A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Ali, HM (Author) Other; Fernando Lobo Pereira (Author) FEUP; Sílvio Gama (Author) FCUP

Journal

Title: Mathematical Methods in the Applied Sciences

Vol. 39

Pages: 3640-3649

ISSN: 0170-4214

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 28 Citations

Scopus - 34 Citations

Other information

Authenticus ID: P-00K-DWN

DOI: 10.1002/mma.3811

Abstract (EN): In this paper, we discuss a new general formulation of fractional optimal control problems whose performance index is in the fractional integral form and the dynamics are given by a set of fractional differential equations in the Caputo sense. The approach we use to prove necessary conditions of optimality in the form of Pontryagin maximum principle for fractional nonlinear optimal control problems is new in this context. Moreover, a new method based on a generalization of the Mittag-Leffler function is used to solving this class of fractional optimal control problems. A simple example is provided to illustrate the effectiveness of our main result. Copyright (C) 2016 John Wiley & Sons, Ltd.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10