Optimal Control of a Conditionally Correct System Described by the 4-th Order Equation with Conjugation Conditions

Ivan V. Sergienko; Vasiliy S. Deineka

doi:10.1615/J Automat Inf Scien.v37.i3.50

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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Optimal Control of a Conditionally Correct System Described by the 4-th Order Equation with Conjugation Conditions

Volume 37, Issue 3, 2005, pp. 31-51

DOI: 10.1615/J Automat Inf Scien.v37.i3.50

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Ivan V. Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

Vasiliy S. Deineka
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

New problems of control of distributed systems described by boundary-value problems for an elliptic equation of the 4-th order with nonunique solutions are considered. Corresponding control problems with unique states on complete spaces are constructed. It is proved that there exist unique controls for every considered problem.

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