Hund, ManuelaMitchell, TimMlinaric, PetarSaak, Jens2023-12-212023-12-212022-06-161064-8275https://hdl.handle.net/10919/117254In this paper, we generalize existing frameworks for H2 ⊗ L2-optimal model order reduction to a broad class of parametric linear time-invariant systems. To this end, we derive first-order necessary optimality conditions for a class of structured reduced-order models and then, building on those, propose a stability-preserving optimization-based method for computing locally H2 ⊗ L2-optimal reduced-order models. We also make a theoretical comparison to existing approaches in the literature and, in numerical experiments, show how our new method, with reasonable computational effort, produces stable optimized reduced-order models with significantly lower approximation errors.Pages A1554-A157825 page(s)application/pdfenIn Copyrightparametric MORWilson conditionsH2xL2 gradientoptimization-derived ROMsArticle - Refereedhttps://doi.org/10.1137/21M140290X443Mlinaric, Petar [0000-0002-9437-7698]1095-7197