A class of multiobjective control problems

de Oliveira, V. A.; Silva, Geraldo Nunes; Rojas-Medar, M. A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/40256

Title:

A class of multiobjective control problems

Author(s):

Institution:

Universidade Federal de Uberlândia (UFU)
Universidade Estadual Paulista (UNESP)
Univ Bio Bio

ISSN:

0143-2087

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Ministerio de Educacion-Spain
Fondecyt-Chile

Sponsorship Process Number:

FAPESP: 06/04315-2
CNPq: 306461-2004-0
FAPESP: 07/05226-6
Ministerio de Educacion-Spain: MTM2006-07932
Fondecyt-Chile: 1080628

Abstract:

We introduce the class of MP-pseudoinvex multiobjective optimal control problems. We show that the concept of MP-pseudoinvexity is a sufficient condition of optimality and, further, that problems such that every control process satisfying Pontryagin's maximum principle is an optimal process are necessarily MP-pseudoinvex problems. Moreover, a sub-class of the MP-pseudoinvex problems, which we call MP-invex multiobjective optimal control problems, is defined. We prove that the set of optimal solutions of MP-invex multiobjective problems coincides with the set of optimal solutions of a related scalar problem. Copyright (C) 2008 John Wiley & Sons, Ltd.

Issue Date:

1-Jan-2009

Citation:

Optimal Control Applications & Methods. Chichester: John Wiley & Sons Ltd, v. 30, n. 1, p. 77-86, 2009.

Time Duration:

77-86

Publisher:

John Wiley & Sons Ltd

Keywords:

multiple objective programming
Control
Optimality conditions
generalized invexity

Source:

http://dx.doi.org/10.1002/oca.863

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/40256

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