State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories
| dc.citation.firstpage | 2734 | en_US |
| dc.citation.issueNumber | 5 | en_US |
| dc.citation.journalTitle | SIAM Journal on Control and Optimization | en_US |
| dc.citation.lastpage | 2753 | en_US |
| dc.citation.volumeNumber | 54 | en_US |
| dc.contributor.author | Rapisarda, P. | en_US |
| dc.contributor.author | Antoulas, A.C. | en_US |
| dc.date.accessioned | 2017-05-15T21:11:38Z | en_US |
| dc.date.available | 2017-05-15T21:11:38Z | en_US |
| dc.date.issued | 2016 | en_US |
| dc.description.abstract | We 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.citation | Rapisarda, 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. | en_US |
| dc.identifier.doi | http://dx.doi.org/10.1137/15M1031837 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/94280 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SIAM | en_US |
| dc.rights | Article 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. | en_US |
| dc.subject.keyword | multidimensional systems | en_US |
| dc.subject.keyword | most powerful unfalsified model | en_US |
| dc.subject.keyword | Roesser models | en_US |
| dc.subject.keyword | bilinear differential forms | en_US |
| dc.title | State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |
| dc.type.publication | publisher version | en_US |
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