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Avtomatika i Telemekhanika, 1979, Issue 2, Pages 16–19 (Mi at6116)  
Deterministic Systems

Singular modes of a nonlinear system in the case of multiple maxima

V. A. Dykhta

Irkutsk
Full-text PDF (984 kB)
Abstract: The sufficient conditions [1] of a strong minimum for singular modes in the case of a linear and involutional system of multiple maxima is extended to the general case of a system of multiple maxima which can also be nonlinear. Since the set of velocities is limited the system of multiple maxima need not be involutional. The results cover the important case of the path consisting of singular and nonsingular parts.

Received: 20.05.1977
Bibliographic databases:
Document Type: Article
UDC: 62-505
Language: Russian
Citation: V. A. Dykhta, “Singular modes of a nonlinear system in the case of multiple maxima”, Avtomat. i Telemekh., 1979, no. 2, 16–19; Autom. Remote Control, 40:2 (1979), 166–168
Citation in format AMSBIB
\Bibitem{Dyk79}
\by V.~A.~Dykhta
\paper Singular modes of a nonlinear system in the case of multiple maxima
\jour Avtomat. i Telemekh.
\yr 1979
\issue 2
\pages 16--19
\mathnet{http://mi.mathnet.ru/at6116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538645}
\zmath{https://zbmath.org/?q=an:0418.49020}
\transl
\jour Autom. Remote Control
\yr 1979
\vol 40
\issue 2
\pages 166--168
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