Existence and Nonexistence Results of an Optimal Control Problem by Using Relaxed Control
Existence and Nonexistence Results of an Optimal Control Problem by Using Relaxed Control
复制标题
DOI：
10.1137/050628386
复制
发表时间：
2007-11
期刊：
影响因子：
--
通讯作者：
H. Lou
中科院分区：
文献类型：
--
作者：
H. Lou
在最优控制理论中，松弛控制在研究最优控制的存在性方面已被证明是非常有用的。在文献中已经获得了许多积极的结果。然而，负面结果也很少出现。本文考虑的最优控制问题看起来很简单。然而，通过处理这样一个问题，我们可以得到有趣的结果，证实我们的想法是否存在最优控制。我们认为，本文所用的方法可以应用于更一般的情况。
Relaxed controls have proved to be very useful in studying the existence of optimal controls in optimal control theory. Many positive results have been obtained in the literature. However, negative results have also made their rare appearances. The optimal control problem considered in this paper looks quite simple. Yet, by treating such a problem, we can get interesting results, substantiating our idea as to whether an optimal control exists or not. In our opinion, the method used in the paper can be applied to more generalized cases.