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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Ali, HM (Autor) Outra; Fernando Lobo Pereira (Autor) FEUP; Sílvio Gama (Autor) FCUP

Revista

Título: Mathematical Methods in the Applied Sciences

Vol. 39

Páginas: 3640-3649

ISSN: 0170-4214

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 38 Citações

Scopus - 44 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10