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Robust stability of a class of neural networks with time delays
Authors:V. L. Kharitonov  A. D. B. Paice
Affiliation:(1) Department of Applied Math and Control, St. Petersburg University, 198904 St. Petersburg, Russia;(2) Institute for Dynamical Systems, University of Bremen, Postfach 330 440, D-28334 Bremen, Germany
Abstract:
A stability analysis of the equilibrium position for a given class of Hopfield neural networks with time delays is presented. The robustness of the equilibrium stability with respect to variations in the time delays, system parameters, and interconnection matrix is analyzed. Three approaches are presented which account in various ways for stability of the equilibrium with respect to these perturbations.Work conducted while visiting the University of Bremen, supported by the Deutscheforschungsgemeinschaft.
Keywords:Hopfield neural networks  time delays  robust stability
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