Some geometrical properties of the phase space structure in games on manifolds
Journal
Annals of the International Society of Dynamic Games
Journal Volume
10
Pages
107-119
Date Issued
2009
Author(s)
Abstract
Pursuit-evasion games with simple motion on bounded surfaces in3Dspace, like ellipsoids of revolution or two-sided plane ellipses, are considered. In each case, we state the existence conditions for singular trajectories and specify the domain of problem parameters where the optimal phase-portrait does not contain singular trajectories and is similar to the case of Euclidean plane.
SDGs
Publisher
Birkhauser
Type
book part