Robust quadratic stabilizability and \(H_{\infty}\) control of uncertain linear discrete-time stochastic systems with state delay
type: Item
instance of: scholarly article
title: Robust quadratic stabilizability and \(H_{\infty}\) control of uncertain linear discrete-time stochastic systems with state delay
zbMATH Open document ID: 1400.93322
DOI: 10.1155/2016/7843940
author: Xiushan Jiang
author: Xuemin Tian
author: Weihai Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper mainly discusses the robust quadratic stability and stabilization of linear discrete-time stochastic systems with state delay and uncertain parameters. By means of the linear matrix inequality (LMI) method, a sufficient condition is, respectively, obtained for the stability and stabilizability of the considered system. Moreover, we design the robust \(H_{\infty}\) state feedback controllers such that the system with admissible uncertainties is not only quadratically internally stable but also robust \(H_{\infty}\) controllable. A sufficient condition for the existence of the desired robust \(H_{\infty}\) controller is obtained. Finally, an example with simulations is given to verify the effectiveness of our theoretical results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6953569
Wikidata QID: Q59141214
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7843940
OpenAlex ID: W2552659786
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description: scientific article; zbMATH DE number 6953569