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Avtomatika i Telemekhanika, 1979, Issue 7, Pages 20–35 (Mi at9483)  
Deterministic Systems

On the nature of Pontriagin extremal sliding mode

S. L. Kaganovich

Leningrad
Full-text PDF (3020 kB)
Abstract: The structure of the Pontriagin extremal is investigated through analysis of sliding motions. The process of control switching in sliding mode of the Pontriagin extremal is that of iterative solution to a certain matrix game (such as Brown — Robinson). This fact leads to sufficient conditions for motion origination; sliding mode properties are studied and parameters computed.

Received: 17.07.1978
Bibliographic databases:
Document Type: Article
UDC: 62-50:506
Language: Russian
Citation: S. L. Kaganovich, “On the nature of Pontriagin extremal sliding mode”, Avtomat. i Telemekh., 1979, no. 7, 20–35; Autom. Remote Control, 40:7 (1979), 961–974
Citation in format AMSBIB
\Bibitem{Kag79}
\by S.~L.~Kaganovich
\paper On the nature of Pontriagin extremal sliding mode
\jour Avtomat. i Telemekh.
\yr 1979
\issue 7
\pages 20--35
\mathnet{http://mi.mathnet.ru/at9483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=556564}
\zmath{https://zbmath.org/?q=an:0438.49006}
\transl
\jour Autom. Remote Control
\yr 1979
\vol 40
\issue 7
\pages 961--974
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