Maximum Principle and Bang-Bang Property of Time Optimal Controls for Schrödinger-Type Systems
نویسندگان
چکیده
We consider the time optimal control problem, with a point target, for a class of infinite dimensional systems with a dynamics governed by an abstract Schrödinger type equation. The main results establish a Pontryagyn type maximum principle and give sufficient conditions for the bangbang property of optimal controls. The results are then applied to some systems governed by partial differential equations. The paper ends by a discussion of possible extensions and by stating some open problems.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 51 شماره
صفحات -
تاریخ انتشار 2013