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Matematicheskie Zametki, 2005, Volume 78, Issue 4, Pages 503–518
DOI: https://doi.org/10.4213/mzm2609 (Mi mzm2609) 		 
This article is cited in 33 scientific papers (total in 33 papers)

Existence Theorem in the Optimal Control Problem on an Infinite Time Interval

A. V. Dmitruka, N. V. Kuz'kinab

a Central Economics and Mathematics Institute, RAS
b M. V. Lomonosov Moscow State University
Full-text PDF (264 kB) Citations (33)
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DOI: https://doi.org/10.4213/mzm2609
Abstract: We consider the optimal control problem on an infinite time interval. The system is linear in the control, the functional is convex in the control, and the control set is convex and compact. We propose a new condition on the behavior of the functional at infinity, which is weaker than the previously known conditions, and prove the existence theorem for the solution under this condition. We consider several special cases and propose a general abstract scheme.
Received: 04.02.2004
Revised: 04.03.2005
English version:
Mathematical Notes, 2005, Volume 78, Issue 4, Pages 466–480
DOI: https://doi.org/10.1007/s11006-005-0147-3
Bibliographic databases:
UDC: 517.97
Language: Russian
Citation: A. V. Dmitruk, N. V. Kuz'kina, “Existence Theorem in the Optimal Control Problem on an Infinite Time Interval”, Mat. Zametki, 78:4 (2005), 503–518; Math. Notes, 78:4 (2005), 466–480
Citation in format AMSBIB
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    This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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