UDC 517:977

Stroboscopic strategy in the resolving-functions method for control game problems with terminal payoff function

/ I.S. Rappoport // Kibernetika i sistemnyi analiz. — 2016. — Vol. 52, N 4. — P. 90–102.

The paper investigates the method of resolving functions with respect to the theory of conflict-controlled processes with terminal payoff function. The scheme of the method is proposed. This scheme ensures that the game ends in a certain guaranteed time in the class of stroboscopic strategies with minimum additional conditions. The guaranteed times for this scheme of the resolving- functions method are compared with those of the first direct Pontryagin method. Figs: 0. Tabl.: 0. Refs: 21 titles.

Keywords:

differential quasi-linear game, multi-valued mapping, measurable selector, stroboscopic strategy.


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Author(s):

Раппопорт Иосиф Симович, кандидат физ.-мат. наук, старший научный сотрудник Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: jeffrappoport@gmail.com