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
Erschienen in:
Relative Mathematic Foundation Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

4. Adaptive Synchronization of Neural Networks

verfasst von : Wuneng Zhou, Jun Yang, Liuwei Zhou, Dongbing Tong

Erschienen in: Stability and Synchronization Control of Stochastic Neural Networks

Verlag: Springer Berlin Heidelberg

Einloggen

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

search-config
loading …

Abstract

The adaptive control strategy has been widely adopted due to its well performance in uncertain systems such as stochastic systems or nonlinear systems. In this chapter, adaptive control is designed for the synchronization of some kinds of neural networks including BAMDNN, SDNN with Markovian switching and T-S fuzzy NN.

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!

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"

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
Vorheriges Kapitel Robust Stability and Synchronization of Neural Networks
Nächstes Kapitel Stability and Synchronization of Neutral-Type Neural Networks
Literatur
1.
J. Cao, P. Li, W. Wang, Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys. Lett. A 353(4), 318–325 (2006)CrossRef
2.
J. Cao, X. Li, Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Phys. D 212(1), 54–65 (2005)MathSciNetCrossRefMATH
3.
J. Cao, J. Lu, Adaptive synchronization of neural networks with or without time-varying delays. Chaos: Interdiscip. J. Nonlinear Sci. 16(1), 013133–013139 (2006)MathSciNetCrossRef
4.
J. Cao, L. Wang, Periodic oscillatory solution of bidirectional associative memory networks with delays. Phys. Rev. E 61(2), 1825–1828 (2000)MathSciNetCrossRef
5.
J. Cao, Z. Wang, Y. Sun, Synchronization in an array of linearly stochastically coupled networks with time-delays. Phys. A: Stat. Mech. Appl. 385(2), 718–728 (2007)MathSciNetCrossRef
6.
G. Chen, J. Zhou, Z. Liu, Classification of chaos in 3-d autonomous quadratic systems-I: basic framework and methods. Int. J. Bifurc. Chaos 16(9), 2459–2479 (2006)CrossRefMATH
7.
G.R. Chen, J. Zhou, Z.R. Liu, Global synchronization of coupled delayed neural networks and applications to chaotic CNN model. Int. J. Bifurc. Chaos 14(7), 2229–2240 (2004)MathSciNetCrossRefMATH
8.
M. Chen, D. Zhou, Synchronization in uncertain complex networks. Chaos: Interdiscip. J. Nonlinear Sci. 16(1), 013101 (2006)CrossRef
9.
T. Chen, L. Wang, Power-rate global stability of dynamical systems with unbounded time-varying delays. IEEE Trans. Circuits Syst. II: Express Briefs 54(8), 705–709 (2007)CrossRef
10.
M. Gilli, Strange attractors in delayed cellular neural networks. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 40(17), 849–853 (1993)MathSciNetCrossRefMATH
11.
12.
K. Gopalsamy, X. He, Delay-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Netw. 5(6), 998–1002 (1994)CrossRef
13.
H. Huang, D.W.C. Ho, Y. Qu, Robust stability of stochastic delayed additive neural networks with Markovian switching. Neural Netw. 20(7), 799–809 (2007)CrossRefMATH
14.
H.R. Karimi, P. Maass, Delay-range-dependent exponential \({H}_\infty \) synchronization of a class of delayed neural networks. Chaos, Solitons Fractals 41(3), 1125–1135 (2009)MathSciNetCrossRefMATH
15.
J.H. Kim, C.H. Hyun, E. Kim, M. Park, Adaptive synchronization of uncertain chaotic systems based on T-S fuzzy model. IEEE Trans. Fuzzy Syst. 15(3), 359–369 (2007)CrossRef
16.
B. Kosko, Adaptive bi-directional associative memories. Appl. Opt. 26(23), 4947–4960 (1987)CrossRef
17.
18.
P. Li, J. Cao, Z. Wang, Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Phys. A 373, 261–272 (2007)CrossRef
19.
X. Li, J. Cao, Adaptive synchronization for delayed neural networks with stochastic perturbation. J. Frankl. Inst. 354(7), 779–791 (2008)MathSciNetCrossRef
20.
X. Liao, J. Yu, Qualitative analysis of bi-directional associative memory with time delay. Int. J. Circuit Theory Appl. 26(3), 219–229 (1998)MathSciNetCrossRefMATH
21.
B. Liu, X.Z. Liu, G.R. Chen, Robust impulsive synchronization of uncertain dynamical networks. IEEE Trans. Circuits Syst. I 52(7), 1431–1441 (2005)MathSciNetCrossRef
22.
Z.G. Liu, Global attractors of delayed BAM neural networks with reaction-diffusion terms. J. Xiangnan Univ. 31(2), 5–11 (2010)
23.
X. Lou, B. Cui, Synchronization of neural networks based on parameter identification and via output or state coupling. J. Comput. Appl. Math. 222(2), 440–457 (2008)MathSciNetCrossRefMATH
24.
H. Lu, Chaotic attractors in delayed neural networks. Phys. Lett. A 298(2–3), 109–116 (2002)CrossRefMATH
25.
J. Lu, D.W.C. Ho, J. Cao, J. Kurths, Exponential synchronization of linearly coupled neural networks with impulsive disturbances. IEEE Trans. Neural Netw. 22(2), 329–336 (2011)CrossRef
26.
Y. Lu, K. Yi, Adaptive projective synchronization of uncertain Rössler chaotic system. Comput. Sci. 36(5), 91–193 (2009)MathSciNet
27.
X. Mao, C. Yuan, Stochastic Differential Equations with Markovian Switching (Imperial College Press, London, 2006)CrossRefMATH
28.
M.J. Park, O. Kwon, J.H. Park, S.M. Lee, Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. Expert Syst. Appl. 39(5), 5625–5633 (2012)MathSciNetCrossRef
29.
30.
K. Sun, S. Qiu, L. Yin, Adaptive function projective synchronization and parameter identification for chaotic systems. Inf. Control 39(3), 326–331 (2010)
31.
Y. Sun, J. Cao, Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. Phys. Lett. A 364(3), 277–285 (2007)CrossRefMATH
32.
Y. Sun, J. Cao, Z. Wang, Exponential synchronization of stochastic perturbed chaotic delayed neural networks. Neurocomputing 70(13), 2477–2485 (2007)CrossRef
33.
Y. Sun, G. Feng, J. Cao, Stochastic stability of Markovian switching genetic regulatory networks. Phys. Lett. A 373(18), 1646–1652 (2009)MathSciNetCrossRefMATH
34.
Y. Tang, J. Fang, Adaptive synchronization in an array of chaotic neural networks with mixed delays and jumping stochastically hybrid coupling. Commun. Nonlinear Sci. Numer. Simul. 14(9), 3615–3628 (2009)MathSciNetCrossRefMATH
35.
F. Wang, H.Y. Wu, Existence and stablity of periodic solution for BAM neural networks. Comput. Eng. Appl. 46(24), 15–18 (2010)MATH
36.
K. Wang, Z. Teng, H. Jiang, Adaptive synchronization of neural networks with time-varying delay and distributed delay. Phys. A: Stat. Mech. Appl. 387(2–3), 631–642 (2008)CrossRef
37.
W. Wang, J. Cao, Synchronization in an array of linearly coupled networks with time-varying delay. Phys. A 366, 197–211 (2006)CrossRef
38.
X.Y. Wang, Q.A. Zhao, Class of uncertain delayed neural network adaptive projection synchronization. Acta Phys. Sin. 57(5) (2008)
39.
Z. Wang, J. Fang, X. Liu, Global stability of stochastic high-order neural networks with discrete and distributed delays. Chaos, Solitons Fractals 36(2), 388–396 (2008)MathSciNetCrossRefMATH
40.
Z. Wang, D.W.C. Ho, X. Liu, State estimation for delayed neural networks. IEEE Trans. Neural Netw. 16(1), 279–284 (2005)CrossRef
41.
Z. Wang, S. Lauria, J. Fang, X. Liu, Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons Fractals 32(1), 62–72 (2007)MathSciNetCrossRefMATH
42.
Z. Wang, Y. Liu, F. Karl, X. Liu, Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys. Lett. A 354(4), 288–297 (2006)CrossRefMATH
43.
Z. Wang, Y. Liu, L. Liu, X. Liu, Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 356(4), 346–352 (2006)CrossRefMATH
44.
Z. Wang, Y. Liu, X. Liu, On global asymptotic stability of neural networks with discrete and distributed delays. Phys. Lett. A 345(4), 299–308 (2005)CrossRefMATH
45.
Z. Wang, Y. Liu, X. Liu, Exponential stabilization of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays. IEEE Trans. Autom. Control 55(7), 1656–1662 (2010)CrossRef
46.
Z. Wang, Y. Liu, G. Wei, X. Liu, A note on control of discrete-time stochastic systems with distributed delays and nonlinear disturbances. Automatica 46(3), 543–548 (2010)MathSciNetCrossRefMATH
47.
Z. Wang, H. Shu, J. Fang, X. Liu, Robust stability for stochastic Hopfield neural networks with time delays. Nonlinear Anal.: Real World Appl. 7(5), 1119–1128 (2006)MathSciNetCrossRefMATH
48.
Z. Wang, H. Shu, Y. Liu, D.W.C. Ho, X. Liu, Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons Fractals 30(4), 886–896 (2006)MathSciNetCrossRefMATH
49.
Z.D. Wang, D.W.C. Ho, Y.R. Liu, X.H. Liu, Robust \({H}_\infty \) control for a class of nonlinear discrete time-delay stochastic systems with missing measurements. Automatica 45(3), 1–8 (2010)MathSciNet
50.
C.W. Wu, Synchronization in array of coupled nonlinear system with delay and nonreciprocal time-varying coupling. IEEE Trans. Circuits Syst. 52(5), 282–286 (2005)CrossRef
51.
H.J. Xiang, Exponential stablity of fuzzy BAM neural networks with diffusion. J. Xiangnan Univ. 31(2), 12–19 (2010)
52.
D. Xu, Z. Li, Controlled projective synchronization in nonpartially-linear chaotic systems. Int. J. Bifurc. Chaos 12(06), 1395–1402 (2002)CrossRef
53.
L.X. Yang, W.S. He, X.J. Liu, H.B. Chen, Improved full state hybrid projective synchronization in autonomous chaotic systems. J. Xianyang Norm. Univ. 25(2), 28–30 (2010)
54.
W. Yu, J. Cao, Synchronization control of stochastic delayed neural networks. Phys. A 373, 252–260 (2007)CrossRef
55.
C. Yuan, X. Mao, Robust stability and controllability of stochastic differential delay equations with Markovian switching. Automatica 40(3), 343–354 (2004)MathSciNetCrossRefMATH
56.
H. Zhang, Y. Wang, D. Liu, Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays. IEEE Trans. Syst., Man Cybern., Part B 38(1), 125–140 (2008)CrossRefMATH
57.
J. Zhang, Y. Yang, Global stability analysis of bidirectional associative memory neural networks with time delay. Int. J. Circuit Theory Appl. 29(2), 185–196 (2001)CrossRefMATH
58.
L. Zhang, E. Boukas, Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica 45(2), 463–468 (2009)MathSciNetCrossRefMATH
59.
W. Zhang, Y. Tang, J. Fang, Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays. Appl. Math. Comput. 217(17), 7210–7225 (2011)MathSciNetCrossRefMATH
60.
H. Zhao, S. Xu, Y. Zou, Robust \({H}_\infty \) filtering for uncertain Markovian jump systems with mode-dependent distributed delays. Int. J. Adapt. Control Signal Process. 24(1), 83–94 (2010)MathSciNetMATH
61.
J. Zhou, T. Chen, L. Xiang, Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. Circuits, Syst., Signal Process. 24(5), 599–613 (2005)MathSciNetCrossRefMATH
62.
J. Zhou, T. Chen, L. Xiang, Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos, Solitons Fractals 27(4), 905–913 (2006)MathSciNetCrossRefMATH
63.
W. Zhou, H. Lu, C. Duan, Exponential stability of hybrid stochastic neural networks with mixed time delays and nonlinearity. Neurocomputing 72(13), 3357–3365 (2009)CrossRef
64.
W. Zhou, D. Tong, Y. Gao, C. Ji, H. Su, Mode and delay-dependent adaptive exponential synchronization in pth moment for stochastic delayed neural networks with Markovian switching. IEEE Trans. Neural Netw. Learn. Syst. 23(4), 662–668 (2012)CrossRef
65.
Q. Zhu, J. Cao, Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays. Commun. Nonlinear Sci. Numer. Simul. 16(4), 2139–2159 (2011)MathSciNetCrossRefMATH
66.
S. Zhu, Y. Shen, Passivity analysis of stochastic delayed neural networks with Markovian switching. Neurocomputing 74(10), 1754–1761 (2011)CrossRef
Metadaten
Titel
Adaptive Synchronization of Neural Networks
verfasst von
Wuneng Zhou
Jun Yang
Liuwei Zhou
Dongbing Tong
Copyright-Jahr
2016
Verlag
Springer Berlin Heidelberg
Buch
Stability and Synchronization Control of Stochastic Neural Networks

Print ISBN: 978-3-662-47832-5

Electronic ISBN: 978-3-662-47833-2

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-662-47833-2_4

Neuer Inhalt

    Bildnachweise