An Application of the Lurie Problem in Hopfield Neural Networks

被引：5

作者：

Pinheiro, Rafael Fernandes ^{[1
]}

Colon, Diego ^{[1
]}

机构：

[1] Univ Sao Paulo, Automat & Control Lab, Telecom & Control Dept, Ave Prof Luciano Gualberto,Travessa 03,158, BR-05508900 Sao Paulo, SP, Brazil

来源：

PROCEEDINGS OF DINAME 2017 | 2019年

关键词：

Lurie problem; Hopfield neural network; Absolute stability; ABSOLUTE STABILITY;

D O I：

10.1007/978-3-319-91217-2_26

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The goal of this work is to present applications of recent results in the Lurie problem, also known as the absolute stability problem, to Hopfield neural networks, aiming its stability analysis. We show how to obtain the mathematical model of a neural network, in terms of differential equations, and present simulations for some examples. We give special attention to networks with multiple inputs and outputs, and point future directions of research to be followed.

引用

页码：371 / 382

页数：12

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