A NECESSARY CONDITION OF PONTRYAGIN TYPE FOR FUZZY FRACTIONAL OPTIMAL CONTROL PROBLEMS

作者：Fard Omid S; Soolaki Javad; Torres Delfim F M^*

来源：Discrete and Continuous Dynamical Systems - Series S, 2018, 11(1): 59-76.

DOI：10.3934/dcdss.2018004

• Fractional calculus
• fuzzy control systems
• fuzzy optimal control
• fuzzy fractional Hamiltonian function
• Pontryagin maximum principle

We prove necessary optimality conditions of Pontryagin type for a class of fuzzy fractional optimal control problems with the fuzzy fractional derivative described in the Caputo sense. The new results are illustrated by computing the extremals of three fuzzy optimal control systems, which improve recent results of Najariyan and Farahi.

• 出版日期2018-2