Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation
<p dir="ltr">This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive di...
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| مؤلفون آخرون: | , |
| منشور في: |
2021
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| _version_ | 1864513560409800704 |
|---|---|
| author | Qiang Xiao (447702) |
| author2 | Yin Yang (35103) Tingwen Huang (7168691) |
| author2_role | author author |
| author_facet | Qiang Xiao (447702) Yin Yang (35103) Tingwen Huang (7168691) |
| author_role | author |
| dc.creator.none.fl_str_mv | Qiang Xiao (447702) Yin Yang (35103) Tingwen Huang (7168691) |
| dc.date.none.fl_str_mv | 2021-02-24T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1109/access.2021.3061681 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Internally_Positive_Representation_to_Stability_of_Delayed_Timescale-Type_Differential-_Difference_Equation/24049281 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Pure mathematics Intellectual property Stability criteria Delays Control theory Mathematical model Germanium Internally positive representation Differential-difference equation Time scale Bounded delay Stability analysis |
| dc.title.none.fl_str_mv | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equation on time scale, criteria of exponential stability of the system under consideration are obtained and they are robust to time delay and time scale to some extent. The theoretical results are applied to study stability for a class of linear singular system, and they are validated via two numerical examples.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/legalcode" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2021.3061681" target="_blank">https://dx.doi.org/10.1109/access.2021.3061681</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_544869f4f99969733d136a1e18858ef0 |
| identifier_str_mv | 10.1109/access.2021.3061681 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24049281 |
| publishDate | 2021 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference EquationQiang Xiao (447702)Yin Yang (35103)Tingwen Huang (7168691)Mathematical sciencesApplied mathematicsPure mathematicsIntellectual propertyStability criteriaDelaysControl theoryMathematical modelGermaniumInternally positive representationDifferential-difference equationTime scaleBounded delayStability analysis<p dir="ltr">This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential results of positive differential-difference equation on time scale, criteria of exponential stability of the system under consideration are obtained and they are robust to time delay and time scale to some extent. The theoretical results are applied to study stability for a class of linear singular system, and they are validated via two numerical examples.</p><h2>Other Information</h2><p dir="ltr">Published in: IEEE Access<br>License: <a href="https://creativecommons.org/licenses/by/4.0/legalcode" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1109/access.2021.3061681" target="_blank">https://dx.doi.org/10.1109/access.2021.3061681</a></p>2021-02-24T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1109/access.2021.3061681https://figshare.com/articles/journal_contribution/Internally_Positive_Representation_to_Stability_of_Delayed_Timescale-Type_Differential-_Difference_Equation/24049281CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/240492812021-02-24T00:00:00Z |
| spellingShingle | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation Qiang Xiao (447702) Mathematical sciences Applied mathematics Pure mathematics Intellectual property Stability criteria Delays Control theory Mathematical model Germanium Internally positive representation Differential-difference equation Time scale Bounded delay Stability analysis |
| status_str | publishedVersion |
| title | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| title_full | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| title_fullStr | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| title_full_unstemmed | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| title_short | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| title_sort | Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation |
| topic | Mathematical sciences Applied mathematics Pure mathematics Intellectual property Stability criteria Delays Control theory Mathematical model Germanium Internally positive representation Differential-difference equation Time scale Bounded delay Stability analysis |