{"@context":"http://iiif.io/api/presentation/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/manifest.json","@type":"sc:Manifest","label":"Identification and Model Reduction of MIMO systems in Triangular Input Balanced Form","metadata":[{"label":"dc.description.sponsorship","value":"This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree."},{"label":"dc.format","value":"Monograph"},{"label":"dc.format.medium","value":"Electronic Resource"},{"label":"dc.identifier.uri","value":"http://hdl.handle.net/11401/76471"},{"label":"dc.language.iso","value":"en_US"},{"label":"dc.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.abstract","value":"Consider a discrete-time linear time invariant (LTI) d-dimensional innova- tions model, z(t+1) = Az(t)+Bx(t), (1) y(t) = Cz(t)+x(t), (2) where y (t) is a sequence of d-dimensional measurement vectors and z (t) is a state vector of dimension n. The triangular input balanced (TIB) representation of the LTI system was introduced by A.Mullhaupt and K.Riedel [1] in 1995. In the Single-Input Single-Output (SISO) case, the TIB pair is uniquely determined by the poles of the system. However, the poles alone are not enough to fully characterize the Multi-Input Multi-Output (MIMO) TIB pair. We parametrize MIMO transfer functions in terms of data of the Schur tangential algorithm. The inner part appears as a Blaschke-Potapov factorization. We relate these parameters to TIB and lattice realizations, and use this correspondence to con- struct novel methods for model reduction and identification."},{"label":"dcterms.available","value":"2017-09-20T16:50:21Z"},{"label":"dcterms.contributor","value":"Pinezich, John"},{"label":"dcterms.creator","value":"Yu, Xiao"},{"label":"dcterms.dateAccepted","value":"2017-09-20T16:50:21Z"},{"label":"dcterms.dateSubmitted","value":"2017-09-20T16:50:21Z"},{"label":"dcterms.description","value":"Department of Applied Mathematics and Statistics."},{"label":"dcterms.extent","value":"108 pg."},{"label":"dcterms.format","value":"Monograph"},{"label":"dcterms.identifier","value":"http://hdl.handle.net/11401/76471"},{"label":"dcterms.issued","value":"2014-12-01"},{"label":"dcterms.language","value":"en_US"},{"label":"dcterms.provenance","value":"Made available in DSpace on 2017-09-20T16:50:21Z (GMT). No. of bitstreams: 1\nYu_grad.sunysb_0771E_12151.pdf: 698805 bytes, checksum: b4d0a0e8de4e6afeb2cfbe64f1de6a91 (MD5)\n  Previous issue date:    1"},{"label":"dcterms.publisher","value":"The Graduate School, Stony Brook University: Stony Brook, NY."},{"label":"dcterms.subject","value":"identification, MIMO, reduction, state-space"},{"label":"dcterms.title","value":"Identification and Model Reduction of MIMO systems in Triangular Input Balanced Form"},{"label":"dcterms.type","value":"Dissertation"},{"label":"dc.type","value":"Dissertation"}],"description":"This manifest was generated dynamically","viewingDirection":"left-to-right","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json","@type":"sc:Canvas","label":"Page 1","height":1650,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/46%2F64%2F53%2F46645379544410551134410909294758814488/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","height":1650,"width":1275,"service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/46%2F64%2F53%2F46645379544410551134410909294758814488","profile":"http://iiif.io/api/image/2/level2.json"}},"on":"https://repo.library.stonybrook.edu/cantaloupe/iiif/2/canvas/page-1.json"}]}]}]}