Markovian jump delayed Hopfield networks with multiplicative noise

Passivity analysis of stochastic time-delay neural networks

“…Similarly to [31], the results of this paper can also be extended to stochastic delayed neural networks with Markovian jumps.…”

“…Remark 5 Hopfield neural networks with Markovian jumping parameters, time delays and stochastic noises can be used to model visuo-motor processes and to mimic their behavior [31]. Similarly to [31], the results of this paper can also be extended to stochastic delayed neural networks with Markovian jumps.…”

“…reflexes [29]. Moreover, human tracking processes and visuo-motor tasks can be modeled by neural networks with stochastic noises (see [30,31]), and the research on neural networks with stochastic perturbations can provide further insight into the human tracking properties. Meanwhile, when modeling human motor tasks with visual feedback, the effect of delays should not be neglected [30].…”

“…By the Lyapunov-Krasovskii functional method, stability conditions for stochastic neural networks with time delays in terms of LMIs have been obtained in [32][33][34][35][36][37]. Applying the Lur'e-Postnikov system method, Stoica and Yaesh have dealt with the stability analysis and L 2 gain analysis for Hopfield neural networks with delays, Markovian jumping parameters and stochastic noises [31].…”

Robust exponential stability conditions for retarded systems with Lipschitz nonlinear stochastic perturbations

“…The stochastic time-delay system has been transformed into a deterministic delay-free one including norm-bounded uncertainties in [54]. Via this approach, Stoica and Yaesh [55] have addressed L 2 performance analysis of stochastic delay Hopfield neural networks with Markovian jumping parameters.…”