Monic Chebyshev Approximations for Solving Optimal Control Problem with Volterra Integro Differential Equations

In this paper, we formulate and analyze a new model for solving optimal control problems governed by Volterra integro-differential equations. The control and state variables are approximated by using monic Chebyshev series. The optimal control problem is reduced to a constrained optimization problem. Numerical examples are solved to show good ability and accuracy of the present approach.