Oates, Kimberly L.2014-03-142014-03-141991etd-10102009-020109http://hdl.handle.net/10919/45107In this paper we investigate several aspects of computing control system radii for finite element approximations of control systems governed by partial differential equations. Finite element approximations of the heat equation (parabolic), the wave equation (hyperbolic) and the equations of thermoelasticity (mixed) are used as test cases. Balanced realizations, reduced order models and other transformed models are also studied.iv, 91 leavesBTDapplication/pdfenIn CopyrightLD5655.V855 1991.O264System theoryThesishttp://scholar.lib.vt.edu/theses/available/etd-10102009-020109/