Infinite-horizon stable control of a parabolic equation

M. S. Blizorukova<sup>ab

a</sup> Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia
^b Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

Abstract: The control of a parabolic equation is considered. The solution of this equation is assumed to be measured inaccurately. An algorithm is described for finding a feedback control function such that the solution of this equation tracks the solution of another equation generated by an unknown right-hand side.

Key words: control problem, infinite-horizon parabolic equation, tracking of solutions, numerical algorithm.

UDC: 519.626

Received: 24.12.2013
Revised: 25.03.2015

DOI: 10.7868/S0044466915090070

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:9, 1461–1467

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