[PDF][PDF] Monic Chebyshev approximations for solving optimal control problem with Volterra integro differential equations

M El-Kady, H Moussa - Gen Math Notes, 2013 - gwdg.de
M El-Kady, H Moussa
Gen Math Notes, 2013gwdg.de
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.
Abstract
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.
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