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Article: Input-output gain analysis of linear discrete-time systems with cone invariance

TitleInput-output gain analysis of linear discrete-time systems with cone invariance
Authors
Zhu, BohaoLam, JamesShen, JunCui, YukangLu, XiujuanKwok, Ka Wai
KeywordsAsymptotic stability
Cone invariance
Delay effects
Gain
input-output gain
Mechanical engineering
positive systems
Solids
Stability criteria
static gain
Vectors
Issue Date4-Jul-2024
PublisherInstitute of Electrical and Electronics Engineers
Citation
IEEE Transactions on Automatic Control, 2024, p. 1-7 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2024.3412010
Abstract

This article investigates the input-output gain of linear discrete-time cone-preserving systems. The cone linear absolute-norm and cone max-norm, which are applied to describe input-output gains of cone-preserving systems, are introduced. Subsequently, by utilizing the property of cone-preserving systems, several necessary and sufficient conditions to characterize input-output gains of the system in terms of cone-induced norms are provided. The results indicate that input-output gains of cone-preserving systems can be characterized by the static gain matrix. The duality between the two cone-induced gains is also unveiled.


Persistent Identifierhttp://hdl.handle.net/10722/347834
ISSN
0018-9286
2023 Impact Factor: 6.2
2023 SCImago Journal Rankings: 4.501

 

DC FieldValueLanguage
dc.contributor.authorZhu, Bohao-
dc.contributor.authorLam, James-
dc.contributor.authorShen, Jun-
dc.contributor.authorCui, Yukang-
dc.contributor.authorLu, Xiujuan-
dc.contributor.authorKwok, Ka Wai-
dc.date.accessioned2024-10-01T00:30:36Z-
dc.date.available2024-10-01T00:30:36Z-
dc.date.issued2024-07-04-
dc.identifier.citationIEEE Transactions on Automatic Control, 2024, p. 1-7-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/10722/347834-
dc.description.abstract<p>This article investigates the input-output gain of linear discrete-time cone-preserving systems. The cone linear absolute-norm and cone max-norm, which are applied to describe input-output gains of cone-preserving systems, are introduced. Subsequently, by utilizing the property of cone-preserving systems, several necessary and sufficient conditions to characterize input-output gains of the system in terms of cone-induced norms are provided. The results indicate that input-output gains of cone-preserving systems can be characterized by the static gain matrix. The duality between the two cone-induced gains is also unveiled.</p>-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers-
dc.relation.ispartofIEEE Transactions on Automatic Control-
dc.subjectAsymptotic stability-
dc.subjectCone invariance-
dc.subjectDelay effects-
dc.subjectGain-
dc.subjectinput-output gain-
dc.subjectMechanical engineering-
dc.subjectpositive systems-
dc.subjectSolids-
dc.subjectStability criteria-
dc.subjectstatic gain-
dc.subjectVectors-
dc.titleInput-output gain analysis of linear discrete-time systems with cone invariance-
dc.typeArticle-
dc.identifier.doi10.1109/TAC.2024.3412010-
dc.identifier.scopuseid_2-s2.0-85197540732-
dc.identifier.spage1-
dc.identifier.epage7-
dc.identifier.eissn1558-2523-
dc.identifier.issnl0018-9286-

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