Adaptive NN state-feedback control for stochastic high-order nonlinear systems with time-varying control direction and delays
type: Item
instance of: scholarly article
title: Adaptive NN state-feedback control for stochastic high-order nonlinear systems with time-varying control direction and delays
zbMATH Open document ID: 1394.93304
DOI: 10.1155/2015/723425
author: Huifang Min
author: Na Duan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Nussbaum-type gain function and neural network (NN) approximation approaches are extended to investigate the adaptive state-feedback stabilization problem for a class of stochastic high-order nonlinear time-delay systems. The distinct features of this paper are listed as follows. Firstly, the power order condition is completely removed; the restrictions on system nonlinearities and time-varying control direction are greatly weakened. Then, based on Lyapunov-Krasovskii function and dynamic surface control technique, an adaptive NN controller is constructed to render the closed-loop system semiglobally uniformly ultimately bounded (SGUUB). Finally, a simulation example is shown to demonstrate the effectiveness of the proposed control scheme.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6927088
Wikidata QID: Q59119041
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/723425
OpenAlex ID: W2161204989
cites work: Stabilization of nonlinear uncertain systems
cites work: Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
cites work: Q5429735
cites work: Adaptive neural tracking control for a class of stochastic nonlinear systems
cites work: Adaptive neural control of stochastic nonlinear systems with unmodeled dynamics and time-varying state delays
cites work: Adaptive Neural Dynamic Surface Control For Nonlinear Pure‐Feedback Systems With Multiple Time‐Varying Delays: A <scp>L</scp>yapunov‐<scp>R</scp>azumikhin Method
cites work: Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization
cites work: State feedback control of a class of high-order stochastic nonlinear systems
cites work: Global output feedback stabilisation for a class of upper triangular stochastic nonlinear systems
cites work: Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems under Weaker Conditions
cites work: Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems
cites work: State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics
cites work: Finite-time output feedback stabilization for stochastic high-order nonlinear systems
cites work: Output Tracking of High-Order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System
cites work: A Combined Homogeneous Domination and Sign Function Approach to Output-Feedback Stabilization of Stochastic High-Order Nonlinear Systems
cites work: Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay
cites work: Further results on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay
cites work: A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay
cites work: Further results on state feedback stabilization of stochastic high-order nonlinear systems
cites work: State-feedback stabilization for stochastic high-order nonlinear systems with time-varying delays
cites work: Output feedback control for a class of stochastic high-order nonlinear systems with time-varying delays
cites work: Some remarks on a conjecture in parameter adaptive control
cites work: Q5047848
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description: scientific article; zbMATH DE number 6927088