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Avtomatika i Telemekhanika, 1982, Issue 2, Pages 5–7 (Mi at5428)  

Deterministic Systems

On dichotomy of nonlinear control systems which satisfy a differential relation

N. E. Barabanov

Leningrad
Abstract: The paper is concerned with the dynamics of control systems which incorporate several nonlinear units and generally more than one equilibrium position. For a class of systems which satisfy a quadratic differential relation sufficient conditions of dichotomy are obtained. The result is illustrated with an example.

Received: 12.01.1981
Bibliographic databases:
Document Type: Article
UDC: 62-501.5
Language: Russian
Citation: N. E. Barabanov, “On dichotomy of nonlinear control systems which satisfy a differential relation”, Avtomat. i Telemekh., 1982, no. 2, 5–7; Autom. Remote Control, 43:2 (1982), 137–139
Citation in format AMSBIB
\Bibitem{Bar82}
\by N.~E.~Barabanov
\paper On dichotomy of nonlinear control systems which satisfy a differential relation
\jour Avtomat. i Telemekh.
\yr 1982
\issue 2
\pages 5--7
\mathnet{http://mi.mathnet.ru/at5428}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=705810}
\zmath{https://zbmath.org/?q=an:0502.93034}
\transl
\jour Autom. Remote Control
\yr 1982
\vol 43
\issue 2
\pages 137--139
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