17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper FrP08.4

STOICA, ADRIAN-MIHAIL (Univ.), Yaesh, Isaac (IMI / Advanced Systems Div.)

Hopfield Networks with Multiplicative Noise and Jump Markov Parameters

Scheduled for presentation during the Regular Session "Stochastic systems" (FrP08), Friday, July 28, 2006, 16:35−17:00, Room I

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 23, 2024

Keywords Control of stochastic systems, Neural networks, Delay systems

Abstract

A non symmetric version of Hopfield networks subject to state-multiplicative noise, pure time delay and Markov jumps is considered. Such networks seem to arise in the context of visuo-motor control loops and may, therefore, be used to mimic their complex behavior. In this paper, we adopt the Lur'e - Postnikov systems approach to analyze the stochastic stability and the L2 gain of generalized Hopfield networks including these effects.