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A class of optimal control problems of systems
governed by the first order linear dynamic equations on time scales
This paper is mainly concerned with a class of optimal control
problems of systems governed by the first order linear dynamic
equations on time scales with quadratic cost functionals.
Introducing the weak solutions of the first order linear dynamic
equations and presenting the Arzela-Ascoli theorem on time scales,
we prove the existence of solution to a class of linear quadratic
optimal control problems on time scales.