scholarly journals Simultaneous multiple capture of evaders in a simple group pursuit problem

2012 ◽  
pp. 13-18
Author(s):  
A.I. Blagodatskikh ◽  
Keyword(s):  
Simple Group ◽  
Pursuit Problem ◽  
Group Pursuit

A nonstationary group pursuit problem

2009 ◽  
Vol 53 (5) ◽  
pp. 1-9 ◽  
Author(s):  
A. S. Bannikov
Keyword(s):  
Pursuit Problem ◽  
Group Pursuit

Matrix Resolving Function in the Nonstationary Linear Group Pursuit Problem Concepting Multiple Capture

2021 ◽  
pp. 2150016
Author(s):  
N. N. Petrov
Keyword(s):  
Euclidean Space ◽  
Linear Group ◽  
Sufficient Conditions ◽  
Dimensional Euclidean Space ◽  
Pursuit Problem ◽  
Mathematical Basis ◽  
Group Pursuit ◽  
Finite Dimensional

In finite-dimensional Euclidean space, an analysis is made of the problem of pursuit of a single evader by a group of pursuers, which is described by a system of the form [Formula: see text] The goal of the group of pursuers is the capture of the evader by no less than [Formula: see text] different pursuers (the instants of capture may or may not coincide). Matrix resolving functions, which are a generalization of scalar resolving functions, are used as a mathematical basis of this study. Sufficient conditions are obtained for multiple capture of a single evader in the class of quasi-strategies. Examples illustrating the results obtained are given.

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