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- Publisher Website: 10.1080/00207721.2019.1645229
- Scopus: eid_2-s2.0-85070379590
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Article: Stability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems
Title | Stability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems |
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Authors | |
Keywords | 2-dimensional systems ℓ1-gain Markov jump systems positive systems stability analysis |
Issue Date | 2019 |
Publisher | Taylor & 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/272699 |
ISSN | 2023 Impact Factor: 4.9 2023 SCImago Journal Rankings: 1.851 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, Y | - |
dc.contributor.author | Zhao, C | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Cui, Y | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2019-08-06T09:14:52Z | - |
dc.date.available | 2019-08-06T09:14:52Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | International Journal of Systems Science, 2019, v. 50 n. 11, p. 2077-2087 | - |
dc.identifier.issn | 0020-7721 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272699 | - |
dc.description.abstract | This 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.language | eng | - |
dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp | - |
dc.relation.ispartof | International Journal of Systems Science | - |
dc.rights | AOM/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.subject | 2-dimensional systems | - |
dc.subject | ℓ1-gain | - |
dc.subject | Markov jump systems | - |
dc.subject | positive systems | - |
dc.subject | stability analysis | - |
dc.title | Stability and ℓ1-Gain Analysis for Positive 2-D Markov Jump Systems | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.identifier.doi | 10.1080/00207721.2019.1645229 | - |
dc.identifier.scopus | eid_2-s2.0-85070379590 | - |
dc.identifier.hkuros | 300130 | - |
dc.identifier.volume | 50 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 2077 | - |
dc.identifier.epage | 2087 | - |
dc.identifier.isi | WOS:000479737400001 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0020-7721 | - |