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dc.contributor.advisorFales, Rogereng
dc.contributor.authorPietarila, Kristel M., 1976-eng
dc.date.issued2009eng
dc.date.submitted2009 Springeng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on Feb 16, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Roger Fales.eng
dc.descriptionVita.eng
dc.descriptionPh.D. University of Missouri--Columbia 2009.eng
dc.description.abstractStability analysis of time-delayed (TD) systems is not easy to conduct since the addition of delays within a dynamic model results in irrational system equations. Traditional TD analysis methods involve adding approximations into the system model to represent these delays. Adding approximations can make the system equations rational, but will drive stable TD systems to instability as approximate accuracy is improved. A more advanced method would be an invaluable tool for simplifying the stability analysis procedure for TD systems. A new method for analyzing TD system stability without adding TD approximations to the system has been presented in the literature. This new TD stability analysis method, called the Matrix Lambert W (MLW) Function Method, involves using a matrix version of the Lambert W function to obtain analytic solutions for a set of delay differential equations. The research presented in this dissertation discusses the MLW Method in five parts: (1) fundamentals of the Lambert W function and MLW Method are presented, (2) a state-of-the-art review of the most current research is presented, (3) a comparison of the MLW Method versus simulation is presented for three different time-delayed systems, (4) experimental results for one of these systems are presented, and (5) enhanced MLW Method results are shown for this real world system.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.format.extentxix, 208 pageseng
dc.identifier.oclc518434599eng
dc.identifier.urihttps://hdl.handle.net/10355/6180
dc.identifier.urihttps://doi.org/10.32469/10355/6180eng
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.subject.lcshTime delay systems -- Stabilityeng
dc.titleDeveloping and automating time delay system stability analysis of dynamic systems using the Matrix Lambert W (MLW) function methodeng
dc.typeThesiseng
thesis.degree.disciplineMechanical and aerospace engineering (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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