V. N. Ushakov, A. R. Matviychuk, A. V. Ushakov, A. L. Kazakov, “On the solutions construction of the problem of convergence to a fixed point in time”, Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 4,Pages <nobr>95

On the solutions construction of the problem of convergence to a fixed point in time

V. N. Ushakov^a, A. R. Matviychuk^a, A. V. Ushakov^a, A. L. Kazakov^b

^a Institute of Mathematics and Mechanics of Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaja street, Ekaterinburg, 620219
^b Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134, Lermontov street, Post Box 292 , Irkutsk, Russia, 664033

Abstract: One game pursuit problem with compact target set at the finite time moment is studied. The enquiry of its solution construction is researched.

Keywords: controlled system, game pursuit problem, reachable set, integral fusion.

UDC: 517.977.1