Completeness on the stability criterion of fractional order LTI systems
type: Item
instance of: scholarly article
title: Completeness on the stability criterion of fractional order LTI systems
zbMATH Open document ID: 1365.34021
author: Yiheng Wei
author: Songsong Cheng
author: Yong Wang
author: Yu-Quan Chen
published in: Fractional Calculus \ Applied Analysis
publication date: 2017-04-06T00:00:00Z
review text: From the past few decades, researchers are applying the concept of fractional order system to study various problems in engineering. There are many generalizations, this work is about the stability of a fractional LTI system. The authors use the definition of fractional order positive definite to derive a set of equivalent stability criteria. The results are given in terms of linear matrix inequalities. Furthermore, the authors discuss the properties of these criteria such as completeness, singularity, conservatism, etc. At the end, a pictorial illustration is given to demonstrate the effectiveness of the obtained results.
reviewed by: Syed Abbas
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 6701727
zbMATH Keywords: fractional order systems
zbMATH Keywords: stability criterion
zbMATH Keywords: fractional order positive definite
zbMATH Keywords: linear matrix inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/fca-2017-0008
OpenAlex ID: W2589354052
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DOI: 10.1515/FCA-2017-0008
description: scientific article; zbMATH DE number 6701727