The toreador problem
type: Item
instance of: scholarly article
title: The toreador problem
zbMATH Open document ID: 0805.90138
DOI: 10.1016/0021-8928(93)90120-B
author: V. Pereyra
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-04-10T00:00:00Z
review text: This paper is devoted to the pursuit-evasion problem on the plane with 3 objects, with fixed end time and with information noises. The first object (target) is treated as stationary one and lies in the origin of \(R^ 2\). The second (evader) moves to the origin according to a given linear differential equation from the given initial state and his goal is to retain the motion of the third one outwards a given ball with radius \(R\), centered at the origin. The third one (pursuer) moves toward the evader according to a rule of simple pursuit with given intensity. It is assumed that the second object is controllable. Using the construction of so-called stable bridges, due to Krasovskij and Sobbotin, the authors propose a numerical procedure for the solution of the evasion problem described above. The procedure of control with a guide is described and some results of a computer simulation are presented.
reviewed by: Z.Wyderka
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 49N75
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 525532
zbMATH Keywords: pursuit-evasion problem on the plane
zbMATH Keywords: fixed end time
zbMATH Keywords: information noises
zbMATH Keywords: linear differential equation
zbMATH Keywords: stable bridges
MaRDI profile type: Publication
cites work: Q3262969
cites work: Q4053412
cites work: Q5532185
cites work: Splines via dynamic programming
cites work: Q5593459
cites work: Q3890468
cites work: Q5635286
cites work: The convergence problem for differential games
full work available at URL: 0021-8928(93)90120-b
OpenAlex ID: W2044686507
description: scientific article; zbMATH DE number 525532