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dc.contributor.advisorUhlmann, Jeffrey K.eng
dc.contributor.authorZhang, Boeng
dc.date.issued2018eng
dc.date.submitted2018 Springeng
dc.description.abstractThe recent development of a generalized matrix inverse which preserves the units of state variables is very important for many areas of science and technology. In this thesis we derive new mathematical results for this inverse and prove that it offers a unified solution to replace ad hoc approaches that were needed before the new inverse became available. We begin by introducing the existing problem when a generalized inverse must be used in a system with parameters defined in incommensurate units. We test the hypothesis that the new inverse can replace special-purpose methods in robotics and control systems and we show through simulations that the new approach is not only mathematically more elegant but also significantly more efficient to compute. Additionally, we prove new properties of the new inverse involving the Kronecker matrix product and show how the new inverse can be mixed with other generalized inverses to solve more complex systems.eng
dc.description.bibrefIncludes bibliographical references.eng
dc.format.extentvii, 48 pages : illustrationeng
dc.identifier.urihttps://hdl.handle.net/10355/66299
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.titleExtending and applying properties of the uc generalized matrix inverseeng
dc.typeThesiseng
thesis.degree.disciplineComputer science (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelMasterseng
thesis.degree.nameM.S.eng


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