We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions, from which the classical Pontryagin Maximum Principle is derived in a new insightful way. It also suggests generalizations in diverse directions of such famous principle.
|Titolo:||Pontryagin maximum principle and Stokes theorem|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||Articolo|