V. N. Ushakov, A. R. Matviychuk, G. V. Parshikov, “A method for constructing a resolving control in an approach problem based on attraction to the solvability set”, Trudy Inst. Mat. i Mekh. UrO RAN, 2013, Volume 19, Number 2,Pages <nobr>275

This article is cited in 15 papers

A method for constructing a resolving control in an approach problem based on attraction to the solvability set

V. N. Ushakov, A. R. Matviychuk, G. V. Parshikov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: The problem of approach of a nonlinear control system to a compact target set in the phase space at a fixed time is studied. An algorithm for constructing a solution of this problem based on maximum attraction of the system's motion to the solvability set is proposed.

Keywords: control system, game problem of approach, reachable set, solvability set, integral funnel, invariance, weak invariance.

UDC: 517.977.1

Received: 20.11.2012