A class of multiobjective control problems
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Data
2009-01-01
Autores
de Oliveira, V. A.
Silva, Geraldo Nunes [UNESP]
Rojas-Medar, M. A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
John Wiley & Sons Ltd
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.
Descrição
Palavras-chave
multiple objective programming, Control, Optimality conditions, generalized invexity
Como citar
Optimal Control Applications & Methods. Chichester: John Wiley & Sons Ltd, v. 30, n. 1, p. 77-86, 2009.