A linear time-varying model for nonlinear systems

dc.contributor.advisorBurrus, C. Sidneyen_US
dc.creatorZhang, Dianlinen_US
dc.date.accessioned2016-04-22T21:57:53Zen_US
dc.date.available2016-04-22T21:57:53Zen_US
dc.date.issued1969en_US
dc.description.abstractIn this thesis we present an approach to the approximate solution of a class of nonlinear autonomous systems. We use a linear time-varying model, x + a(t)x = 0 to approximate the nonlinear system x + f(x) = 0, i.e., the solution of the former system is a good approximation to the solution of the latter one. The function a(t) will depend on the nature of f(x) and on the initial condition x(0). If we choose a(t) to be a constant, then this method reduces to the conventional iterative method which uses the linear time-invariant model lc + ax = 0 as an approximation to the nonlinear system. We may choose a(t) in several ways. Here we assume a form with an undetermined parameter for a(t) and then we determine the parameter by matching the trajectories of both systems in the phase plane. This method can also be applied to second order system with some modification. Excellent results are obtained when applied to specific examples. Also it is a promising idea to extend this method to driven nonlinear systems.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent38 ppen_US
dc.identifier.callnoThesis E.E. 1969 CHANGen_US
dc.identifier.citationZhang, Dianlin. "A linear time-varying model for nonlinear systems." (1969) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89618">https://hdl.handle.net/1911/89618</a>.en_US
dc.identifier.digitalRICE0649en_US
dc.identifier.urihttps://hdl.handle.net/1911/89618en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleA linear time-varying model for nonlinear systemsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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