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Avtomatika i Telemekhanika, 1983, Issue 10, Pages 64–69 (Mi at5226)  

Deterministic Systems

$L_{2p}$-stability and absolute stability of nonlinear systems

A. I. Barkin

Moscow
Abstract: A frequency criterion is derived for stability of a nonlinear system with one nonlinear element in the functional space $L_{2p}(0;\infty)$ which is at the same time the criterion of absolute stability in face of signals such as initial conditions. The stability region in the parameter space is expanded in comparison with conventional criteria.

Received: 14.12.1981
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: A. I. Barkin, “$L_{2p}$-stability and absolute stability of nonlinear systems”, Avtomat. i Telemekh., 1983, no. 10, 64–69; Autom. Remote Control, 44:10 (1983), 1290–1295
Citation in format AMSBIB
\Bibitem{Bar83}
\by A.~I.~Barkin
\paper $L_{2p}$-stability and absolute stability of nonlinear systems
\jour Avtomat. i Telemekh.
\yr 1983
\issue 10
\pages 64--69
\mathnet{http://mi.mathnet.ru/at5226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=747001}
\zmath{https://zbmath.org/?q=an:0544.93054}
\transl
\jour Autom. Remote Control
\yr 1983
\vol 44
\issue 10
\pages 1290--1295
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