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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Matrix Integro-Differential Riccati Equation for Parabolic System

Volume 46, Issue 1, 2014, pp. 73-83
DOI: 10.1615/JAutomatInfScien.v46.i1.80
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ABSTRACT

The problem of minimization of quadratic functional on solutions of a system of linear parabolic equations is under consideration. Controls enter simultaneously both right-hand parts of the equations and boundary conditions. For investigation of the stated optimization problem the method of Lagrange multipliers is used. Such approach makes it possible to obtain necessary conditions of optimality. Under these conditions the matrix integro-differential Riccati equation with partial derivatives was derived.

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