On the properness of an impulsive control extension of dynamic optimization problems


Autoria(s): Karamzin, D. Y.; Oliveira, V. A. de; Pereira, F. L.; Silva, G. N.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

21/10/2015

21/10/2015

01/07/2015

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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

Processo FAPESP: 2013/07375-0

This article investigates the properness, or well-posedness, of impulsive extension of a conventional optimal control problem. This includes both well-posedness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Well-posedness in the classic Cauchy sense is proved. Approximation lemmas that guarantee sensitivity to small perturbations in control variables are obtained. Filippov type existence theorems are established. A model example is provided to show the relevance of the impulsive controls problems which are under study.

Formato

857-875

Identificador

http://www.esaim-cocv.org/articles/cocv/abs/2015/03/cocv140053/cocv140053.html

Esaim-control Optimisation And Calculus Of Variations. Les Ulis Cedex A: Edp Sciences S A, v. 21, n. 3, p. 857-875, 2015.

1292-8119

http://hdl.handle.net/11449/128867

http://dx.doi.org/10.1051/cocv/2014053

WOS:000356012000011

Idioma(s)

eng

Publicador

Edp Sciences S A

Relação

Esaim-control Optimisation And Calculus Of Variations

Direitos

closedAccess

Palavras-Chave #Optimal control extensions #Well-posedness of solutions #Existence of solutions #Impulsive control
Tipo

info:eu-repo/semantics/article