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A new 3‐D pursuit‐evasion differential game between two bank‐to‐turn airborne vehicles
Author(s) -
Segal A.,
Miloh T.
Publication year - 1999
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199909/10)20:5<223::aid-oca654>3.0.co;2-0
Subject(s) - pursuer , pursuit evasion , generalization , differential game , bounded function , evasion (ethics) , computer science , differential (mechanical device) , mathematical economics , curvature , economics , mathematics , artificial intelligence , mathematical optimization , engineering , aerospace engineering , geometry , mathematical analysis , immune system , immunology , biology
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. Copyright © 1999 John Wiley & Sons, Ltd.