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Avtomatika i Telemekhanika, 1983, Issue 11, Pages 52–63 (Mi at5243)  
This article is cited in 5 scientific papers (total in 5 papers)

Deterministic Systems

Numerical methods of designing lyapunov functions and absolute stability criteria as numerical procedures

E. S. Pyatnitskii, V. I. Skorodinskii

Moscow
Full-text PDF (2042 kB) Citations (5)
Abstract: The minimax approach to nonlinear systems is employed in numerical design of the Lyapunov function in the parametric class of functions. For nonlinear control systems a numerical method for design of Lyapunov functions is developed in the class of quadratic forms with addition of integrals of stationary nonlinearities. The method leads to absolute stability criteria as numerical procedures. An algorithm is developed for numerical design of absolute stability and absolute instability regions.

Received: 23.04.1982
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: E. S. Pyatnitskii, V. I. Skorodinskii, “Numerical methods of designing lyapunov functions and absolute stability criteria as numerical procedures”, Avtomat. i Telemekh., 1983, no. 11, 52–63; Autom. Remote Control, 44:11 (1983), 1427–1437
Citation in format AMSBIB
\Bibitem{PyaSko83}
\by E.~S.~Pyatnitskii, V.~I.~Skorodinskii
\paper Numerical methods of designing lyapunov functions and absolute stability criteria as numerical procedures
\jour Avtomat. i Telemekh.
\yr 1983
\issue 11
\pages 52--63
\mathnet{http://mi.mathnet.ru/at5243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=754235}
\zmath{https://zbmath.org/?q=an:0547.93020}
\transl
\jour Autom. Remote Control
\yr 1983
\vol 44
\issue 11
\pages 1427--1437
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  • https://www.mathnet.ru/eng/at/y1983/i11/p52
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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