang Z (2009) Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 72(7-9):1782–1788CrossRef

26.

Wang L, Xu Z (2006) Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. IEEE Trans Circ Syst I 53(6):1373–1380CrossRef

27.

Wang ZD, Liu YR, Fraser K, Liu XH (2006) Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys Lett A 354(4):288–297MATHCrossRef

28.

Wang ZD, Liu YR, Li MZ, Liu XH (2006) Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 17:814–820CrossRef

29.

Xiong W, Cao J (2005) Global exponential stability of discrete-time Cohen-Grossberg neural networks. Neurocomputing 64:433–446CrossRef

30.

Zhang JH, Shi P, Qiu JQ (2007) Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays. Nonlinear Anal Real World Appl 8(4):1349–1357MATHMathSciNetCrossRef

31.

Zhang B, Xu S, Zou Y (2008) Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays. Neurocomputing 72(1–3):321–330CrossRef

32.

Zhang Z, Mou S, Lam J, Gao H (2009) New passivity criteria for neural networks with time-varying delay. Neural Netw 22(7):864–868CrossRef

33.

Zhao HY, Ding N (2006) Dynamic analysis of stochastic Cohen-Grossberg neural networks with time delays. Appl Math Comput 183(1):464–470MATHMathSciNetCrossRef

34.

Zhu J, Zhang Q, Yuan Z (2010) Delay-dependent passivity criterion for discrete-time delayed standard neural network model. Neurocomputing 73:1384–1393MATHCrossRef

Titel: Passivity analysis for uncertain discrete-time stochastic BAM neural networks with time-varying delays
verfasst von: R. Raja
U. Karthik Raja
R. Samidurai
A. Leelamani
Publikationsdatum: 01.09.2014
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 3-4/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-014-1545-9

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 3-4/2014

Integrating artificial bee colony and bees algorithm for solving numerical function optimization

Improved accuracy of He’s energy balance method for analysis of conservative nonlinear oscillator

Chaos control of a bounded 4D chaotic system

Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation

Imbalanced data classification based on scaling kernel-based support vector machine

Robustness of globally exponential stability of delayed neural networks in the presence of random disturbances