doi: 10.17706/ijapm.2017.7.3.182-190
Necessary Conditions for Fuzzy Dual Optimal Control Problems
Felix Mora-Camino
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- 1 ENAC, Toulouse University, 7 avenue Edouard Belin, 31055 Toulouse, France
- 2 Doctorate School of Sciences and Technologies, Libanese University, Tripoli Al-Koubba, Lebanon.
- 3 Labfuzzy, COPPE, Federal University of Rio de Janeiro, Centro de Tecnologia, Ilha do Fundão, Brazil.
Abstract
This article after introducing fuzzy dual numbers, functions and functionals establishes necessary conditions for the optimization of fuzzy dual functionals before considering fuzzy dual optimal control problems. In a first step an extension of Euler’s necessary condition for the extremum of a fuzzy dual functional is established and then necessary conditions for fuzzy dual optimal control are developed.
Keywords
- Euler’s condition
- fuzzy dual numbers
- necessary conditions
- optimal control
- uncertainty
How to Cite
Felix Mora-Camino, Fabio Krykhtine, Walid El Moudani, and Carlos Alberto Nunes Cosenza, "Necessary Conditions for Fuzzy Dual Optimal Control Problems," International Journal of Applied Physics and Mathematics, vol. 7, no. 3, pp. 182-190, 2017. https://doi.org/ 10.17706/ijapm.2017.7.3.182-190
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).