Games of simple pursuit and approach on the manifolds
type: Item
instance of: scholarly article
title: Games of simple pursuit and approach on the manifolds
zbMATH Open document ID: 0827.90149
DOI: 10.1007/BF01974143
author: A. A. Melikyan
published in: Dynamics and Control
publication date: 1995-12-13T00:00:00Z
review text: Pursuit-evasion games, in which the pursuer has a maximum speed advantage, which the speed constraints remain homogeneous, are considered. Minimal geodesic curves will then connect any two points on the manifold. A solution for the case of manifolds having no more than two minimal geodesic curves is presented; this solution grants the player's regular motion along geodesics. Then follows a derivation of optimality conditions. A four-step algorithm, for the construction of solutions close to the boundary manifold is provided. The specific case of games on the cone is discussed.
Mathematics Subject Classification ID: 91A24
zbMATH DE Number: 672089
zbMATH Keywords: minimal geodesic curves
zbMATH Keywords: games on the cone
reviewed by: L. F. Pau
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 672089