Fuzzy optimal control problem with non-linear functional

A. A. Niftiyev (), C. I. Zeynalov () and M. Poormanuchehri ()
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A. A. Niftiyev: Baku State University
C. I. Zeynalov: Naxchivan State University
M. Poormanuchehri: Baku State University

Fuzzy Information and Engineering, 2011, vol. 3, issue 3, 311-320

Abstract: 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.

Keywords: Space of fuzzy numbers; Fuzzy differential equation; Optimality condition; Maximum principle; Numerical algorithm (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0085-6

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