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Home  >  Volume 32 (Nov. 2015)

Forward-Forward Algorithm with Runge-Kutta Methodfor Control Problems with Initial State and Control Values by Oruh B.I. and Agwu E.(pages 175-188)
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A Forward-Forward algorithm with Runge-Kutta method for solving optimal control problems governed by differential equations is proposed. The control and state variables together with the adjoint variable are considered as initial valued problems. Using the initial values, the optimal control problem reduces to initial valued problem which can be solved by Forward-Forward algorithm with Runge-Kutta method. Computational results, for some standard optimal control problems, show that this new algorithm for optimal control problems substantially outperforms some well-known algorithm for obtaining the numerical approximations for optimal control problems governed by differential equations.