This article is cited in 20 papers

Infinite-horizon boundary control of distributed systems

V. I. Maksimov^ab, Yu. S. Osipov<sup>cd

a</sup> Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
^b Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
^c Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
^d Presidium of the Russian Academy of Sciences, Leninskii pr. 32a, Moscow, 119991, Russia

Abstract: For a boundary controlled dynamic system, algorithms for solving the problem of tracking reference motion and the problem of tracking reference control are described. The algorithms are robust to information noise and computational errors. The solution method is based on the extremal shift method from the theory of positional differential games.

Key words: distributed control systems on infinite horizon boundary control, computational algorithm, estimation of computational errors, extremal shift method.

UDC: 517.626

Received: 06.06.2015

DOI: 10.7868/S0044466916010142

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:1, 14–25

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