Mean-square stability of delayed stochastic neural networks with impulsive effects driven by \(G\)-Brownian motion

DOI10.1016/j.spl.2018.07.024zbMath1406.60100OpenAlexW2885968026MaRDI QIDQ1726731

Yuanfang Gu, Qian He, Yong Ren, Rathinasamy Sakthivel

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.07.024

zbMATH Keywords

\(G\)-Brownian motionstochastic Cohen-Grossberg neural networks\(G\)-Lyapunov-Krasovskii functionalmean-square exponential input-to-state stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (11)

Observer based guaranteed cost control for Markovian jump stochastic neutral-type neural networks ⋮ Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm ⋮ On stability of large-scale \(G\)-SDEs: a decomposition approach ⋮ Dynamic behaviours for semi-discrete stochastic Cohen-Grossberg neural networks with time delays ⋮ Periodic solutions for stochastic Cohen-Grossberg neural networks with time-varying delays ⋮ Periodic dynamics for nonlocal Hopfield neural networks with random initial data ⋮ Analysis of exponential stability for neutral stochastic Cohen-Grossberg neural networks with mixed delays ⋮ Inequalities and \(p\)th moment exponential stability of impulsive delayed Hopfield neural networks ⋮ New criteria for mean square exponential stability of stochastic delay differential equations ⋮ On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G-Brownian motion ⋮ Stability analysis of Hopfield neural networks with unbounded delay driven by G-Brownian motion

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