Quasi sure exponential stabilization of nonlinear systems via intermittent \(G\)-Brownian motion

DOI10.3934/dcdsb.2019110zbMath1426.34081OpenAlexW2952743423MaRDI QIDQ2326605

Wensheng Yin, Yong Ren

Publication date: 10 October 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019110

zbMATH Keywords

nonlinear systems\(G\)-Brownian motionquasi surely exponential stabilization

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05) Stabilization of solutions to ordinary differential equations (34H15)

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Delay feedback stabilisation of stochastic differential equations driven by G-Brownian motion ⋮ Stabilization of nonlinear systems via aperiodic intermittent stochastic noise driven by G-Brownian motion with application to epidemic models ⋮ Quasi-sure exponential stability and stabilisation of stochastic delay differential equations under G-expectation framework ⋮ Stabilization by intermittent control for hybrid stochastic differential delay equations ⋮ Further results on stabilization of stochastic differential equations with delayed feedback control under \( G \)-expectation framework ⋮ Improved Results on Stabilization of $G$-SDEs by Feedback Control Based on Discrete-Time Observations

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