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A solving tool for fuzzy quadratic optimal control problems

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Author Info
Silvio Giove () (Department of Applied Mathematics, University of Venice)
Paolo Bortot () (Department of Applied Mathematics, University of Venice)

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Abstract

In this paper we propose an iterative method to solve an optimal control problem, with fuzzy target and constraints. The algorithm is developed in such a way as to satisfy the target function and the constraints. The algorithm can be applied only if a method exists to solve a crisp parametric sub-problem obtained by the original one. This is the case for a quadratic-linear target function with linear constraints, for which some well established solvable methods exist for the crisp associated sub-problem. A numerical test confirmed the good convergence properties.

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Publisher Info
Paper provided by Department of Applied Mathematics, University of Venice in its series Working Papers with number 148.

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Length: 13 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:vnm:wpaper:148

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Related research
Keywords: fuzzy; mathematical programming;

Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming

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  1. Inuiguchi, Masahiro & Sakawa, Masatoshi, 1995. "Minimax regret solution to linear programming problems with an interval objective function," European Journal of Operational Research, Elsevier, vol. 86(3), pages 526-536, November. [Downloadable!] (restricted)
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