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Article: Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions
Title | Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions |
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Authors | |
Keywords | asymptotic stability fractional differential equations linear mixed fractional-order systems positive systems time-varying delays |
Issue Date | 2021 |
Publisher | John 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/304252 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Hoang, HTT | - |
dc.contributor.author | Trinh, H | - |
dc.contributor.author | Lam, J | - |
dc.date.accessioned | 2021-09-23T08:57:23Z | - |
dc.date.available | 2021-09-23T08:57:23Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | International Journal of Robust and Nonlinear Control, 2021, v. 31 n. 1, p. 37-50 | - |
dc.identifier.issn | 1049-8923 | - |
dc.identifier.uri | http://hdl.handle.net/10722/304252 | - |
dc.description.abstract | This 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.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | - |
dc.relation.ispartof | International Journal of Robust and Nonlinear Control | - |
dc.rights | Submitted (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.subject | asymptotic stability | - |
dc.subject | fractional differential equations | - |
dc.subject | linear mixed fractional-order systems | - |
dc.subject | positive systems | - |
dc.subject | time-varying delays | - |
dc.title | Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/rnc.5256 | - |
dc.identifier.scopus | eid_2-s2.0-85092731557 | - |
dc.identifier.hkuros | 325365 | - |
dc.identifier.volume | 31 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 37 | - |
dc.identifier.epage | 50 | - |
dc.identifier.isi | WOS:000579364200001 | - |
dc.publisher.place | United Kingdom | - |