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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 148–158
(Mi tm3239)
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Tracking a reference solution of a control system of phase field equations
V. I. Maksimov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
Abstract:
We consider the problem of tracking a reference solution of a dynamical system described by a pair of distributed differential equations, the phase field equations. To solve this problem, we propose an algorithm based on Yu. S. Osipov's theory of dynamic inversion and on N. N. Krasovskii's extremal shift method developed in the theory of positional differential games.
Received in September 2009
Citation:
V. I. Maksimov, “Tracking a reference solution of a control system of phase field equations”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 148–158; Proc. Steklov Inst. Math., 271 (2010), 138–148
Linking options:
https://www.mathnet.ru/eng/tm3239 https://www.mathnet.ru/eng/tm/v271/p148
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