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Model Reduction via the Karhunen-Loeve Expansion Part I: An Exposition

dc.contributor.advisorKrishnaprasad, P.S.en_US
dc.contributor.authorNewman, Andrew J.en_US
dc.date.accessioned2007-05-23T10:01:31Z
dc.date.available2007-05-23T10:01:31Z
dc.date.issued1996en_US
dc.identifier.urihttp://hdl.handle.net/1903/5751
dc.description.abstractIn formulating mathematical models for dynamical systems, obtaining a high degree of qualitative correctness (i.e. predictive capability) may not be the only objective. The model must be useful for its intended application,and models of reduced complexity are attractive in many cases.<p>In Part I of this paper we provide an exposition of some techniques that are useful in finding models of reduced complexity for dynamical systems involving flows. The material presented here is not new. The techniques we discussare based on classical theory such as the Karhunen-Loeve expansion and the method of Galerkin, and the more recent concept of "coherent structures." They have been heavily exploited in a wide range of areas in science and engineering.<p>The attempt here is to present this collectionof important methods and ideas together, at a high level of detail, in coherent form, and in the context of model reduction for simulation and control. In this manner we lead in to Part II which illustrates theirusefulness in model reduction by applying them to some elementary examples of distributed parameter systems which are related to processes found in semiconductor manufacturing.en_US
dc.format.extent351023 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1996-32en_US
dc.subjectmathematical modelingen_US
dc.subjectmodel reductionen_US
dc.subjectKarhunen-Loeveen_US
dc.subjectproper orthogonal decompositionen_US
dc.subjectIntelligent Control Systemsen_US
dc.titleModel Reduction via the Karhunen-Loeve Expansion Part I: An Expositionen_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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