State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories

dc.citation.firstpage2734en_US
dc.citation.issueNumber5en_US
dc.citation.journalTitleSIAM Journal on Control and Optimizationen_US
dc.citation.lastpage2753en_US
dc.citation.volumeNumber54en_US
dc.contributor.authorRapisarda, P.en_US
dc.contributor.authorAntoulas, A.C.en_US
dc.date.accessioned2017-05-15T21:11:38Z
dc.date.available2017-05-15T21:11:38Z
dc.date.issued2016en_US
dc.description.abstractWe solve two problems in modeling polynomial vector-exponential trajectories dependent on two independent variables. In the first one we assume that the data-generating system has no inputs, and we compute a state representation of the most powerful unfalsified model for this data. In the second instance we assume that the data-generating system is controllable and quarter-plane causal, and we compute a Roesser input-state-output model. We provide procedures for solving these identification problems, both based on the factorization of constant matrices directly constructed from the data, from which state trajectories can be computed.en_US
dc.identifier.citationRapisarda, P. and Antoulas, A.C.. "State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories." <i>SIAM Journal on Control and Optimization,</i> 54, no. 5 (2016) SIAM: 2734-2753. http://dx.doi.org/10.1137/15M1031837.
dc.identifier.doihttp://dx.doi.org/10.1137/15M1031837en_US
dc.identifier.urihttps://hdl.handle.net/1911/94280
dc.language.isoengen_US
dc.publisherSIAM
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.subject.keywordmultidimensional systemsen_US
dc.subject.keywordmost powerful unfalsified modelen_US
dc.subject.keywordRoesser modelsen_US
dc.subject.keywordbilinear differential formsen_US
dc.titleState-Space Modeling of Two-Dimensional Vector-Exponential Trajectoriesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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