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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 222, Pages 18–44 (Mi znsl4309)  
This article is cited in 6 scientific papers (total in 6 papers)

Boundary control and canonical realizations of a two-velosity dynamical system

M. I. Belisheva, S. A. Ivanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg State University, Research Institute of Mathematics and Mechanics
Full-text PDF (1032 kB) Citations (6)
Abstract: The paper is devoted to the problems of controllability and realization of the dynamical systems with two types of interacting waves propagating with different velocities. A characteristic description of the reachable sets is found. The existence of the canonical realization (model) of two-velocity system is proved (the model is a one-velocity system having the same transfer operator-function). A procedure of construction of the model is based on the operator integral arising in M. Krein's triangular factorization. A dynamical interpretation of the integral is proposed. Bibliography: 7 titles.
Received: 18.09.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 5, Pages 3788–3805
DOI: https://doi.org/10.1007/BF02355825
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. I. Belishev, S. A. Ivanov, “Boundary control and canonical realizations of a two-velosity dynamical system”, Investigations on linear operators and function theory. Part 23, Zap. Nauchn. Sem. POMI, 222, POMI, St. Petersburg, 1995, 18–44; J. Math. Sci. (New York), 87:5 (1997), 3788–3805
Citation in format AMSBIB
\Bibitem{BelIva95}
\by M.~I.~Belishev, S.~A.~Ivanov
\paper Boundary control and canonical realizations of a~two-velosity dynamical system
\inbook Investigations on linear operators and function theory. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 222
\pages 18--44
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1359993}
\zmath{https://zbmath.org/?q=an:0910.93016|0891.93018}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 5
\pages 3788--3805
\crossref{https://doi.org/10.1007/BF02355825}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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