Pursuit-evasion differential games with deception or interrupted observation
type: Item
instance of: scholarly article
title: Pursuit-evasion differential games with deception or interrupted observation
zbMATH Open document ID: 0632.90110
DOI: 10.1016/0898-1221(87)90104-0
publication date: 1987-01-01T00:00:00Z
review text: Three stochastic pursuit-evasion differential games involving two players, E (the evader) and P (the pursuer), moving in the plane are considered. In the first game [Game (a)], the case where E induces errors in P's measurements of the bearing \(\beta\) of E from P and controls the size and direction of these errors, is considered. In the second game [Game (b)], the case where P receives readings of two false targets, which are seen within the same range of P, but with different bearing angles, is considered. In the third game [Game (c)], the case where P observes the range r of E from P, but has interrupted observation of \(\beta\), is considered. In Games (a) and (b) P applies Proportional navigation guidance laws, and in Game (c) E applies a Line-of-sight guidance law. In Game (a), sufficient conditions on optimal evasion- deception strategies for E are given, and the strategies are computed for several cases. In Game (c), sufficient conditions on weak optimal pursuit strategies for P are given. A procedure is suggested for computing weak suboptimal pursuit strategies, and these are computed for a variety of cases.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A60
zbMATH DE Number: 4029323
zbMATH Keywords: planar games
zbMATH Keywords: stochastic pursuit-evasion differential games
zbMATH Keywords: false targets
zbMATH Keywords: Proportional navigation
zbMATH Keywords: Line-of-sight guidance law
zbMATH Keywords: optimal evasion-deception strategies
zbMATH Keywords: weak optimal pursuit strategies
author: Y. Yavin
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90104-0
OpenAlex ID: W2082026843
cites work: Stochastic pursuit-evasion differential games in the plane
cites work: A pursuit-evasion differential game with noisy measurements of the evader's bearing from the pursuer
cites work: A stochastic pursuit-evasion differential game with noise-corrupted measurements of the bearing
cites work: Q5585820
cites work: A stochastic homicidal chauffeur pursuit-evasion differential game
cites work: Q3862204
cites work: Optimal controls that maximize the probability of hitting a set of targets: A numerical study
cites work: Optimal control of stochastic systems with interrupted observation
cites work: Q5580725
cites work: Bang-bang partially observable feedback strategies for a rendezvous problem†
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 4029323