Moving Object in ℝ2 and a Group of Observers

被引：0

作者：

V. I. Berdyshev

机构：

[1] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics

来源：

Proceedings of the Steklov Institute of Mathematics | 2018年 / 300卷

关键词：

moving object; observer; optimal trajectory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We formulate an extremal problem of constructing a trajectory of a moving object that is farthest from a group of observers with fixed visibility cones. Under some constraints on the arrangement of the observers, we give a characterization and a method of construction of an optimal trajectory.

引用

页码：49 / 55

页数：6

共 50 条

[1] Moving object in R-2 and a group of observers
Berdyshev, V., I
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (04): : 87 - 93
[2] Moving Object in R2 and a Group of Observers
Berdyshev, V. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 300 : 49 - 55
[3] A moving object and observers
V. I. Berdyshev
Doklady Mathematics, 2015, 92 : 643 - 645
[4] A moving object and observers
Berdyshev, V. I.
DOKLADY MATHEMATICS, 2015, 92 (02) : 643 - 645
[5] Observers and a moving object in ℝ3
V. I. Berdyshev
Doklady Mathematics, 2017, 96 : 538 - 540
[6] On the problem of tracking a moving object by observers
Berdyshev, V. I.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2015, 21 (01): : 46 - 55
[7] On the Problem of Tracking a Moving Object by Observers
Berdyshev, V. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2015, 289 : S54 - S63
[8] A moving object and observers in ℝ2 with a piecewise smooth shading set
V. I. Berdyshev
Proceedings of the Steklov Institute of Mathematics, 2017, 296 : 95 - 101
[9] Observers and a moving object in a"e3
Berdyshev, V. I.
DOKLADY MATHEMATICS, 2017, 96 (02) : 538 - 540
[10] An object and a group of observers in a normed space
V. I. Berdyshev
Proceedings of the Steklov Institute of Mathematics, 2011, 273 : 68 - 73

← 1 2 3 4 5 →