Geodesic
Method of Controlled Models in the Problem of Reconstructing a~Boundary Input
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 262 (2008), pp. 178-186

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The problem of dynamic reconstruction of boundary controls in a nonlinear parabolic equation is considered. In the case of a control concentrated in the Neumann boundary conditions, a solution algorithm is described, which is stable with respect to the information noise and calculation errors. The algorithm is based on the construction of feedback-controlled auxiliary models. 
@article{TM_2008_262_a12,
     author = {V. I. Maksimov},
     title = {Method of {Controlled} {Models} in the {Problem} of {Reconstructing} {a~Boundary} {Input}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {178--186},
     publisher = {mathdoc},
     volume = {262},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_262_a12/}
}
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V. I. Maksimov. Method of Controlled Models in the Problem of Reconstructing a~Boundary Input. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 262 (2008), pp. 178-186. http://geodesic.mathdoc.fr/item/TM_2008_262_a12/