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Article: Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions

TitlePositivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions
Authors
Hoang, HTTTrinh, HLam, J
Keywordsasymptotic stability
fractional differential equations
linear mixed fractional-order systems
positive systems
time-varying delays
Issue Date2021
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510
Citation
International Journal of Robust and Nonlinear Control, 2021, v. 31 n. 1, p. 37-50 How to Cite?
DOI: http://dx.doi.org/10.1002/rnc.5256
AbstractThis article provides a comprehensive study on quantitative properties of linear mixed fractional-order systems with multiple time-varying delays. The delays can be bounded or unbounded. We first obtain a result on existence and uniqueness of solutions to these systems. Then, we prove a necessary and sufficient condition for their positivity. Finally, we provide a necessary and sufficient criterion to characterize asymptotic stability of positive linear mixed fractional-order systems with multiple time-varying delays.
Persistent Identifierhttp://hdl.handle.net/10722/304252
ISSN
1049-8923
2021 Impact Factor: 3.897
2020 SCImago Journal Rankings: 1.361
ISI Accession Number ID
WOS:000579364200001

 

DC FieldValueLanguage
dc.contributor.authorHoang, HTT-
dc.contributor.authorTrinh, H-
dc.contributor.authorLam, J-
dc.date.accessioned2021-09-23T08:57:23Z-
dc.date.available2021-09-23T08:57:23Z-
dc.date.issued2021-
dc.identifier.citationInternational Journal of Robust and Nonlinear Control, 2021, v. 31 n. 1, p. 37-50-
dc.identifier.issn1049-8923-
dc.identifier.urihttp://hdl.handle.net/10722/304252-
dc.description.abstractThis article provides a comprehensive study on quantitative properties of linear mixed fractional-order systems with multiple time-varying delays. The delays can be bounded or unbounded. We first obtain a result on existence and uniqueness of solutions to these systems. Then, we prove a necessary and sufficient condition for their positivity. Finally, we provide a necessary and sufficient criterion to characterize asymptotic stability of positive linear mixed fractional-order systems with multiple time-varying delays.-
dc.languageeng-
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510-
dc.relation.ispartofInternational Journal of Robust and Nonlinear Control-
dc.rightsSubmitted (preprint) Version This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Accepted (peer-reviewed) Version This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.-
dc.subjectasymptotic stability-
dc.subjectfractional differential equations-
dc.subjectlinear mixed fractional-order systems-
dc.subjectpositive systems-
dc.subjecttime-varying delays-
dc.titlePositivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions-
dc.typeArticle-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/rnc.5256-
dc.identifier.scopuseid_2-s2.0-85092731557-
dc.identifier.hkuros325365-
dc.identifier.volume31-
dc.identifier.issue1-
dc.identifier.spage37-
dc.identifier.epage50-
dc.identifier.isiWOS:000579364200001-
dc.publisher.placeUnited Kingdom-

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