Stabilization of stochastic differential equations driven by G-Lévy process with discrete-time feedback control
type: Item
instance of: scholarly article
title: Stabilization of stochastic differential equations driven by G-Lévy process with discrete-time feedback control
zbMATH Open document ID: 1478.60167
author: Guangjun Shen
author: Xueying Wu
author: Xiuwei Yin
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60G65
zbMATH DE Number: 7354154
zbMATH Keywords: G-Lévy process
zbMATH Keywords: mean square exponential stability
zbMATH Keywords: quasi-sure exponential stability
zbMATH Keywords: discrete-time feedback controls
MaRDI profile type: Publication
full work available at URL: dcdsb.2020133
OpenAlex ID: W3019887124
cites work: On the existence and uniqueness of solutions to stochastic differential equations driven by \(G\)-Brownian motion with integral-Lipschitz coefficients
cites work: Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
cites work: Stabilization of Highly Nonlinear Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
cites work: Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
cites work: Large deviations for stochastic differential equations driven by \(G\)-Brownian motion
cites work: Almost sure exponential stabilisation of stochastic systems by state-feedback control
cites work: Stopping times and related Itô's calculus with \(G\)-Brownian motion
cites work: Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
cites work: Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control
cites work: Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
cites work: Q5429735
cites work: Almost Sure Exponential Stabilization by Discrete-Time Stochastic Feedback Control
cites work: Nonlinear Lévy processes and their characteristics
cites work: Nonlinear Expectations and Stochastic Calculus under Uncertainty
cites work: Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
cites work: Q5436616
cites work: Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
cites work: Q2983880
cites work: On representation theorem of sublinear expectation related to \(G\)-Lévy process and paths of \(G\)-Lévy process
cites work: Stabilization of stochastic differential equations driven by \(G\)-Brownian motion with feedback control based on discrete-time state observation
cites work: Stabilisation of SDEs and applications to synchronisation of stochastic neural network driven by G-Brownian motion with state-feedback control
cites work: The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
cites work: Stabilization of Regime-Switching Processes by Feedback Control Based on Discrete Time Observations
cites work: Martingale representation theorem for the \(G\)-expectation
cites work: Existence of solution for stochastic differential equations driven by \(G\)-Lévy process with discontinuous coefficients
cites work: Stabilization of Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
DOI: 10.3934/DCDSB.2020133
description: scientific article; zbMATH DE number 7354154