On the Minimum Principle and Dynamic Programming for Hybrid Systems
نویسندگان
چکیده
Hybrid optimal control problems are studied for systems where autonomous and controlled state jumps are allowed at the switching instants and in addition to running costs, switching between discrete states incurs costs. A key aspect of the analysis is the relationship between the Hamiltonian and the adjoint process before and after the switching instants as well as the relationship between adjoint processes in the Minimum Principle and the value function in the Dynamic Programming. The results are illustrated through a simple, but yet very important, analytic example.
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