Adaptive stabilization of stochastic nonlinear systems disturbed by unknown time delay and covariance noise
type: Item
instance of: scholarly article
title: Adaptive stabilization of stochastic nonlinear systems disturbed by unknown time delay and covariance noise
zbMATH Open document ID: 1426.93350
DOI: 10.1155/2017/8084529
author: Na Duan
author: Huifang Min
author: Xiaoyan Qin
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper considers a more general stochastic nonlinear time-delay system driven by unknown covariance noise and investigates its adaptive state-feedback control problem. As a remarkable feature, the growth assumptions imposed on delay-dependent nonlinear terms are removed. Then, with the help of Lyapunov-Krasovskii functionals and adaptive backstepping technique, an adaptive state-feedback controller is constructed by overcoming the negative effects brought by unknown time delay and covariance noise. Based on the designed controller, the closed-loop system can be guaranteed to be globally asymptotically stable (GAS) in probability. Finally, a simulation example demonstrates the effectiveness of the proposed scheme.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6972532
Wikidata QID: Q59147807
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/8084529
OpenAlex ID: W2607811818
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description: scientific article; zbMATH DE number 6972532