V. N. Ushakov, N. G. Lavrov, A. V. Ushakov, “Construction of solutions in an approach problem of a stationary control system”, Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 4,Pages <nobr>277

This article is cited in 9 papers

Construction of solutions in an approach problem of a stationary control system

V. N. Ushakov^ab, N. G. Lavrov^a, A. V. Ushakov^b

^a Yeltsin Ural Federal University
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We consider a stationary control system on a finite time interval and study the problem of the approach of the system to a compact target set in the phase space. The scheme of the approximate solution of the approach problem is described briefly. A control problem for a gyroscope is given as an illustrating example.

Keywords: control, stationary control system, approach problem, solvability set, reachable set, integral funnel, gyroscope.

UDC: 517.977