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Journal of Fusion Energy

, Volume 28, Issue 1, pp 101–106 | Cite as

Fuzzy Scaling and Stability of Tokamaks

  • Danilo Rastovic
Original Paper

Abstract

With the combination of fuzzy logic and Vlasov-Poisson-Fokker-Planck equations, the stability of tokamak plasma behaviour is investigated via scaling methods and Lyapunov functionals.

Keywords

Fuzzy scaling Stability of tokamak 

References

  1. 1.
    G. Van Oost, V.V. Bulanin, A.J.H. Donne, et al., Plasma Phys. Control. Fusion 49, A29–A44 (2007)CrossRefADSGoogle Scholar
  2. 2.
    H. Wilson, Fusion Sci. Technol. 53, 161–169 (2008)Google Scholar
  3. 3.
    F. Bauer, O. Betancourt, P. Garabedian, Comm. Pure Appl. Math. 39, 595–621 (1986)MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    C.S. Jones, J.M. Finn, Nucl. Fusion 46, 335–349 (2006)CrossRefADSGoogle Scholar
  5. 5.
    V.P. Budaev, N. Ohno, S. Masuzaki et al., Nucl. Fusion 48, 024014 (2008)Google Scholar
  6. 6.
    I.T. Chapman et al., Nucl. Fusion 48, 035004 (2008)Google Scholar
  7. 7.
    C. Chandre, M. Vittot, G. Ciraolo et al., Nucl. Fusion 46, 33–45 (2006)CrossRefADSGoogle Scholar
  8. 8.
    G.Q. Li, S.J. Wang, L.L. Lao et al., Nucl. Fusion 48, 015001 (2008)Google Scholar
  9. 9.
    K. Yamazaki, H. Yamada, K.Y. Watanabe et al., in International Workshop on Controls for Small-and Medium-Scale Accelerators, Tsukuba, Japan, Nov 1996Google Scholar
  10. 10.
    Y.M. Yeon, Y.S. Na, M.R. Kim et al., Rev. Sci. Instrum. 72, 513–516 (2001)CrossRefADSGoogle Scholar
  11. 11.
    R. Albanese, G. Ambrosino, in Proc. of the 2000 IEEE Int. Conf. on Control Appl., Anchorage, Alaska (2000), pp. 385–394Google Scholar
  12. 12.
    D. Bakry, P. Cattiaux, A. Guillin, J. Func. Anal. 254, 727–759 (2008)MATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    J. Yoneyama, IEEE Trans. Fuzzy Syst. 15, 828–839 (2007)CrossRefGoogle Scholar
  14. 14.
    D. Rastovic, Chaos Solitons Fractals 32, 676–681 (2007)CrossRefGoogle Scholar
  15. 15.
    S. Hart, Y. Rinott, B. Weiss, Ann. Appl. Prob. 18, 259–287 (2008)MATHCrossRefMathSciNetGoogle Scholar
  16. 16.
    C.S. Karagoz, H.I. Bozma, D.E. Koditschek, IEEE Trans. Robotics 20, 1012–1018 (2004)CrossRefGoogle Scholar
  17. 17.
    M. Galicki, IEEE Trans. Robotics 20, 1018–1025 (2004)CrossRefGoogle Scholar
  18. 18.
    D. Rastovic, Cybernetica 39, 49–51 (1996)MATHMathSciNetGoogle Scholar
  19. 19.
    R. Cortesao, IEEE Trans. Robotics 20, 941–952 (2004)CrossRefGoogle Scholar
  20. 20.
    H.T. Yau, Chaos Solitons Fractals 34, 1357–1365 (2007)MATHCrossRefGoogle Scholar
  21. 21.
    D. Rastovic, Stabil. Contr. Theory Appl. 2, 53–58 (1999)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Control Systems GroupZagrebCroatia

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