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dc.contributor.authorYuzhen, Geen_US
dc.contributor.authorCollins, Emmanuel G.en_US
dc.contributor.authorWatson, Layne T.en_US
dc.contributor.authorBernstein, Dennis S.en_US
dc.date.accessioned2013-06-19T14:36:02Z
dc.date.available2013-06-19T14:36:02Z
dc.date.issued1993-05-01
dc.identifierhttp://eprints.cs.vt.edu/archive/00000357/en_US
dc.identifier.urihttp://hdl.handle.net/10919/19821
dc.description.abstractThe problem of finding a reduced order model, optimal in the H-squared sense, to a given system model is a fundamental one in control system analysis and design. The addition of a H-to infinity constraint to the H-squared optimal model reduction problem results in a more practical yet computationally more difficult problem. Without the global convergence of probability-one homotopy methods the combined H-squared/H-to infinity model reduction problem is difficult to solve. Several approaches based on homotoppy methods have been proposed. The issues are the number of degrees of freedom, the well posedness of the finite dimensional optimization problem, and the numerical robustness of the resulting homotopy algorithm. Homotopy algorithms based on two formulations - input normal form; Ly, Bryson, and Cannon's 2 x 2 block parametrization - are developed and compared here.en_US
dc.format.mimetypeapplication/pdfen_US
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen_US
dc.relation.ispartofHistorical Collection(Till Dec 2001)en_US
dc.titleA Homotopy Algorithm for the Combined H-squared/H-to Infinity Model Reduction Problemen_US
dc.typeTechnical reporten_US
dc.identifier.trnumberTR-93-15en_US
dc.type.dcmitypeTexten_US
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000357/01/TR-93-15.pdf


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