Exponential synchronization for stochastic neural networks driven by fractional Brownian motion

DOI10.1016/j.jfranklin.2016.02.019zbMath1347.93244OpenAlexW2298020843MaRDI QIDQ327975

Xianghui Zhou, Jun Yang, Xiaolu Zhang, Xiangwu Ding, Yanjun Liu, Wu-Neng Zhou

Publication date: 20 October 2016

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.02.019

zbMATH Keywords

fractional Brownian motionHölder inequalityGronwall inequalitystochastic neural networksexponential synchronizationHilbert-Schmidt operatorinfinitesimal generator on analytic semigroup

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stochastic systems in control theory (general) (93E03) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (7)

Quasi-synchronization of coupled neural networks with reaction-diffusion terms driven by fractional Brownian motion ⋮ Multisynchronization for coupled multistable fractional-order neural networks via impulsive control ⋮ Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control ⋮ Synchronization for fractional FitzHugh–Nagumo equations with fractional Brownian motion ⋮ Stability analysis of a general nonlinear car-following model ⋮ Synchronization of linear dynamical networks under stochastic impulsive coupling protocols ⋮ Synchronization of stochastic fractional chaotic systems

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