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Avtomatika i Telemekhanika, 1975, Issue 6, Pages 42–49 (Mi at7900)  

Stochastic Systems

The inverse optimal-control problem and a property of nonoptimal systems

F. B. Gul'ko, Zh. A. Novoseltseva

Moscow
Abstract: Existense of the control law variation that decreases simultaneously all the performance criteria from a set of quadratic functionals in the state and control variables is proved for linear control systems which are not optimal for any performance criterion from this set. Corresponding dual results in the theory of optimal estimation are obtained by solving of the inverse optimal estimation problem.

Received: 23.04.1974
Bibliographic databases:
Document Type: Article
UDC: 62-50, 519.21
Language: Russian
Citation: F. B. Gul'ko, Zh. A. Novoseltseva, “The inverse optimal-control problem and a property of nonoptimal systems”, Avtomat. i Telemekh., 1975, no. 6, 42–49; Autom. Remote Control, 36:6 (1975), 911–918
Citation in format AMSBIB
\Bibitem{GulNov75}
\by F.~B.~Gul'ko, Zh.~A.~Novoseltseva
\paper The inverse optimal-control problem and a~property of nonoptimal systems
\jour Avtomat. i Telemekh.
\yr 1975
\issue 6
\pages 42--49
\mathnet{http://mi.mathnet.ru/at7900}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=452931}
\zmath{https://zbmath.org/?q=an:0321.93048}
\transl
\jour Autom. Remote Control
\yr 1975
\vol 36
\issue 6
\pages 911--918
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