非光滑最优控制问题中状态约束的松弛方法

Q4 Mathematics

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Pub Date : 2022-07-15 DOI:10.33581/2520-6508-2022-2-107-114

M. Dymkov, Siarhey M. Dymkou

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引用次数: 0

摘要

本文研究一类常微分方程组在存在状态约束的情况下的最优控制问题。得到了用一系列新的最优控制问题逼近该问题的理论结果，这些最优控制问题具有改进的控制系统的右侧和无状态约束。本文还讨论了连续控制系统的离散逼近问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A method for relaxing state constraints in nonsmooth optimal control problems

In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints. Theoretical results are obtained concerning the approximation of this problem by a sequence of new optimal control problems with a modified right-hand side of the control system and no state constraints. The issues of the approximation of continuous control systems by their discrete versions are also discussed.

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来源期刊

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Mathematics-Algebra and Number Theory

CiteScore

0.50

自引率

0.00%

发文量

审稿时长

16 weeks