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Avtomatika i Telemekhanika, 1984, Issue 2, Pages 33–44 (Mi at4607)  
Deterministic Systems

The necessary and sufficient minimum conditions in optimal control with sliding model generalized control functions

V. A. Dubovitskii

Moscow
Full-text PDF (1557 kB)
Abstract: The paper is concerned with control of a sliding mode. The necessary and sufficient minimum conditions are found for sliding modes without any a priori assumptions on the number of basic control functions or properties of weighting functions. The proposed sufficient minimum conditions are shown to insure a minimum even if generalized control functions, measures, are employed.

Received: 24.06.1982
Bibliographic databases:
Document Type: Article
UDC: 62-505
Language: Russian
Citation: V. A. Dubovitskii, “The necessary and sufficient minimum conditions in optimal control with sliding model generalized control functions”, Avtomat. i Telemekh., 1984, no. 2, 33–44; Autom. Remote Control, 45:2 (1984), 168–177
Citation in format AMSBIB
\Bibitem{Dub84}
\by V.~A.~Dubovitskii
\paper The necessary and sufficient minimum conditions in optimal control with sliding model generalized control functions
\jour Avtomat. i Telemekh.
\yr 1984
\issue 2
\pages 33--44
\mathnet{http://mi.mathnet.ru/at4607}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=758677}
\zmath{https://zbmath.org/?q=an:0554.49010}
\transl
\jour Autom. Remote Control
\yr 1984
\vol 45
\issue 2
\pages 168--177
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