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Article: Stability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems

TitleStability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems
Authors
Chen, YZhao, CLam, JCui, YKwok, KW
Keywords2-dimensional systems
ℓ1-gain
Markov jump systems
positive systems
stability analysis
Issue Date2019
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp
Citation
International Journal of Systems Science, 2019, v. 50 n. 11, p. 2077-2087 How to Cite?
DOI: http://dx.doi.org/10.1080/00207721.2019.1645229
AbstractThis paper investigates the problems of stability and ℓ1-gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for ℓ1-gain computation are derived. Furthermore, the stability and ℓ1-gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings are verified through two numerical examples.
Persistent Identifierhttp://hdl.handle.net/10722/272699
ISSN
0020-7721
2021 Impact Factor: 2.648
2020 SCImago Journal Rankings: 0.591
ISI Accession Number ID
WOS:000479737400001

 

DC FieldValueLanguage
dc.contributor.authorChen, Y-
dc.contributor.authorZhao, C-
dc.contributor.authorLam, J-
dc.contributor.authorCui, Y-
dc.contributor.authorKwok, KW-
dc.date.accessioned2019-08-06T09:14:52Z-
dc.date.available2019-08-06T09:14:52Z-
dc.date.issued2019-
dc.identifier.citationInternational Journal of Systems Science, 2019, v. 50 n. 11, p. 2077-2087-
dc.identifier.issn0020-7721-
dc.identifier.urihttp://hdl.handle.net/10722/272699-
dc.description.abstractThis paper investigates the problems of stability and ℓ1-gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for ℓ1-gain computation are derived. Furthermore, the stability and ℓ1-gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings are verified through two numerical examples.-
dc.languageeng-
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp-
dc.relation.ispartofInternational Journal of Systems Science-
dc.rightsAOM/Preprint Before Accepted: his article has been accepted for publication in [JOURNAL TITLE], published by Taylor & Francis. AOM/Preprint After Accepted: This is an [original manuscript / preprint] of an article published by Taylor & Francis in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/[Article DOI]. Accepted Manuscript (AM) i.e. Postprint This is an Accepted Manuscript of an article published by Taylor & Francis in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/[Article DOI].-
dc.subject2-dimensional systems-
dc.subjectℓ1-gain-
dc.subjectMarkov jump systems-
dc.subjectpositive systems-
dc.subjectstability analysis-
dc.titleStability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems-
dc.typeArticle-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.emailKwok, KW: kwokkw@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.identifier.authorityKwok, KW=rp01924-
dc.identifier.doi10.1080/00207721.2019.1645229-
dc.identifier.scopuseid_2-s2.0-85070379590-
dc.identifier.hkuros300130-
dc.identifier.volume50-
dc.identifier.issue11-
dc.identifier.spage2077-
dc.identifier.epage2087-
dc.identifier.isiWOS:000479737400001-
dc.publisher.placeUnited Kingdom-
dc.identifier.issnl0020-7721-

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