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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 148–158 (Mi tm3239)  
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
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 138–148
DOI: https://doi.org/10.1134/S0081543810040115
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
Language: Russian
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
Citation in format AMSBIB
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\paper Tracking a~reference solution of a~control system of phase field equations
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 271
\pages 148--158
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
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\pages 138--148
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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