Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 1973, Volume 28, Issue 3, Pages 89–131
DOI: https://doi.org/10.1070/RM1973v028n03ABEH001569 (Mi rm4890) 		 
This article is cited in 22 scientific papers (total in 22 papers)

The matrix Riccati differential equation and the semi-group of linear fractional transformations

M. H. Zakhar-Itkin
English version PDF (2053 kB) Citations (22) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM1973v028n03ABEH001569
Abstract: The matrix Riccati differential equation is discussed, from the point of view of dissipativity or conservativity of its solutions. A survey is given of results relating to analytic properties of these solutions and to the geometry of the corresponding semigroup of matrix linear fractional transformations; further, a probabilistic interpretation is given of the properties of being dissipative or conservative, and the connection between dissipativity of the solutions of the Riccati equation and the stability of the screw method is studied. Physical and technical applications of the mathematical theory are given.
There are 87 references.
Received: 28.10.1972
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 15A04, 20M10, 15A72, 35Bxx
Language: English
Original paper language: Russian
Citation: M. H. Zakhar-Itkin, “The matrix Riccati differential equation and the semi-group of linear fractional transformations”, Russian Math. Surveys, 28:3 (1973), 89–131
Citation in format AMSBIB
\Bibitem{Zak73}
\by M.~H.~Zakhar-Itkin
\paper The matrix Riccati differential equation and the semi-group of linear fractional transformations
\jour Russian Math. Surveys
\yr 1973
\vol 28
\issue 3
\pages 89--131
\mathnet{http://mi.mathnet.ru//eng/rm4890}
\crossref{https://doi.org/10.1070/RM1973v028n03ABEH001569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407358}
\zmath{https://zbmath.org/?q=an:0293.34056}
Linking options:
  • https://www.mathnet.ru/eng/rm4890
  • https://doi.org/10.1070/RM1973v028n03ABEH001569
  • https://www.mathnet.ru/eng/rm/v28/i3/p83
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:2425
    Russian version PDF:2226
    English version PDF:132
    References:96
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024