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Open AccessArticle

A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games

Department of Engineering and Mathematics, Sheffield Hallam University, Howard Street, Sheffield S1 1WB, UK
Games 2020, 11(4), 54; https://doi.org/10.3390/g11040054
Received: 10 October 2020 / Revised: 8 November 2020 / Accepted: 16 November 2020 / Published: 20 November 2020
(This article belongs to the Special Issue Optimal Control Theory)
Pursuit-evasion games are used to define guidance strategies for multi-agent planning problems. Although optimal strategies exist for deterministic scenarios, in the case when information about the opponent players is imperfect, it is important to evaluate the effect of uncertainties on the estimated variables. This paper proposes a method to characterize the game space of a pursuit-evasion game under a stochastic perspective. The Mahalanobis distance is used as a metric to determine the levels of confidence in the estimation of the Zero Effort Miss across the capture zone. This information can be used to gain an insight into the guidance strategy. A simulation is carried out to provide numerical results. View Full-Text
Keywords: pursuit-evasion games; missile guidance; differential games; observability; Mahalanobis distance; Cramér–Rao lower bound pursuit-evasion games; missile guidance; differential games; observability; Mahalanobis distance; Cramér–Rao lower bound
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MDPI and ACS Style

Battistini, S. A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games. Games 2020, 11, 54. https://doi.org/10.3390/g11040054

AMA Style

Battistini S. A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games. Games. 2020; 11(4):54. https://doi.org/10.3390/g11040054

Chicago/Turabian Style

Battistini, Simone. 2020. "A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games" Games 11, no. 4: 54. https://doi.org/10.3390/g11040054

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