具有中间约束条件的可变维度混合系统的充分最优条件

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2024-08-20 DOI:10.1134/s0081543824030052

A. S. Bortakovskii

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引用次数: 0

摘要

在一个混合系统中，状态空间和控制空间的连续运动与离散变化（切换）交替进行，因此需要考虑优化控制问题。切换时间的确定是考虑到每次切换成本的函数最小化的结果。在切换时间的附加约束条件下，获得了此类系统最优性的充分条件。我们将通过学术实例来展示最优条件的应用。

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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Sufficient Optimality Conditions for Hybrid Systems of Variable Dimension with Intermediate Constraints

An optimal control problem is considered for a hybrid system in which continuous motion alternates with discrete changes (switchings) of the state space and control space. The switching times are determined as a result of minimizing a functional that takes into account the costs of each switching. Sufficient conditions for the optimality of such systems under additional constraints at the switching times are obtained. The application of the optimality conditions is demonstrated using academic examples.

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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.