A Guaranteed Pursuit Time in a Differential Game in Hilbert Space
DOI:
https://doi.org/10.22452/mjs.sp2019no1.4Keywords:
Differential game, infinite system of differential equations, pursuer, evader, strategyAbstract
We study a pursuit differential game problem of one pursuer and one evader in the Hilbert space l_2. The differential game is described by an infinite number of first-order 2-systems of linear differential equations. The control functions of players are subjected to integral constraints. Game is started from the given initial position z^0. It is given another point z^1 in the space l_2. If the state of the infinite system coincides with the point z^1 at some time, then pursuit is considered completed. Our purpose is to obtain an equation to find a guaranteed pursuit time and construct a strategy for the pursuer.
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