State-feedback stabilization for stochastic high-order nonlinear systems with time-varying delays
type: Item
instance of: scholarly article
title: State-feedback stabilization for stochastic high-order nonlinear systems with time-varying delays
zbMATH Open document ID: 1406.93258
DOI: 10.1155/2014/673869
author: Fangzheng Gao
author: Zheng Yuan
author: Fushun Yuan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7022854
zbMATH Keywords: state-feedback stabilization
zbMATH Keywords: stochastic nonlinear systems
zbMATH Keywords: asymptotic stability
Wikidata QID: Q59040486
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/673869
OpenAlex ID: W1982457265
cites work: Stochastic stability and control
cites work: Stabilization of nonlinear uncertain systems
cites work: Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
cites work: Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost
cites work: Reduced-order observer-based control design for nonlinear stochastic systems
cites work: Practical Output-Feedback Risk-Sensitive Control for Stochastic Nonlinear Systems with Stable Zero-Dynamics
cites work: Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems
cites work: Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems
cites work: State‐feedback stabilization for high‐order stochastic nonlinear systems with stochastic inverse dynamics
cites work: Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization
cites work: Output Tracking of High-Order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System
cites work: Adaptive state-feedback stabilization for a large class of high-order stochastic nonlinear systems
cites work: Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems under Weaker Conditions
cites work: State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics
cites work: Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems
cites work: Stability of time-delay systems
cites work: Q5201287
cites work: A distributed ensemble of relevance vector machines for large-scale data sets on Spark
cites work: Global stabilisation of high-order nonlinear systems with multiple time delays
cites work: Continuous global stabilisation of high-order time-delay nonlinear systems++
cites work: State feedback stabilization for a class of stochastic time-delay nonlinear systems
cites work: Output feedback stabilization for a class of stochastic time-delay nonlinear systems
cites work: Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays
cites work: State‐feedback stabilization for a class of stochastic time‐delay nonlinear systems
cites work: A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay
cites work: A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback
cites work: Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization
cites work: Q3128877
description: scientific article; zbMATH DE number 7022854