New 3-D pursuit-evasion differential game between two bank-to-turn airborne vehicles

A. Segal, T. Miloh

Research output: Contribution to journalArticlepeer-review

Abstract

The differential game of a 3-D encounter between a fast bank-to-turn pursuer (with bounded curvature) and a slower but highly manoeuvrable evader (with unlimited rate of turn) has been solved as a `Game of Kind' and presented in a few earlier papers by the authors. In this paper, not only the pursuer, but also the evader is modelled as a bank-to-turn curvature-bound vehicle. Thus, the complexity of the game is increased, and it also turns out to be a more realistic case of spatial pursuit-evasion. The results of this paper may be considered as a first attempt towards the generalization of Isaacs' classical `Game of Two Cars' for a genuine 3-D pursuit-evasion encounter.

Original languageEnglish
Pages (from-to)223-234
Number of pages12
JournalOptimal Control Applications and Methods
Volume20
Issue number5
DOIs
StatePublished - 1999

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