Schulze, P.Unger, BenjaminBeattie, Christopher A.Gugercin, Serkan2018-01-252018-01-252018-01-150024-3795http://hdl.handle.net/10919/81925We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form C&#771;(&#8721;<sub>k=1</sub><sup>K</sup> h<sub>k</sub>(s)A&#771;<sub>k</sub>)<sup>-1</sup>B&#771; where <i>h<sub>1</sub>, h<sub>2</sub>, ..., h<sub>k</sub></i> are prescribed functions that specify the surmised structure of the model. Our construction is data-driven in the sense that an interpolant is derived entirely from measurements of a transfer function. Our approach extends the Loewner realization framework to more general system structure that includes second-order (and higher) systems as well as systems with internal delays. Numerical examples demonstrate the advantages of this approach.250 - 286 (37) page(s)In CopyrightMathematics, AppliedMathematicsStructured realizationData-driven model reductionInterpolationDelay systemSecond-order systemMoment matchingMODEL ORDER REDUCTIONTIME-DELAY SYSTEMSNONLINEAR-SYSTEMSDYNAMICAL-SYSTEMSLINEAR-SYSTEMSAPPROXIMATIONINTERPOLATIONFRAMEWORKData-driven structured realizationArticle - RefereedLinear Algebra And Its Applicationshttps://doi.org/10.1016/j.laa.2017.09.0305371873-1856