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    Model Reduction by Rational Interpolation

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    Date
    2016-07-01
    Author
    Gugercin, Serkan
    Beattie, Christopher A.
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    Abstract
    The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined methods for deriving interpolatory reduced models directly from input/output measurements; and extensions for the reduction of parametrized systems. This chapter offers a survey of interpolatory model reduction methods starting from basic principles and ranging up through recent developments that include weighted model reduction and structure-preserving methods based on generalized coprime representations. Our discussion is supported by an assortment of numerical examples.
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    http://hdl.handle.net/10919/74434
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    • All Faculty Deposits [4164]
    • Scholarly Works, Department of Mathematics [289]

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