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dc.contributor.authorWei, Yanling
dc.contributor.authorQiu, Jianbin
dc.contributor.authorKarimi, Hamid Reza
dc.contributor.authorWang, Mao
dc.date.accessioned2015-02-18T11:08:48Z
dc.date.available2015-02-18T11:08:48Z
dc.date.issued2014
dc.identifier.citationWei, Y., Qiu, J., Karimi, H. R., & Wang, M. (2014). Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information. Multidimensional Systems and Signal Processing, 1-23. doi: 10.1007/s11045-013-0276-xnb_NO
dc.identifier.issn0923-6082
dc.identifier.urihttp://hdl.handle.net/11250/276627
dc.descriptionPublished version of an article in the journal: Multidimensional Systems and Signal Processing. Also available from the publisher at: http://dx.doi.org/10.1007/s11045-013-0276-xnb_NO
dc.description.abstractThis paper is concerned with the problem of {Mathematical expression} model approximation for a class of two-dimensional (2-D) discrete-time Markovian jump linear systems with state-delays and imperfect mode information. The 2-D system is described by the well-known Fornasini-Marchesini local state-space model, and the imperfect mode information in the Markov chain simultaneously involves the exactly known, partially unknown and uncertain transition probabilities. By using the characteristics of the transition probability matrices, together with the convexification of uncertain domains, a new {Mathematical expression} performance analysis criterion for the underlying system is firstly derived, and then two approaches, namely, the convex linearisation approach and iterative approach, to the {Mathematical expression} model approximation synthesis are developed. The solutions to the problem are formulated in terms of strict linear matrix inequalities (LMIs) or a sequential minimization problem subject to LMI constraints. Finally, simulation studies are provided to illustrate the effectiveness of the proposed design methods.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringernb_NO
dc.subjectimperfect mode informationnb_NO
dc.subjectMarkovian jump systemsnb_NO
dc.subjectmodel approximationnb_NO
dc.subjectstate-delaysnb_NO
dc.subjecttwo-dimensional systemsnb_NO
dc.titleModel approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode informationnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411nb_NO
dc.source.pagenumber1-23nb_NO
dc.source.journalMultidimensional Systems and Signal Processingnb_NO
dc.identifier.doi10.1007/s11045-013-0276-x


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