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Article: Stability Analysis of Discrete-Time Cone-Preserving Systems with Time-Varying Delays

TitleStability Analysis of Discrete-Time Cone-Preserving Systems with Time-Varying Delays
Authors
Zhu, BHLam, JLu, XJKwok, KW
KeywordsAsymptotic stability
Cone invariance
Control theory
Delay effects
Delays
Exponential stability
Numerical stability
Stability analysis
Stability criteria
Time-delay systems
Time-varying systems
Issue Date7-Aug-2023
PublisherInstitute of Electrical and Electronics Engineers
Citation
IEEE Control Systems Letters, 2023 How to Cite?
DOI: http://dx.doi.org/10.1109/LCSYS.2023.3302615
Abstract

This paper investigates stability issues related to linear discrete-time cone-preserving systems with time-varying delays. The study begins by examining the monotonicity of discrete-time systems with cone invariance. Equivalent asymptotic stability conditions for discrete-time cone-preserving systems with time-varying delays are then provided based on the monotonicity of cone-preserving systems and the comparison principle. The results indicate that time delays do not affect asymptotic stability. Furthermore, the α-exponential stability is analyzed to characterize the decay rate of the system. Finally, a numerical example is presented to illustrate the theoretical findings. These results contribute to the understanding of stability analysis of cone-preserving systems with time-varying delays.


Persistent Identifierhttp://hdl.handle.net/10722/331292
ISSN
2475-1456
2023 Impact Factor: 2.4
2023 SCImago Journal Rankings: 1.597
ISI Accession Number ID
WOS:001053791200003

 

DC FieldValueLanguage
dc.contributor.authorZhu, BH-
dc.contributor.authorLam, J-
dc.contributor.authorLu, XJ-
dc.contributor.authorKwok, KW-
dc.date.accessioned2023-09-21T06:54:25Z-
dc.date.available2023-09-21T06:54:25Z-
dc.date.issued2023-08-07-
dc.identifier.citationIEEE Control Systems Letters, 2023-
dc.identifier.issn2475-1456-
dc.identifier.urihttp://hdl.handle.net/10722/331292-
dc.description.abstract<p>This paper investigates stability issues related to linear discrete-time cone-preserving systems with time-varying delays. The study begins by examining the monotonicity of discrete-time systems with cone invariance. Equivalent asymptotic stability conditions for discrete-time cone-preserving systems with time-varying delays are then provided based on the monotonicity of cone-preserving systems and the comparison principle. The results indicate that time delays do not affect asymptotic stability. Furthermore, the α-exponential stability is analyzed to characterize the decay rate of the system. Finally, a numerical example is presented to illustrate the theoretical findings. These results contribute to the understanding of stability analysis of cone-preserving systems with time-varying delays.<br></p>-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers-
dc.relation.ispartofIEEE Control Systems Letters-
dc.subjectAsymptotic stability-
dc.subjectCone invariance-
dc.subjectControl theory-
dc.subjectDelay effects-
dc.subjectDelays-
dc.subjectExponential stability-
dc.subjectNumerical stability-
dc.subjectStability analysis-
dc.subjectStability criteria-
dc.subjectTime-delay systems-
dc.subjectTime-varying systems-
dc.titleStability Analysis of Discrete-Time Cone-Preserving Systems with Time-Varying Delays-
dc.typeArticle-
dc.identifier.doi10.1109/LCSYS.2023.3302615-
dc.identifier.scopuseid_2-s2.0-85167829397-
dc.identifier.eissn2475-1456-
dc.identifier.isiWOS:001053791200003-
dc.identifier.issnl2475-1456-

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