Robust stability and stabilization of interval uncertain descriptor fractional-order systems with the fractional-order \(\alpha\): the \(1 \leq \alpha < 2\) case
type: Item
instance of: scholarly article
title: Robust stability and stabilization of interval uncertain descriptor fractional-order systems with the fractional-order \(\alpha\): the \(1 \leq \alpha < 2\) case
zbMATH Open document ID: 1394.93290
DOI: 10.1155/2015/606048
author: Heng Liu
author: Hongxing Wang
author: Yuan-hua Li
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Stability and stabilization of fractional-order interval system is investigated. By adding parameters to linear matrix inequalities, necessary and sufficient conditions for stability and stabilization of the system are obtained. The results on stability check for uncertain FO-LTI systems with interval coefficients of dimension \(n\) only need to solve one 4\(n\)-by-4\(n\) LMI. Numerical examples are presented to shown the effectiveness of our results.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 6926767
Wikidata QID: Q59119535
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/606048
OpenAlex ID: W1854777164
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description: scientific article; zbMATH DE number 6926767