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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 323–338
DOI: https://doi.org/10.4213/mzm11304 (Mi mzm11304) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Optimal Control of Undamped Sobolev-Type Retarded Systems

L. A. Vlasenko, A. G. Rutkas

V. N. Karazin Kharkiv National University
Full-text PDF (551 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11304
Abstract: The optimal control problem for a system whose evolution is described by a Sobolev-type second-order retarded operator-differential equation is studied. The main assumption is that a restriction is imposed on the derivatives of the resolvent of the quadratic operator pencil on a ray in the right half-plane. Several applications to systems described by non-Kovalevskaya-type partial differential equations are considered.
Keywords: cosine operator function, quadratic quality functional, non-Kovalevskaya-type partial differential equation.
Received: 29.06.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 297–309
DOI: https://doi.org/10.1134/S0001434617090012
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: L. A. Vlasenko, A. G. Rutkas, “Optimal Control of Undamped Sobolev-Type Retarded Systems”, Mat. Zametki, 102:3 (2017), 323–338; Math. Notes, 102:3 (2017), 297–309
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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