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Bulletin of Irkutsk State University. Series Mathematics, 2019, Volume 30, Pages 45–58
DOI: https://doi.org/10.26516/1997-7670.2019.30.45 (Mi iigum394) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Dynamic systems and optimal control

Optimal control of differential inclusions, I: Lipschitzian case

B. S. Mordukhovich

Wayne State University, Detroit, USA
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DOI: https://doi.org/10.26516/1997-7670.2019.30.45
Abstract: We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation. The first part describes the method, appropriate machinery of variational analysis and then presents the main result on necessary optimality conditions in maximum principle form for Lipschitzian differential inclusions.
Keywords: optimal control, Lipschitzian differential inclusions, variational analysis, discrete approximations, generalized differentiation.
Funding agency Grant number
National Science Foundation DMS-1512846
DMS-1808978
USA Air Force Office of Scientific Research 15RT04
Australian Research Council DP-190100555
This research was partly supported by the USA National Science Foundation under grants DMS-1512846 and DMS-1808978, by the USA Air Force Office of Scientific Research under grant 15RT04, and by Australian Research Council, Discovery Project under grant DP-190100555.
Received: 05.10.2019
Bibliographic databases:
Document Type: Article
UDC: 517.97
MSC: 49J52, 49J53, 49K24, 49M25, 90C30
Language: English
Citation: B. S. Mordukhovich, “Optimal control of differential inclusions, I: Lipschitzian case”, Bulletin of Irkutsk State University. Series Mathematics, 30 (2019), 45–58
Citation in format AMSBIB
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\by B.~S.~Mordukhovich
\paper Optimal control of differential inclusions, I:~Lipschitzian case
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2019
\vol 30
\pages 45--58
\mathnet{http://mi.mathnet.ru/iigum394}
\crossref{https://doi.org/10.26516/1997-7670.2019.30.45}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000504646800004}
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