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Fuzzy optimal control problem with non-linear functional

Author

Listed:
  • A. A. Niftiyev

    (Baku State University)

  • C. I. Zeynalov

    (Naxchivan State University)

  • M. Poormanuchehri

    (Baku State University)

Abstract

In this paper, we introduce a new space of fuzzy numbers equipped with a scalar product defined in this space. The notion of a derivative of a fuzzy function in this space is defined. By employing these notions, an optimal control problem with non-linear functional is formulated and an optimality condition is obtained in the form of maximum principle. Using this result, the numerical algorithm is offered for the solution of such problems.

Suggested Citation

  • A. A. Niftiyev & C. I. Zeynalov & M. Poormanuchehri, 2011. "Fuzzy optimal control problem with non-linear functional," Fuzzy Information and Engineering, Springer, vol. 3(3), pages 311-320, September.
    • Handle: RePEc:spr:fuzinf:v:3:y:2011:i:3:d:10.1007_s12543-011-0085-6
    DOI: 10.1007/s12543-011-0085-6
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