A class of multiobjective control problems

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Data

2009-01-01

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Coorientador

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John Wiley & Sons Ltd

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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.

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Inglês

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

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