Fuzzy optimal control problem with non-linear functional |
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| Authors: | A A Niftiyev C I Zeynalov M Poormanuchehri |
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| Institution: | 1.Institute of Applied Mathematics,Baku State University,Baku,Azerbaijan;2.Naxchivan State University,Baku,Azerbaijan |
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| 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. |
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| Keywords: | |
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