Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 3, Pages 5–9 (Mi vyurm259)  
Mathematics

Stability of multilayer recursive neural networks

S. A. Ivanov, I. I. Blees

South Ural State University
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Abstract: Numerical stability criteria are described for multilayer discrete-time neural networks. Stability domains in the space of parameters are built. The problem reduces to the stability problem for difference matrix equations of a higher order with delay. Stability cones are major tolls for problem solution.
Keywords: neural networks; difference matrix equations; stability of difference equations; multilayer network.
Received: 26.03.2015
Bibliographic databases:
Document Type: Article
UDC: 517.96
Language: Russian
Citation: S. A. Ivanov, I. I. Blees, “Stability of multilayer recursive neural networks”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 5–9
Citation in format AMSBIB
\Bibitem{IvaBle15}
\by S.~A.~Ivanov, I.~I.~Blees
\paper Stability of multilayer recursive neural networks
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 3
\pages 5--9
\mathnet{http://mi.mathnet.ru/vyurm259}
\elib{https://elibrary.ru/item.asp?id=23730234}
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