An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

الملخص EN

In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales.

By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system.

Then, we study the existence of an optimal solution for the optimal control problem.