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On Stochastic Control of Tokamak and Artificial Intelligence

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Abstract

Instead of the theory of invariant manifolds and entropy reduction, the theory of fractional Brownian motions and artificiall neural networks is used for description of advanced methods for control of tokamak plasma behaviour.

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References

  1. D. Rastovic, Chaos, Solitons & Fractals 31(2), 676 (2007)

    Google Scholar 

  2. D. Rastovic, Nuclear Technol. & Radiat. Protect. 21(2), 14 (2006)

    Google Scholar 

  3. Y. Hu, X. Y. Zhou, SIAM J. Control Optim. 43(6), 2245 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Germani, C. Manes, P. Palumbo, IEEE Trans. Circuits Sys. 51(8), 1561 (2004)

    Article  MathSciNet  Google Scholar 

  5. P. Garabedian, Proc. Natl. Acad.Sci. USA 100(24), 13741 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. D. A. Ovsyannikov, E. I. Veremey, A. P. Zhabko, A. D. Ovsyannikov, E. I. Makeev, V. A. Belyakov, A. A. Kavin, M. P. Gryaznevich, G. J. McArdle, Nucl. Fusion 46, S652 (2006)

    Article  Google Scholar 

  7. P. R. Garabedian, Plasma Phys. Control Fusion 39, B129 (1997)

    Article  Google Scholar 

  8. E. Schuster, M. Krstic, Int. J. Control. 76(11), 1116 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  9. D. Sharma, Y. Feng, F. Sardei, D. Reiter, Nucl. Fusion 45, 825 (2005)

    Article  Google Scholar 

  10. C. Chandre, M. Vittot, G. Ciraolo, Ph. Ghendrich, R. Lima, Nucl. Fusion 46, 33 (2006)

    Article  Google Scholar 

  11. M. P. Gryaznevich, S. E. Sharapov, Nucl. Fusion 46, S942 (2006)

    Article  Google Scholar 

  12. E. Schuster, M. L. Walker, D. A. Humpreys, M. Krstic, Automatica. 41(7), 1173 (2005)

    Article  MATH  Google Scholar 

  13. H. R. Wilson et al. Nucl. Fusion 44, 917 (2004)

    Article  Google Scholar 

  14. L. Colas, V. Basiuk, B. Beaumont, A. Becoulet, G. Bosia, S. Bremond, M. Chantant, F. Clairet, A. Ekedahl, E. Faudot, L. Millon, R. Mitteau, P. Mollard, K. Vulliez, the Tore Supra team, Nucl. Fusion 46, S500 (2006)

  15. G. Buceti et al. Fusion Eng. Design. 60(3), 381 (2002)

    Article  Google Scholar 

  16. R. Alexandre, C. Villani, Comm. Pure Appl. Math. 40, 0030 (2002)

    Article  MathSciNet  Google Scholar 

  17. M. H. Vainstein, I. V. L. Costa, R. Morgado, F. A. Oliveira, Europhys. Lett. 73(5), 726 (2006)

    Article  Google Scholar 

  18. M. Bhattacharyya, Fuzzy Sets Systems. 99(3), 273 (1998)

    Article  MathSciNet  Google Scholar 

  19. K. Pichor, R. Rudnicki, Jour. Math. Anal. Appl. 249, 668 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  20. V. I. Vasiliev, Yu. A. Kostsov, K. M. Lobanov, L. P. Makarova, A. B. Mineev, R. G. Gusev, R. G. Levin, Yu. V. Petrov, N. V. Sakharov, Nucl. Fusion 46, S625 (2006)

    Article  Google Scholar 

  21. P. R. Garabedian, Phys. Plasmas 9(1), 137 (2002)

    Article  Google Scholar 

  22. W. Xiong, Q. Zhou, B. Xiao, Y. Yu, Chaos, Solitons & Fractals 34(3), 896 (2007)

    Article  MathSciNet  Google Scholar 

  23. Z. Yan, E. Chen, Chaos, Solitons & Fractals. 33(5), 1584 (2007)

    Article  MathSciNet  Google Scholar 

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Correspondence to Danilo Rastovic.

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Rastovic, D. On Stochastic Control of Tokamak and Artificial Intelligence. J Fusion Energ 26, 337–342 (2007). https://doi.org/10.1007/s10894-007-9087-0

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  • DOI: https://doi.org/10.1007/s10894-007-9087-0

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