Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 7, Pages 195–198 (Mi vyurm148)  
Short communications

Stability of complete-connected and stellar structure of neural networks

T. N. Khokhlova

South Ural State University
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Abstract: Results on stability investigation of full graph and star neural networks described by matrix delay differential equation are given. Due to stability cone method theoretical results for stability analysis of models discussed are obtained for different parameter values and arbitrary number of neurons in the network.
Keywords: delay differential equation, asymptotic stability, neural network.
Received: 06.09.2012
Document Type: Article
UDC: 517.929
Language: Russian
Citation: T. N. Khokhlova, “Stability of complete-connected and stellar structure of neural networks”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 195–198
Citation in format AMSBIB
\Bibitem{Kho12}
\by T.~N.~Khokhlova
\paper Stability of complete-connected and stellar structure of neural networks
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 7
\pages 195--198
\mathnet{http://mi.mathnet.ru/vyurm148}
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  • https://www.mathnet.ru/eng/vyurm/y2012/i7/p195
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