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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 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

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.

UDC: 517.929

Received: 06.09.2012



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