Synchronous implementation of simultaneous multiple captures of evaders

Author:

Blagodatskikh A.I.1

Affiliation:

1. Udmurt State University

Abstract

The problem of pursuit of a group of $m$ evaders $(m\geqslant 1)$ in conflict-controlled processes with equal opportunities is considered. It is said that in the problem of chasing one evader $(m = 1)$, multiple capture occurs if a given number of pursuers catch him, and the moments of capture may not coincide. In the problem of simultaneous multiple capture of one evader, it is required that the moments of capture coincide. Simultaneous multiple capture of the whole group of evaders $(m \geqslant 2)$ occurs if, as a result of pursuit, each evader is repeatedly caught simultaneously, and at the same time. In terms of the initial positions of the participants, necessary and sufficient conditions for the simultaneous multiple capture of the whole group of evaders are obtained.

Publisher

Udmurt State University

Subject

General Medicine,Linguistics and Language,Language and Linguistics,Education,General Decision Sciences,Public Health, Environmental and Occupational Health,Orthopedics and Sports Medicine,Physical Therapy, Sports Therapy and Rehabilitation,Education,General Medicine,General Medicine,General Physics and Astronomy,Cell Biology,Plant Science,Molecular Biology,Biochemistry,Biotechnology

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The differential game “Cossacks–robbers” on time scales;Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta;2023-11

2. Simultaneous multiple capture in the presence of evader's defenders;Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta;2023-11

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