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STOCHASTIC HOPFIELD NETWORKS WITH MULTIPLICATIVE NOISE AND JUMP MARKOV PARAMETERS

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 behaviour. 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.