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Pursuit Problem of Low-Maneuverable Objects with a Ring-Shape Terminal Set
被引:0
|
作者
:
Izmest’ev I.V.
论文数:
0
引用数:
0
h-index:
0
机构:
Chelyabinsk State University, Chelyabinsk
Chelyabinsk State University, Chelyabinsk
Izmest’ev I.V.
[
1
]
Ukhobotov V.I.
论文数:
0
引用数:
0
h-index:
0
机构:
Chelyabinsk State University, Chelyabinsk
Chelyabinsk State University, Chelyabinsk
Ukhobotov V.I.
[
1
]
机构
:
[1]
Chelyabinsk State University, Chelyabinsk
来源
:
Journal of Mathematical Sciences
|
2020年
/ 248卷
/ 4期
关键词
:
49N75;
91A23;
control;
pursuit problem;
terminal set;
D O I
:
10.1007/s10958-020-04880-4
中图分类号
:
学科分类号
:
摘要
:
In this paper, we consider a pursuit problem for two moving objects, a pursuer and an evader. The objects move in the same plane under the influence of controlled forces directed always perpendicular to their velocities. The laws of variation of these forces are determined by first-order controllers. The capture is determined by the condition that the relative distance between the objects belongs to a segment with positive endpoints. For the problem considered, we construct a control of the pursuer that guarantees the capture. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码:397 / 403
页数:6
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Discrete game problem with ring-shaped terminal set
Izmest'ev, I., V
论文数:
0
引用数:
0
h-index:
0
机构:
Russian Acad Sci, Inst Math & Mech, Ural Branch, Phys & Math, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia
Russian Acad Sci, Inst Math & Mech, Ural Branch, Phys & Math, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia
Izmest'ev, I., V
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI,
2020,
30
(01):
: 18
-
30
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