A stability criterion for Hopfield networks based on Popov theorem

Author

Sbabaro, D.

Author_Institution

Dept. of Electr. Eng., Concepcion Univ.

Volume

7

fYear

1994

fDate

27 Jun-2 Jul 1994

Firstpage

4567

Abstract

A Hopfield network is considered as a nonlinear system with multiples nonlinearities (so called Lurie systems). A frequency domain criterion is formulated to prove global asymptotic stability of the equilibrium point of the system, this condition is expressed as a inequality over the whole range of frequency. This known result is applied to analyse the global asymptotic stability of a Hopfield network, obtaining conditions for testing the stability of the equilibrium points and their regions of attractions. These conditions do not require symmetric interconnection matrices

Keywords

Hopfield neural nets; Popov criterion; asymptotic stability; frequency-domain analysis; nonlinear systems; Hopfield neural networks; Lurie systems; Popov theorem; equilibrium point; frequency domain criterion; global asymptotic stability; inequality; nonlinear system; nonlinearities; stability criterion; Asymptotic stability; Equations; Frequency domain analysis; Gold; Linear matrix inequalities; Nonlinear systems; Stability analysis; Stability criteria; Symmetric matrices; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks, 1994. IEEE World Congress on Computational Intelligence., 1994 IEEE International Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-1901-X

Type

conf

DOI

10.1109/ICNN.1994.375010

Filename

375010