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Avtomatika i Telemekhanika, 1965, Volume 26, Issue 5, Pages 770–781 (Mi at11354)  
A study of the solutions of a system of Riccati differential equations in the problem of analytic design of optimal controllers

V. A. Chernyatin

Moscow
Full-text PDF (2086 kB)
Abstract: The problem of analytical construction of optimal controller within the finite time interval is considered. Investigation of solutions of the Riccati differential equations set is given. Some conditions are pointed out which guarantee the existance of the definitely positive quadratic form $V$. The existance of the problem set forth is shown. Examples are given.

Received: 08.05.1964
Bibliographic databases:
Document Type: Article
UDC: 62-50
Language: Russian
Citation: V. A. Chernyatin, “A study of the solutions of a system of Riccati differential equations in the problem of analytic design of optimal controllers”, Avtomat. i Telemekh., 26:5 (1965), 770–781; Autom. Remote Control, 26 (1965), 771–782
Citation in format AMSBIB
\Bibitem{1}
\by V.~A.~Chernyatin
\paper A study of the solutions of a~system of Riccati differential equations in the problem of analytic design of optimal controllers
\jour Avtomat. i Telemekh.
\yr 1965
\vol 26
\issue 5
\pages 770--781
\mathnet{http://mi.mathnet.ru/at11354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=187969}
\transl
\jour Autom. Remote Control
\yr 1965
\vol 26
\pages 771--782
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