A Computational Method for a Controllable Dynamic System with State and Control Delays

In this paper, we consider the approximate computation for a class of dynamic control systems on time scales. First, using the contraction mapping principle, we show that our system is controllable. Then, we present an iterative scheme for the approximation of the exact control and the exact solution, and then give error estimates for these approximations. Finally, two examples are given to illustrate our results.