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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 48–56 (Mi timm607)  
This article is cited in 1 scientific paper (total in 1 paper)

Liapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect

Yu. F. Dolgii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: In this paper the converse problem of asymptotic stability theorem for linear autonomous systems with aftereffect are examined. Analytic representations Liapunov–Krasovskii quadratic bounded positive functionals in Hilbert space are investigated.
Keywords: differential equations with aftereffect, stability, quadratic functionals.
Received: 10.02.2010
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: Yu. F. Dolgii, “Liapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 48–56
Citation in format AMSBIB
\Bibitem{Dol10}
\by Yu.~F.~Dolgii
\paper Liapunov--Krasovskii quadratic functionals for linear autonomous systems with aftereffect
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 5
\pages 48--56
\mathnet{http://mi.mathnet.ru/timm607}
\elib{https://elibrary.ru/item.asp?id=15265831}
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  • https://www.mathnet.ru/eng/timm/v16/i5/p48
    • This publication is cited in the following 1 articles:
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