Characterization of Barriers of Differential Games

A. E. Rapaport
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A. E. Rapaport: Institut National de Recherche Agronomique

Journal of Optimization Theory and Applications, 1998, vol. 97, issue 1, No 9, 179 pages

Abstract: Abstract In pursuit-evasion games, when a barrier occurs, splitting the state space into capture and evasion areas, in order to characterize this manifold, the study of the minimum time function requires discontinuous generalized solutions of the Isaacs equation. Thanks to the minimal oriented distance from the target, we obtain a characterization by approximation with continuous functions. The barrier is characterized by the largest upper semicontinuous viscosity subsolution of a variational inequality. This result extends the Isaacs semipermeability property.

Keywords: Differential games; barriers; Isaacs equation; viscosity solutions (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022631318424

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