Robust stability analysis of nonlinear fractional-order time-variant systems
type: Item
instance of: scholarly article
title: Robust stability analysis of nonlinear fractional-order time-variant systems
zbMATH Open document ID: 1407.93322
DOI: 10.1155/2014/428143
author: Chen Caixue
author: Xie Yunxiang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order \(\alpha\)\ \ \((1 < \alpha < 1)\) by using the Gronwall-Bellman lemma. Based on this theorem, a sufficient condition for designing a state feedback controller to stabilize such fractional-order systems is also obtained. Finally, a numerical example demonstrates the validity of this approach.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7016421
Wikidata QID: Q59067093
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/428143
OpenAlex ID: W2116093077
cites work: Q4233638
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description: scientific article; zbMATH DE number 7016421