Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
29.01.1962
E-mail: , ,
Keywords: differential game, pursuit, evader, optimal control, cost of the game, optimal pursuit time, simultaneous games, optimal mixed strategies, saddle point.
Subject:
a) The problem of optimality of pursuit time was formulated and solved for the differential game with integral constraints on controls of players on a closed convex subset of $R^n$. It is constructed optimal strategies of players and given formula for finding optimal pursuit time; b) It was considered problems of linear differential games of many pursuers with integral constraints on controls of players. It was obtained sufficient conditions for terminating of the game. In the game with one pursuer this condition becomes necessary one; c) It was investigated zero-sum games in Hilbert space (with N. Yu. Satimov). It was constructed $\varepsilon$-optimal mixed strategies of players and founded value of the game.
Main publications:
Ibragimov G. I. A game of optimal pursuit of one object by several // J. Appl. Maths Mechs, 1998, vol. 62, no. 2, p. 187–192.
