Artículos de revistas
Filippov's selection theorem and the existence of solutions for optimal control problems in time scales
Date
2014-04-01Registration in:
Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 33, n. 1, p. 223-241, 2014.
1807-0302
10.1007/s40314-013-0057-z
WOS:000334173900015
Author
Universidade Estadual Paulista (Unesp)
Institutions
Abstract
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.