一类双向确定性系统最优控制问题的最大值原理

An Optimal Control Problem for a Class of Deterministic Systems

本文讨论了一类双向确定性系统的最优控制问题，我们利用Ｅｋｅｌａｎｄ变分原理，推得了最优控制所满足的最大值原理．同时，对线性系统的情况，我们还证明了最大值条件的充分性．

In this paper,we obtain the maximum principle in optimal control problems for a class of deterministic forward and backward system applying Ekeland,s variational principle. We also prove that the maximum condition not only is necessary but also is sufficient for a linear case.