Geodesic
Tracking the Solution of a Linear Parabolic Equation Using Feedback Laws
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 222-231

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We consider the problem of tracking the solution of a parabolic equation with an unknown right-hand side by the solution of a similar parabolic equation. To solve this problem, we propose two noise-resistant algorithms based on the extremal shift method known in guaranteed control theory. The first algorithm pertains to the case of continuous measurement of solutions to the equations, and the second, to the case of discrete measurement.
Mots-clés : parabolic equations
Keywords: tracking problem. 
@article{TM_2020_308_a15,
     author = {V. I. Maksimov},
     title = {Tracking the {Solution} of a {Linear} {Parabolic} {Equation} {Using} {Feedback} {Laws}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {222--231},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a15/}
}
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V. I. Maksimov. Tracking the Solution of a Linear Parabolic Equation Using Feedback Laws. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 222-231. http://geodesic.mathdoc.fr/item/TM_2020_308_a15/