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dc.contributor.authorNtogramatzidis, Lorenzo
dc.contributor.authorCantoni, Michael
dc.contributor.editorRomero G.E.,Sunyaev R.A.,Sunyaev R.A.,Belloni T.M.
dc.date.accessioned2017-01-30T11:34:46Z
dc.date.available2017-01-30T11:34:46Z
dc.date.created2013-10-17T20:01:03Z
dc.date.issued2013
dc.identifier.citationNtogramatzidis, Lorenzo and Cantoni, Michael. 2013. Geometric techniques for implicit two-dimensional systems. Multidimensional Systems and Signal Processing. 24 (4): pp. 601-620.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/13089
dc.identifier.doi10.1007/s11045-012-0205-4
dc.description.abstract

Geometric tools are developed for two-dimensional (2-D) models in an implicitFornasini–Marchesini form. In particular, the structural properties of controlled and conditionedinvariance are defined and studied. These properties are investigated in terms ofquarter-plane causal solutions of the implicit model given compatible boundary conditions.The definitions of controlled and conditioned invariance introduced, along with the correspondingoutput-nulling and input-containing subspaces, are shown to be richer than theone-dimensional counterparts. The analysis carried out in this paper establishes necessaryand sufficient conditions for the solvability of 2-D disturbance decoupling problems andunknown-input observation problems. The conditions obtained are expressed in terms ofoutput-nulling and input-containing subspaces, which can be computed recursively in a finitenumber of steps.

dc.publisherSpringer Netherlands
dc.subjectTwo-dimensional systems
dc.subjectImplicit Fornasini–Marchesini models
dc.subjectControlled and conditioned invariance
dc.titleGeometric techniques for implicit two-dimensional systems
dc.typeJournal Article
dcterms.source.volume24
dcterms.source.number4
dcterms.source.startPage601
dcterms.source.endPage620
dcterms.source.issn0923-6082
dcterms.source.titleMultidimensional Systems and Signal Processing
curtin.note

The final publication is available at link.springer.com

curtin.department
curtin.accessStatusOpen access


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