Filippov's selection theorem and the existence of solutions for optimal control problems in time scales


Autoria(s): Santos, Iguer L. D.; Silva, Geraldo N.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

03/12/2014

03/12/2014

01/04/2014

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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

Processo FAPESP: 13/07375-0

We obtain an extension of Filippov's Lemma to control systems in time scales, where the multifunction associated with the dynamics is delta measurable on time and Lipschitz on the state variable. Using a modified version of a recent result on compactness of the set of trajectories for inclusions on time scales, in combination with the Filippov's selection theorem obtained here, we prove the existence of solutions to optimal control problems in time scales. At the outset, we provide some measurability properties for functions and multifunctions defined in time scales.

Formato

223-241

Identificador

http://dx.doi.org/10.1007/s40314-013-0057-z

Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 33, n. 1, p. 223-241, 2014.

1807-0302

http://hdl.handle.net/11449/112154

10.1007/s40314-013-0057-z

WOS:000334173900015

Idioma(s)

eng

Publicador

Springer

Relação

Computational & Applied Mathematics

Direitos

closedAccess

Palavras-Chave #Filippov's measurable selection #Existence of optimal controls #Time scales
Tipo

info:eu-repo/semantics/article