Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 5, Pages 39–43 (Mi vmumm717)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Bulgakov problem of the accumulation of perturbations

D. I. Bugrov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (236 kB) Citations (1)
Abstract: The Bulgakov problem of maximizing the Euclidean norm of the solution of a linear time-invariant system at a fixed instant of time on the set of piecewise continuous bounded scalar controls is considered. A control law as a function of time and of the state of the system is proposed. The conditions ensuring that the proposed control is a solution to the problem under study are formulated.
Key words: Bulgakov problem, maximizing the Euclidean norm of the solution, linear time-invariant system, control synthesis, matrix exponent.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00182
Received: 04.04.2011
Bibliographic databases:
Document Type: Article
UDC: 629.78
Language: Russian
Citation: D. I. Bugrov, “Bulgakov problem of the accumulation of perturbations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 5, 39–43
Citation in format AMSBIB
\Bibitem{Bug11}
\by D.~I.~Bugrov
\paper Bulgakov problem of the accumulation of perturbations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 5
\pages 39--43
\mathnet{http://mi.mathnet.ru/vmumm717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2964355}
\zmath{https://zbmath.org/?q=an:1417.93209}
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