Markovian jump delayed Hopfield networks with multiplicative noise

A non-symmetric version of Hopfield networks subject to state-multiplicative noise, pure time delay and Markov jumps is considered. Such networks 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 L 2 gain of generalized Hopfield networks including these effects.