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

N. N. Petrov ()
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N. N. Petrov: Laboratory of Mathematical Control Theory, Udmurt State University, Universitetskaya ul. 1, Izhevsk 426034, Russia

International Game Theory Review (IGTR), 2021, vol. 23, issue 04, 1-13

Abstract: 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 żi = Ai(t)zi + ui − v,ui ∈ Ui,v ∈ V. The goal of the group of pursuers is the capture of the evader by no less than m 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.

Keywords: Differential game; group pursuit; pursuer; evader (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S021919892150016X

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