Article ID Journal Published Year Pages File Type
697126 Automatica 2011 4 Pages PDF
Abstract

Applying the tubular neighborhood theorem, we give a simple proof of the Pontryagin maximum principle on a smooth manifold. The idea is as follows. Given a control system on a manifold MM, we embed it into some RnRn and extend the control system to RnRn. Then, we apply the Pontryagin maximum principle on RnRn to the extended system and project the consequence to MM.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Authors
,