Robust stability, stabilization, and \(H_{\infty}\) control of a class of nonlinear discrete time stochastic systems
type: Item
instance of: scholarly article
title: Robust stability, stabilization, and \(H_{\infty}\) control of a class of nonlinear discrete time stochastic systems
zbMATH Open document ID: 1400.93075
DOI: 10.1155/2016/5185784
author: Tianliang Zhang
author: Xiushan Jiang
author: Weihai Zhang
author: Yuhong Wang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper studies robust stability, stabilization, and \(H_{\infty}\) control for a class of nonlinear discrete time stochastic systems. Firstly, the easily testing criteria for stochastic stability and stochastic stabilizability are obtained via linear matrix inequalities (LMIs). Then a robust \(H_{\infty}\) state feedback controller is designed such that the concerned system not only is internally stochastically stabilizable but also satisfies robust \(H_{\infty}\) performance. Moreover, the previous results of the nonlinearly perturbed discrete stochastic system are generalized to the system with state, control, and external disturbance dependent noise simultaneously. Two numerical examples are given to illustrate the effectiveness of the proposed results.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6953285
Wikidata QID: Q59131506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5185784
OpenAlex ID: W2339080007
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description: scientific article; zbMATH DE number 6953285