Methods for Tracking an Object Moving in $${{\mathbb{R}}^{3}}$$ under Conditions of Its Counteraction

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-08-29 DOI:10.1134/s1064562424702168

V. I. Berdyshev

引用次数: 0

Abstract

We propose ways of acting an observer f when tracking an object $t$ moving in ${{\mathbb{R}}^{3}}$ along the shortest trajectory $\mathcal{T}$ bypassing a collection $\{ {{G}_{i}}\} $ of convex sets. The object has high-speed miniobjects threatening the observer. The tracking methods depend on the geometric properties of ${{G}_{i}}$ and $\mathcal{T}$. The observer’s task is to track the motion of the object over as long a segment of $\mathcal{T}$ as possible.

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在反作用条件下跟踪 $${{mathbb{R}}^{3}$ 中运动物体的方法

Abstract We propose ways of acting an observer f when tracking an object $t$ moving in ${{\mathbb{R}}^{3}}$ along the shortest trajectory $\mathcal{T}$ bypassing a collection $\{{G}_{i}}$ of convex sets.物体有高速小物体威胁观察者。跟踪方法取决于 ${{G}_{i}}$ 和 $\mathcal{T}$ 的几何特性。观察者的任务是在尽可能长的$\mathcal{T}$段上跟踪物体的运动。

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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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.