Multiple capture in Pontryagin’s recurrent example

Multiple capture in Pontryagin’s recurrent example

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Article ID: iaor20162312
Volume: 77
Issue: 5
Start Page Number: 855
End Page Number: 861
Publication Date: May 2016
Journal: Automation and Remote Control
Authors: ,
Keywords: agent based system, Pontryagin
Abstract:

This paper considers Pontryagin’s generalized nonstationary example [1, p. 478] with several participants under equal dynamic and inertia capabilities of the players. Multiple capture occurs when a given number of pursuers catch one evader. We obtain sufficient conditions for the multiple capture of the evader by a group of pursuers.

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