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Avtomatika i Telemekhanika, 2015, Issue 3, Pages 13–21 (Mi at14194)  
This article is cited in 7 scientific papers (total in 7 papers)

Nonlinear Systems

Optimal impulsive control problem with state and mixed constraints: the case of vector-valued measure

E. V. Goncharova, M. V. Staritsyn

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (203 kB) Citations (7)
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Abstract: The paper is concerned with a nonlinear optimal impulsive control problem with trajectories of bounded variation. Vector Lebesgue–Stieltjes measures play the part of controls. Studied were state and mixed constraints in the conventional and fast times, as well as joint conditions for trajectory and impulsive control. A method of reduction to the classical problem of optimal control was developed relying on the discontinuous time reparameterization. The original and reduced problems were established to be equivalent.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 3, Pages 377–384
DOI: https://doi.org/10.1134/S0005117915030029
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. V. Goncharova, M. V. Staritsyn, “Optimal impulsive control problem with state and mixed constraints: the case of vector-valued measure”, Avtomat. i Telemekh., 2015, no. 3, 13–21; Autom. Remote Control, 76:3 (2015), 377–384
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2015/i3/p13
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:50
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