Games of Simple Pursuit and Approach on a Two-Dimensional Cone

A. A. Melikyan, N. V. Ovakimyan and L. L. Harutiunian
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A. A. Melikyan: Russian Academy of Sciences
N. V. Ovakimyan: National Academy of Sciences
L. L. Harutiunian: Yerevan State University

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 3, No 1, 515-543

Abstract: Abstract The complete solution of two differential games with simple motion on a two-dimensional cone is presented. The method of generalized (singular) characteristics is used for the analysis of singular paths. The level lines of the game value and optimal phase portrait are constructed, and the latter is shown to include several types of singular surfaces (dispersal, equivocal, universal). An algorithm is developed for the construction of the synthesis for both players and is used in computer simulation.

Keywords: Differential games; singular characteristics; singular paths; geodesic lines; smooth manifolds (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022692227722

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