Yu. S. Osipov, A. V. Kryazhimskii, V. I. Maksimov, “N. N. Krasovskii's extremal shift method and problems of boundary control”, Avtomat. i Telemekh., 2009, Issue 4,Pages <nobr>18

This article is cited in 21 papers

Systems with Distributed Parameters

N. N. Krasovskii's extremal shift method and problems of boundary control

Yu. S. Osipov^a, A. V. Kryazhimskii^b, V. I. Maksimov^c

^a Presidium of the Russian Academy of Sciences, Moscow, Russia
^b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
^c Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: For the boundary-controlled dynamic system obeying a parabolic differential equation with the Neumann boundary condition, the problems of following the reference motion, following the reference control, and guaranteed control (at domination of the controller resource) were solved on the basis of the N. N. Krasovskii method of extremal shift from the theory of positional differential games.

PACS: 02.30.Yy

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008