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Hamilton-Jacobi-Bellman equations for fuzzy-dual optimization

Abstract : In this article, after introducing fuzzy-dual numbers, functions and functionals, the optimization of a fuzy-dual functional is considered through an extension of Euler's condition. Then, once uncertainty is imbedded in a fuzzy-dual dynamical system, the optimization of such systems is considered, leading to an extended Hamilton-Jacobi-Bellman equation to characterize optimal fuzzy-dual solutions.
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Submitted on : Sunday, November 5, 2017 - 7:18:45 PM
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Lunlong Zhong, Felix Mora-Camino, Hakim Bouadi, Roger Marcelin Faye. Hamilton-Jacobi-Bellman equations for fuzzy-dual optimization. CCC 2017 36th Chinese Control Conference , Jul 2017, Dalian, China. pp.ISBN: 978-1-5386-2918-5 ⟨10.23919/ChiCC.2017.8027369⟩. ⟨hal-01629007⟩



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