| Abstract: |
| This article analyze singular optimal control problems (SOCP) from different areas
of engineering and applied mathematics. We use the notion of partial Hamiltonian
and we show that every singular optimal control problem can be written in the form
of current value or standard Hamiltonian. The partial Hamiltonian approach is used
to compute the partial Hamiltonian operators and first integrals. Then these first
integrals are utilized to construct the closed-form solutions of hybrid vehicle optimal
energy management model, optimal harvesting mathematical model and model
of membrane filtration system. We explain how one can use partial Hamiltonian
approach for both finite horizon and infinite horizon systems. This study provides a
new way of solving singular optimal control problems. |
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