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

Authors:
Yu. S. Osipov;A. V. Kryazhimskii;V. I. Maksimov
Affiliations:
Presidium of the Russian Academy of Sciences, Moscow, Russia;Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia;Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Venue:
Automation and Remote Control
Year:
2009

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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.