Control of a heat conduction process with a quadratic cost functional

A. I. Egorov, L. N. Znamenskaya

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia

Abstract: Two control problems with a quadratic cost functional for a parabolic equation with Robin boundary conditions are investigated.

Key words: parabolic equation, elliptic operator, quadratic functional, torque ratios, optimality condition, control with minimal energy.

UDC: 519.626

Received: 05.10.2016
Revised: 27.03.2017

DOI: 10.7868/S0044466917120109

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:12, 2005–2016

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