M. Sh. Mamatov, Kh. Kh. Sobirov, “On the Theory of Position Pursuit Differential Games”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 144,Pages <nobr>39

This article is cited in 5 papers

On the Theory of Position Pursuit Differential Games

M. Sh. Mamatov^a, Kh. Kh. Sobirov^b

^a National University of Uzbekistan named after M. Ulugbek, Tashkent
^b Tashkent University of Information Technology

Abstract: The paper is devoted to the study of the position pursuit problem described by first-order linear differential equations. Sufficient conditions of the possibility of pursuit termination for such controllable systems are obtained. For finding control values of the pursuer at each time point, values of the phase vector at discrete moments of time are allowed to use.

Keywords: pursuer, evader, pursuit control, evasion control, positional control.

UDC: 517.977

MSC: Primary 35K25; Secondary 35K70, 35R35