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Improvement and Estimation of the Approximate Optimal Positional Control

机译：近似最优位置控制的改进与估计

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摘要

Iterative procedures for improvement and approximate optimization of the positional controls with the use of the Krotov estimation functions generated by them at the iterations by means of the linear partial derivative equations and their discrete counterparts were considered, substantiated, and shown to converge to the solutions of the Bellman relations. The corresponding constructive schemes leading to approximate optimal solutions with the upper estimates were constructed, their relations were established, and comparison was made with the existing schemes of the approximate optimal design of controls.
机译：考虑，证实和证明了迭代方法，通过使用线性偏导数方程及其离散对应项在迭代过程中使用由Krotov估计函数生成的Krotov估计函数，可以改进和近似优化位置控制。贝尔曼关系。构造了相应的构造方案，用较高的估计值得出近似的最优解，建立了它们之间的关系，并与现有的近似控制最优设计方案进行了比较。

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