TY - JOUR
T1 - Stochastic two‐target pursuit‐evasion differential games in three dimensions
AU - Yavin, Y.
AU - Miloh, T.
PY - 1987
Y1 - 1987
N2 - Stochastic versions of a three‐dimensional two‐target ‘game of two cars’ and a three‐dimensional two‐target ‘homicidal chauffeur’ game are considered. These are used to model a dogfight, in the (x, y, z) space, between a very agile player Q and a less manoeuvrable player P. A numerical study is conducted, by numerically solving a non‐linear partial differential equation, to investigate the role of the parameters of manoeuvrability, speed and the performance of the ‘weapon systems’ in the encounter.
AB - Stochastic versions of a three‐dimensional two‐target ‘game of two cars’ and a three‐dimensional two‐target ‘homicidal chauffeur’ game are considered. These are used to model a dogfight, in the (x, y, z) space, between a very agile player Q and a less manoeuvrable player P. A numerical study is conducted, by numerically solving a non‐linear partial differential equation, to investigate the role of the parameters of manoeuvrability, speed and the performance of the ‘weapon systems’ in the encounter.
KW - Pursuit‐evasion differential games
KW - Stochastic differential games
KW - Two‐target differential games
UR - http://www.scopus.com/inward/record.url?scp=0023436260&partnerID=8YFLogxK
U2 - 10.1002/oca.4660080402
DO - 10.1002/oca.4660080402
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AN - SCOPUS:0023436260
VL - 8
SP - 311
EP - 325
JO - Optimal Control Applications and Methods
JF - Optimal Control Applications and Methods
SN - 0143-2087
IS - 4
ER -
