A moving object and observers

被引：4

作者：

Berdyshev, V. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg 620219, Russia

来源：

DOKLADY MATHEMATICS | 2015年 / 92卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Optimal Path; Doklady Mathematic; Local Coordinate System; Safe Zone; Minimax Problem;

D O I：

10.1134/S1064562415050178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of tracking a moving object in space a"e(3) with a fixed polyhedral set of observers located in a neighborhood of the shadow sets at the vertices of a polyhedron is considered. A trajectory in a given class maximizing the shortest distance between the object and the shadow sets is characterized. The problem of maximizing the integral of this distance along piecewise linear trajectories in with ordered set of edges is reduced to searching for an optimal path on a directed edge graph.

引用

页码：643 / 645

页数：3

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