Hamilton-Jacobi-Bellman equations for fuzzy-dual optimization

Lunlong Zhong (1) , Felix Mora-Camino (2) , Hakim Bouadi (3) , Roger Marcelin Faye (4)

1 Civil Aviation University of China (CHINA)
2 ENAC - Ecole Nationale de l'Aviation Civile
3 EMP - École Militaire Polytechnique [Alger]
4 ESP - École Supérieure Polytechnique de Dakar

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.

Mots clés: fuzzy-dual numbers; uncertain systems; Euler's equation; optimal control; Hamilton-Jacobi-Bellman equation

Domaines: Automatique / Robotique

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⟩