Geodesic
Stability of complete-connected and stellar structure of neural networks
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 195-198 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {T. N. Khokhlova},
     title = {Stability of complete-connected and stellar structure of neural networks},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
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T. N. Khokhlova. Stability of complete-connected and stellar structure of neural networks. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 195-198. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a32/

[1] T. N. Khokhlova, M. M. Kipnis, V. V. Malygina, “Stability cone for linear delay differential matrix equation”, Appl. Math. Letters, 24 (2011), 742–745 | DOI | MR | Zbl

[2] P. van den Dreissche, X. Zou, “Global attractivity in delayed Hopfield neural network models”, SIAM J. Appl. Math., 58:6 (1998), 1878–1890 | DOI | MR | Zbl