KT-invexity in optimal control problems

Oliveira, Valeriano Antunes de; Silva, Geraldo Nunes; Rojas-Medar, Marko Antonio

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21802

Title:

KT-invexity in optimal control problems

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Federal de Uberlândia (UFU)
Universidad del Bío-Bío

ISSN:

0362-546X

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Fondecyt-Chile

Sponsorship Process Number:

FAPESP: 06/04315-2
FAPESP: 07-5662-6
Fondecyt-Chile: 1080628
MTM2007-63432

Abstract:

We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes (processes that obey KT-conditions below) but also a necessary condition. (C) 2009 Elsevier Ltd. All rights reserved.

Issue Date:

15-Nov-2009

Citation:

Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 71, n. 10, p. 4790-4797, 2009.

Time Duration:

4790-4797

Publisher:

Pergamon-Elsevier B.V. Ltd

Keywords:

Optimal control problems
Kuhn-Tucker type necessary optimality conditions
Sufficient optimality conditions
Generalized convexity
KT-invexity

Source:

http://dx.doi.org/10.1016/j.na.2009.03.055

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21802

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