V. N. Ushakov, A. R. Matviychuk, “To solution of control problems of nonlinear systems on a finite time interval”, Izv. IMI UdGU, 2015, Issue 2(46),Pages <nobr>202

This article is cited in 1 paper

To solution of control problems of nonlinear systems on a finite time interval

V. N. Ushakov, A. R. Matviychuk

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russia

Abstract: A nonlinear controlled system on a finite time interval is under consideration. The problem of rapprochement to a target set in the phase space in this period of time is studied. The scheme of approximate calculation of solvability sets based on the use of retrograde step by step procedures is proposed.

Keywords: control system, movement, reachability set, integral funnel, control, problem of rapprochement, solvability set.

UDC: 517.977.58

MSC: 93B03, 93C10

Received: 13.10.2015