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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 229–244 (Mi timm685)  
This article is cited in 6 scientific papers (total in 6 papers)

Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

M. I. Sumin

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (243 kB) Citations (6)
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Abstract: A problem of optimal boundary control is considered for a`divergent linear parabolic equation. Equality constraints of the problem are given by nondifferentiable functionals. A dual regularization algorithm stable to errors in initial data is constructed for solving the problem. Pontryagins maximum principle plays the key role in this algorithm.
Keywords: duality, regularization, optimal boundary control, nondifferentiable functional, maximum principle.
Received: 28.07.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 275, Issue 1, Pages S161–S177
DOI: https://doi.org/10.1134/S0081543811090124
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. I. Sumin, “Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 229–244; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S161–S177
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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