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Результаты исследований: Вклад в журнал › Статья › Рецензирование
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TY - JOUR
T1 - Two algorithms for approximate construction of the set of positional absorption in the game problem of pursuit
AU - Mikhalev, D. k.
AU - Ushakov, V. n.
N1 - This work was supported by the Russian Foundation for Basic Research, projects nos. 05-01-00601 a and 04-01-96099ural a and the Russian Federation President Grant “State Support for Leading Scientific Schools,” project no. NSh-8512.2006.1.
PY - 2007/11/1
Y1 - 2007/11/1
N2 - Consideration is given to the differential game on the finite period of time in which the first player has to guarantee that the phase point will entry the terminal set and the second one must ensure the evasion of the terminal set on this interval. Is proposed a method for approximate construction of the set of positional absorption, i.e, the set of all initial points for which the problem of pursuit posed for the first player is solvable. The method is based on unification constructions and structures close to them. Relations defining the system of sets that approximates the set of positional absorption are written out. The convergence of the approximating system to the set of positional absorption is proved.
AB - Consideration is given to the differential game on the finite period of time in which the first player has to guarantee that the phase point will entry the terminal set and the second one must ensure the evasion of the terminal set on this interval. Is proposed a method for approximate construction of the set of positional absorption, i.e, the set of all initial points for which the problem of pursuit posed for the first player is solvable. The method is based on unification constructions and structures close to them. Relations defining the system of sets that approximates the set of positional absorption are written out. The convergence of the approximating system to the set of positional absorption is proved.
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000251184500013
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=36448976200
U2 - 10.1134/S0005117907110136
DO - 10.1134/S0005117907110136
M3 - Article
VL - 68
SP - 2056
EP - 2070
JO - Automation and Remote Control
JF - Automation and Remote Control
SN - 0005-1179
IS - 11
ER -
ID: 41300378