Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Safety zones in differential games. / Mikheev, S. E.
в: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, № 3, 01.12.2003, стр. 69-78.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - Safety zones in differential games
AU - Mikheev, S. E.
PY - 2003/12/1
Y1 - 2003/12/1
N2 - Two player-points P and E in the normed space B with convex vectogrammes V ⊂ U ⊂ B have antagonistic goals: E to reach a point of some set l named 'life line' before capture, P to prevent it. Capture is P(t) = E(t). Each goal function for the players has only two values 'winning' and 'loss'. The key for game analysis is safety zone A(t). The shrinkage of safety zones t2 > t1 ⇒ A(t2) ⊂ A(t1) is of principal importance. It is shown that P's strategy providing the shrinkage for every E's strategy also provides the capture in closure of A(0).
AB - Two player-points P and E in the normed space B with convex vectogrammes V ⊂ U ⊂ B have antagonistic goals: E to reach a point of some set l named 'life line' before capture, P to prevent it. Capture is P(t) = E(t). Each goal function for the players has only two values 'winning' and 'loss'. The key for game analysis is safety zone A(t). The shrinkage of safety zones t2 > t1 ⇒ A(t2) ⊂ A(t1) is of principal importance. It is shown that P's strategy providing the shrinkage for every E's strategy also provides the capture in closure of A(0).
KW - дифференциальные игры, области достижимости
UR - http://www.scopus.com/inward/record.url?scp=2942644644&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:2942644644
SP - 69
EP - 78
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 3
ER -
ID: 50427499