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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., 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

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.

UDC: 517.96

Received: 26.03.2015



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