Singular surfaces in a linear pursuit-evasion game with elliptical vectograms |
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Authors: | J. Shinar M. Medinah M. Biton |
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Affiliation: | (1) Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel |
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Abstract: | In a linear pursuit-evasion game with elliptical vectograms, singular surfaces appear in the plane of symmetry containing the ellipses minor axes and, as a consequence, locally nonsmooth isocost tubes are generated. Both dispersal and attractive focal surfaces are encountered. The dispersal surface is a zone of initial conditions for trajectories leaving the plane of symmetry. Optimal trajectories attracted by the focal surface merge tangentially to the plane of symmetry and remain there until the boundary of the dispersal zone is reached. Determination of the saddle-point strategies in the focal surface leads to constructing the isocost surfaces in the entire game space. |
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Keywords: | Linear pursuit-evasion games singular game surfaces elliptical vectogram saddle-point strategies |
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