C&SA | Contents

Volume 50>№ 1 JANUARY — FEBRUARY 2014

UDC 519.6: 517.9

I.V. Sergienko, V.S. Deineka

OPTIMAL CONTROL OF A PARABOLIC SYSTEM AND IDENTIFICATION OF ITS PARAMETERS FOR THE KNOWN HEAT FLOWS

Abstract. The optimal control of the dynamic thermal state of a homogeneous layered plate (parabolic system) under simultaneous observation of its temperature and heat flow rate on its parts is analyzed. Explicit expressions are obtained for the gradients of residual functionals for simultaneous identification of several parameters of the system. Refs: 10 titles.

Keywords: parameter identification, gradient methods, parabolic systems, explicit expressions for gradients of residual functionals.

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Сергиенко Иван Васильевич, академик НАН Украины, директор Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: aik@public.icyb.kiev.ua

Дейнека Василий Степанович, академик НАН Украины, заведующий отделом Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: vdeineka@ukr.net