Geodesic
Tracking a~reference solution of a~control system of phase field equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 148-158

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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. 
@article{TM_2010_271_a10,
     author = {V. I. Maksimov},
     title = {Tracking a~reference solution of a~control system of phase field equations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {148--158},
     publisher = {mathdoc},
     volume = {271},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_271_a10/}
}
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V. I. Maksimov. Tracking a~reference solution of a~control system of phase field equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 148-158. http://geodesic.mathdoc.fr/item/TM_2010_271_a10/