Quasi-sure exponential stabilization of stochastic systems induced by \(G\)-Brownian motion with discrete time feedback control

DOI10.1016/j.jmaa.2019.01.045zbMath1414.93199OpenAlexW2912078486WikidataQ115570290 ScholiaQ115570290MaRDI QIDQ2414822

Yong Ren, Wensheng Yin, Cao, Jinde

Publication date: 17 May 2019

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.2019.01.045

zbMATH Keywords

\(G\)-Brownian motiondiscrete feedback controlquasi-sure exponential stabilization

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Feedback control (93B52) Discrete-time control/observation systems (93C55) Brownian motion (60J65) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (21)

Delay feedback stabilisation of stochastic differential equations driven by G-Brownian motion ⋮ On the averaging principle for SDEs driven by \(G\)-Brownian motion with non-Lipschitz coefficients ⋮ Delay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by \(G\)-Brownian motion ⋮ Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function ⋮ Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: a higher-order nonlinear growth condition ⋮ Synchronously discrete-time feedback control of large-scale systems ⋮ Delay feedback control of highly nonlinear neutral stochastic delay differential equations driven by G-Brownian motion ⋮ Stabilization of highly nonlinear hybrid systems driven by Lévy noise and delay feedback control based on discrete-time state observations ⋮ Stability with respect to a part of the variables of stochastic nonlinear systems driven by G-Brownian motion ⋮ Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations ⋮ 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 ⋮ Mean square convergence of explicit two-step methods for highly nonlinear stochastic differential equations ⋮ Analysis of an epidemiological model driven by multiple noises: ergodicity and convergence rate ⋮ Stabilization by intermittent control for hybrid stochastic differential delay equations ⋮ Improved Results on Stabilization of $G$-SDEs by Feedback Control Based on Discrete-Time Observations ⋮ Stabilization for multi-group coupled models with dispersal by feedback control based on discrete-time observations in diffusion part ⋮ Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by \(G\)-Brownian motion ⋮ Stabilisation of stochastic multi-group models driven by G-Brownian motion via delay feedback control ⋮ Stability analysis of hybrid stochastic delayed Cohen-Grossberg neural networks with Lévy noise and Markov switching ⋮ Stabilisation of hybrid stochastic systems with Lévy noise by discrete-time feedback control

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