A class of multiobjective control problems

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

A class of multiobjective control problems

Data

2009-01-01

Autores

de Oliveira, V. A.

Silva, Geraldo Nunes

Rojas-Medar, M. A.

Editor

John Wiley & Sons Ltd

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

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.