A Short Proof of the Pontryagin Maximum Principle on Manifolds
نویسنده
چکیده
Applying the Tubular Neighborhood Theorem, we give a short and new proof of the Pontryagin Maximum Principle on a smooth manifold. The idea is as follows. Given a control system on a manifold M , we embed it into an open subset of some Rn, and extend the control system to the open set. Then, we apply the Pontryagin Maximum Principle on Rn to the extended system and project the consequence to M . keywords : optimal control, Pontryagin maximum principle, tubular neighborhood
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