时间最优控制的Meyer逼近

Meyer Approximant of Time Optimal Controls

用变换的思想 ,构造一个Meyer问题序列去逼近时间最优控制 ,从而证明时间最优控制的存在性。这不仅给出时间最优控制存在性的新证明 ,同时为时间最优控制的计算提供了一个新途径 ,并揭示了时间最优控制问题和Meyer问题的深刻关系。

By transformation we structure a sequence of Meyer problems to approach time optimal control problem. The existence of time optimal controls is proved by an new method and new computation way of time optimal controls is offered. The deep relation between Meyer problem and time optimal control problem is also presented.