2023-07-112023-07-112020-11-01Caraballo Garrido, T., Ezzine, F. y Hammami, M.A. (2020). Stability with respect to a part of the variables of stochastic di erential equations driven by G-Brownian motion. International Journal of Control, 96, 7, 1797-1809. https://doi.org/10.1080/00207179.2022.20705480020-71791366-5820https://hdl.handle.net/11441/147840In this paper, we investigate the pth moment exponential stability of stochastic dif- ferential equations driven by G-Brownian motion (G-SDEs) with respect to a part of the variables by means of the G-Lyapunov functions and recently developed It^o's calculus for SDEs driven by G-Brownian motion, as well as Gronwall's inequalities. We establish suf- cient conditions to ensure the quasi sure exponential stability of stochastic di erential equations perturbed by G-Brownian motion with respect to a part of the variables. Some illustrative examples to show the usefulness of the stability with respect to a part of the variables notion are also provided.application/pdf12 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/G-Stochastic di erential equationsG-Itô formulaG-Brownian motionPth moment exponential stability with respect to a part of the variablesQuasi sure exponential stability with respect to a part of the variablesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1080/00207179.2022.2070548