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dc.contributor.authorSteeves, Drewen
dc.date.accessioned2017-08-22T23:14:50Z
dc.date.available2017-08-22T23:14:50Z
dc.identifier.urihttp://hdl.handle.net/1974/22034
dc.description.abstractThis thesis studies the null controllability of a system of coupled parabolic PDEs. Moreover, our work specializes to an important subclass of these control problems, where systems are underactuated and are coupled by first and zero-order couplings. We pose our control problem in a fairly new framework which divides the problem into interconnected parts: we refer to the first part as the analytic control problem, where we use slightly non-classical techniques to prove null controllability by means of internal controls appearing on every equation; we refer to the second part as the algebraic control problem, where we use an algebraic method to invert a linear partial differential operator that describes our system, which allows us to recover null controllability by means of internal controls which appear on only a few of the equations. By solving these control problems concurrently, we resolve the original problem (after some technical verifications on the regularity of the controls in the analytic system).en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsQueen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canadaen
dc.rightsProQuest PhD and Master's Theses International Dissemination Agreementen
dc.rightsIntellectual Property Guidelines at Queen's Universityen
dc.rightsCopying and Preserving Your Thesisen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectApplied Mathematicsen
dc.subjectControl Theoryen
dc.subjectPartial Differential Equationsen
dc.subjectUnderactuated Systemsen
dc.subjectCoupled Systemsen
dc.titleControllability of Underactuated Coupled Parabolic Systemsen
dc.typethesisen
dc.description.degreeM.A.Sc.en
dc.contributor.supervisorGharesifard, Bahmanen
dc.contributor.supervisorMansouri, Abdol-Rezaen
dc.contributor.departmentMathematics and Statisticsen
dc.degree.grantorQueen's University at Kingstonen


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