The adaptive neural control for a class of high-order uncertain stochastic nonlinear systems
type: Item
instance of: scholarly article
title: The adaptive neural control for a class of high-order uncertain stochastic nonlinear systems
zbMATH Open document ID: 1427.93283
DOI: 10.1155/2018/4620125
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper studies the problem of the adaptive neural control for a class of high-order uncertain stochastic nonlinear systems. By using some techniques such as the backstepping recursive technique, Young's inequality, and approximation capability, a novel adaptive neural control scheme is constructed. The proposed control method can guarantee that the signals of the closed-loop system are bounded in probability, and only one parameter needs to be updated online. One example is given to show the effectiveness of the proposed control method.
Mathematics Subject Classification ID: 93E35
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 7018994
author: Xiaoyan Qin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4620125
OpenAlex ID: W2889686172
cites work: Q3883249
cites work: Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
cites work: Q5429735
cites work: Stabilization of nonlinear uncertain systems
cites work: An iISS Framework for Stochastic Robustness of Interconnected Nonlinear Systems
cites work: Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities
cites work: Stability of stochastic nonlinear systems in cascade with not necessarily unbounded decay rates
cites work: Backstepping Controller Design for Nonlinear Stochastic Systems Under a Risk-Sensitive Cost Criterion
cites work: State feedback stabilisation for stochastic high-order feedforward nonlinear systems with input time-delay
cites work: Finite-time state feedback stabilisation of stochastic high-order nonlinear feedforward systems
cites work: Q4926727
cites work: Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay
cites work: Global state feedback stabilisation of stochastic high-order nonlinear systems with high-order and low-order nonlinearities
cites work: Practical Output-Feedback Risk-Sensitive Control for Stochastic Nonlinear Systems with Stable Zero-Dynamics
cites work: Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems
cites work: Output feedback control for stochastic nonholonomic systems with growth rate restriction
cites work: A Combined Homogeneous Domination and Sign Function Approach to Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems
cites work: Decentralized robust adaptive output feedback control of stochastic nonlinear interconnected systems with dynamic interactions
cites work: Output feedback stabilization of stochastic feedforward nonlinear time-delay systems with unknown output function
cites work: Global finite-time stabilisation for a class of stochastic high-order time-varying nonlinear systems
cites work: Finite‐time stabilization of stochastic low‐order nonlinear systems with FT‐SISS inverse dynamics
cites work: Adaptive NN output-feedback control for stochastic time-delay nonlinear systems with unknown control coefficients and perturbations
cites work: Adaptive NN output-feedback decentralized stabilization for a class of large-scale stochastic nonlinear strict-feedback systems
cites work: Output tracking of stochastic nonlinear systems with unstable linearization
cites work: Cooperative control of multiple stochastic high-order nonlinear systems
cites work: Distributed practical output tracking of high-order stochastic multi-agent systems with inherent nonlinear drift and diffusion terms
Wikidata QID: Q129242333
description: scientific article; zbMATH DE number 7018994