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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 315, Pages 222–236
DOI: https://doi.org/10.4213/tm4230 (Mi tm4230) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk

M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (303 kB) Citations (3)
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DOI: https://doi.org/10.4213/tm4230
Abstract: We consider Hamiltonian systems that are affine in a two-dimensional control with values in a disk. In the neighborhood of a second-order singular extremal, we study the structure of optimal synthesis and find a family of solutions in the form of logarithmic spirals that make countably many revolutions around a singular point and reach this point in finite time.
Funding agency Grant number
Russian Science Foundation 20-11-20169
This work is supported by the Russian Science Foundation under grant 20-11-20169.
Received: February 26, 2021
Revised: April 12, 2021
Accepted: August 10, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 315, Pages 209–222
DOI: https://doi.org/10.1134/S0081543821050163
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy, “Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk”, Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, Steklov Math. Inst., Moscow, 2021, 222–236; Proc. Steklov Inst. Math., 315 (2021), 209–222
Citation in format AMSBIB
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\paper Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk
\inbook Optimal Control and Differential Games
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 315
\pages 222--236
\publ Steklov Math. Inst.
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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