In this research, the analytical solutions of optimal control problems constrained by ordinary differential equations are examined. The analytical solutions are obtained by applying the first order optimality conditions on the Hamiltonian function and solving the resulting system of first order ordinary differential equations. This leads to the optimal state, controland adjoint variables and hence the optimal objective function value. Two examples of optimal control problems constrained by ordinary differential equations are considered.
IRE Journals:
Afolabi A. S. , Olotu O.
"Analytical Solutions of Optimal Control Problems with Mixed Constraints" Iconic Research And Engineering Journals Volume 3 Issue 12 2020 Page 37-43
IEEE:
Afolabi A. S. , Olotu O.
"Analytical Solutions of Optimal Control Problems with Mixed Constraints" Iconic Research And Engineering Journals, 3(12)