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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 268, Pages 215–230 (Mi tm2873)  
This article is cited in 2 scientific papers (total in 3 papers)

On synthesizing impulse controls and the theory of fast controls

A. B. Kurzhanski

Moscow State University, Moscow, Russia
Full-text PDF (233 kB) Citations (3)
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Abstract: We describe the theory of feedback control in the class of impulse-type inputs which allow higher derivatives of delta functions. We provide solutions based on Hamiltonian techniques in the dynamic programming form. Further we describe physically realizable approximations of the “ideal” impulse-type solutions by bounded functions which may also serve as “fast” feedback controls that solve the target control problem in arbitrarily small time.
Received in March 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 268, Pages 207–221
DOI: https://doi.org/10.1134/S0081543810010141
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: A. B. Kurzhanski, “On synthesizing impulse controls and the theory of fast controls”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 215–230; Proc. Steklov Inst. Math., 268 (2010), 207–221
Citation in format AMSBIB
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\paper On synthesizing impulse controls and the theory of fast controls
\inbook Differential equations and topology.~I
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
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\vol 268
\pages 215--230
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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