Copyright © 2009 Thabet Abdeljawad (Maraaba) et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper deals
with variational optimal-control problems on
time scales in the presence of delay in the
state variables. The problem is considered on a
time scale unifying the discrete, the continuous,
and the quantum cases. Two examples in the
discrete and quantum cases are analyzed to
illustrate our results.