Asymptotical boundedness for stochastic coupled systems on networks driven by \(G\)-Brownian motion

DOI10.1016/j.jmaa.2018.05.070zbMath1393.34060OpenAlexW2807689777MaRDI QIDQ1645129

Yong Ren, Wensheng Yin, Wen Lu

Publication date: 28 June 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.070

zbMATH Keywords

\(G\)-Brownian motiongraph-theoryasymptotical boundednessstochastic coupled system

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Brownian motion (60J65) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

On stability of large-scale \(G\)-SDEs: a decomposition approach ⋮ Boundedness analysis of stochastic distributed delay-coupled systems on networks driven by G -Brownian motion ⋮ Boundedness analysis of neutral stochastic systems driven by \(G\)-Brownian motion ⋮ Boundedness analysis of neutral stochastic differential systems with mixed delays ⋮ Quasi-sure exponential stability and stabilisation of stochastic delay differential equations under G-expectation framework ⋮ Quasi sure exponential stabilisation of impulsive stochastic complex networks under a sublinear expectation framework ⋮ Stabilization of multi-group models with multiple dispersal and stochastic perturbation via feedback control based on discrete-time state observations ⋮ Robust stability and boundedness of stochastic differential equations with delay driven by G-Brownian motion ⋮ On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G-Brownian motion

Cites Work

• Unnamed Item
• Exponential stability of solutions to impulsive stochastic differential equations driven by \(G\)-Brownian motion
• Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
• Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching
• Optimal harvesting of a stochastic delay competitive model
• Stopping times and related Itô's calculus with \(G\)-Brownian motion
• Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
• A note on the stochastic differential equations driven by \(G\)-Brownian motion
• Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
• On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
• Boundedness for network of stochastic coupled Van der Pol oscillators with time-varying delayed coupling
• Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Asymptotical boundedness and stability for stochastic differential equations with delay driven by \(G\)-Brownian motion
• A graph-theoretic approach to boundedness of stochastic Cohen-Grossberg neural networks with Markovian switching
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• Stochastic functional differential equations with infinite delay driven by G -Brownian motion
• Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity
• The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
• Exponential synchronization of stochastic coupled oscillators networks with delays
• Multi-valued stochastic differential equations driven byG-Brownian motion and related stochastic control problems
• Exploring complex networks

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