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Article: Necessary and sufficient conditions for analysis and synthesis of markov jump linear systems with incomplete transition descriptions

TitleNecessary and sufficient conditions for analysis and synthesis of markov jump linear systems with incomplete transition descriptions
Authors
Zhang, LLam, J
KeywordsMarkov jump linear systems
stability
stabilization
Issue Date2010
PublisherIEEE.
Citation
Ieee Transactions On Automatic Control, 2010, v. 55 n. 7, p. 1695-1701 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2010.2046607
AbstractThis technical note is concerned with exploring a new approach for the analysis and synthesis for Markov jump linear systems with incomplete transition descriptions. In the study, not all the elements of the transition rate matrices (TRMs) in continuous-time domain, or transition probability matrices (TPMs) in discrete-time domain are assumed to be known. By fully considering the properties of the TRMs and TPMs, and the convexity of the uncertain domains, necessary and sufficient criteria of stability and stabilization are obtained in both continuous and discrete time. Numerical examples are used to illustrate the results. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/139416
ISSN
0018-9286
2021 Impact Factor: 6.549
2020 SCImago Journal Rankings: 3.436
ISI Accession Number ID
WOS:000281961500020
Funding AgencyGrant Number
RGCHKU 7137/09E
National Natural Science Foundation of China60904001/F030107
90916005/A0202
Ministry of Education of China20092302120071
China Postdoctoral Science Foundation20090460069
Outstanding Youth Science Fund of China60825303
973 Project in China2009CB320600
Heilongjiang Postdoctoral Science Foundation, China
Overseas Talents Foundation of Harbin Institute of Technology
Funding Information:

This work was supported in part by RGC HKU 7137/09E, National Natural Science Foundation of China (60904001/F030107), Fund of Ministry of Education of China (20092302120071), China Postdoctoral Science Foundation (20090460069), Outstanding Youth Science Fund of China (60825303), 973 Project (2009CB320600) in China, Major program of National Natural Science Foundation of China (90916005/A0202), Heilongjiang Postdoctoral Science Foundation, China, and Overseas Talents Foundation of Harbin Institute of Technology. Recommended by Associated Editor P. Shi.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2011-09-23T05:49:17Z-
dc.date.available2011-09-23T05:49:17Z-
dc.date.issued2010en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 2010, v. 55 n. 7, p. 1695-1701en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139416-
dc.description.abstractThis technical note is concerned with exploring a new approach for the analysis and synthesis for Markov jump linear systems with incomplete transition descriptions. In the study, not all the elements of the transition rate matrices (TRMs) in continuous-time domain, or transition probability matrices (TPMs) in discrete-time domain are assumed to be known. By fully considering the properties of the TRMs and TPMs, and the convexity of the uncertain domains, necessary and sufficient criteria of stability and stabilization are obtained in both continuous and discrete time. Numerical examples are used to illustrate the results. © 2006 IEEE.en_HK
dc.languageengen_US
dc.publisherIEEE.-
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rights©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectMarkov jump linear systemsen_HK
dc.subjectstabilityen_HK
dc.subjectstabilizationen_HK
dc.titleNecessary and sufficient conditions for analysis and synthesis of markov jump linear systems with incomplete transition descriptionsen_HK
dc.typeArticleen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TAC.2010.2046607en_HK
dc.identifier.scopuseid_2-s2.0-77954556503en_HK
dc.identifier.hkuros196451en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77954556503&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume55en_HK
dc.identifier.issue7en_HK
dc.identifier.spage1695en_HK
dc.identifier.epage1701en_HK
dc.identifier.isiWOS:000281961500020-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, L=9735974200en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.issnl0018-9286-

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