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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 63–67 (Mi ivm3078)  
Brief communications

Solving the maximum problem for the terminal norm of a linear control system

N. S. Akhmedzhanova, S. N. Ushakova

Chair of Computational Mathematics and Mechanics, Irkutsk State University, Irkutsk, Russia
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Abstract: We consider the maximization problem for the terminal norm of a linear control system. We seek for the extremal controls and improve them. Based on a sufficient optimality condition, we construct procedures that use the differentiability of the support function of the set of attainability.
Keywords: optimal control, maximum norm problem, improvement of extremal processes.
Received: 16.01.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 57–60
DOI: https://doi.org/10.3103/S1066369X09100077
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: N. S. Akhmedzhanova, S. N. Ushakova, “Solving the maximum problem for the terminal norm of a linear control system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 63–67; Russian Math. (Iz. VUZ), 53:10 (2009), 57–60
Citation in format AMSBIB
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\by N.~S.~Akhmedzhanova, S.~N.~Ushakova
\paper Solving the maximum problem for the terminal norm of a~linear control system
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 10
\pages 63--67
\mathnet{http://mi.mathnet.ru/ivm3078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657224}
\zmath{https://zbmath.org/?q=an:05621785}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 10
\pages 57--60
\crossref{https://doi.org/10.3103/S1066369X09100077}
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