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An efficient numerical algorithm for the solution of a class of optimal control problems

机译:解决一类最优控制问题的高效数值算法

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摘要

A numerical algorithm for the solution of a class of optimal control problems is presented. This class is characterized as being linear-quadratic in the control, but not necessarily in the state. The algorithm is efficient in that it possesses a high rate of convergence (like Newton's method), but without being sensitive to initialization. In this respect, it combines the advantages of both the first- and second-order algorithms within the framework of a single algorithm. In addition, the algorithm requires less computation and storage than Newton's method.
机译:提出了求解一类最优控制问题的数值算法。此类的特征是在控制中为线性二次方,但不一定处于状态中。该算法高效,因为它具有很高的收敛速度(类似于牛顿法),但对初始化不敏感。在这方面,它在单个算法的框架内结合了一阶和二阶算法的优点。另外,该算法比牛顿方法需要更少的计算和存储。

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