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Teoreticheskaya i Matematicheskaya Fizika, 1969, Volume 1, Number 1, Pages 67–94 (Mi tmf4553)  
This article is cited in 7 scientific papers (total in 9 papers)

Linear passive systems

V. S. Vladimirov
Full-text PDF (2484 kB) Citations (9)
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Abstract: Linear passive systems with many variables are examined. The necessary and sufficient conditions for passivity are deduced in terms of positive real matrices holomorphic in a tubular region above a'convex cone. Multidimensional dispersion relations are deduced, and existence and uniqueness are demonstrated for the operator inverse to any nondegenerate passive operator in the class of nondegenerate passive operators. The results are applied to scattering operators.
Received: 03.06.1969
English version:
Theoretical and Mathematical Physics, 1969, Volume 1, Issue 1, Pages 51–72
DOI: https://doi.org/10.1007/BF01028571
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Vladimirov, “Linear passive systems”, TMF, 1:1 (1969), 67–94; Theoret. and Math. Phys., 1:1 (1969), 51–72
Citation in format AMSBIB
\Bibitem{Vla69}
\by V.~S.~Vladimirov
\paper Linear passive systems
\jour TMF
\yr 1969
\vol 1
\issue 1
\pages 67--94
\mathnet{http://mi.mathnet.ru/tmf4553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=481065}
\zmath{https://zbmath.org/?q=an:1183.32003}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 1
\pages 51--72
\crossref{https://doi.org/10.1007/BF01028571}
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  • https://www.mathnet.ru/eng/tmf4553
  • https://www.mathnet.ru/eng/tmf/v1/i1/p67
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:625
    Full-text PDF :287
    References:75
    First page:4
     
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