Benchmark examples for model reduction of linear time-invariant dynamical systems. We present a benchmark collection containing some useful real world examples, which can be used to test and compare numerical methods for model reduction. All systems can be downloaded from the web and we describe here the relevant characteristics of the benchmark examples.

References in zbMATH (referenced in 58 articles , 1 standard article )

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  1. Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan: Revisiting IRKA: connections with pole placement and backward stability (2020)
  2. Gosea, Ion Victor; Duff, Igor Pontes; Benner, Peter; Antoulas, Athanasios C.: Model order reduction of switched linear systems with constrained switching (2020)
  3. Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C.: Preserving the DAE structure in the Loewner model reduction and identification framework (2020)
  4. Hokanson, Jeffrey M.: A data-driven McMillan degree lower bound (2020)
  5. Hokanson, Jeffrey M.; Magruder, Caleb C.: ( \mathcalH_2)-optimal model reduction using projected nonlinear least squares (2020)
  6. Nakatsukasa, Yuji; Trefethen, Lloyd N.: An algorithm for real and complex rational minimax approximation (2020)
  7. Benner, Peter; Himpe, Christian: Cross-Gramian-based dominant subspaces (2019)
  8. Cao, X.; Saltik, M. B.; Weiland, S.: Optimal Hankel norm model reduction for discrete-time descriptor systems (2019)
  9. Daraghmeh, Adnan; Hartmann, Carsten; Qatanani, Naji: Balanced model reduction of linear systems with nonzero initial conditions: singular perturbation approximation (2019)
  10. Sinani, Klajdi; Gugercin, Serkan: (\mathcalH_2(t_f)) optimality conditions for a finite-time horizon (2019)
  11. Benner, Peter; Lowe, Ryan; Voigt, Matthias: (\mathcalL_\infty)-norm computation for large-scale descriptor systems using structured iterative eigensolvers (2018)
  12. Bujanović, Zvonimir; Karlsson, Lars; Kressner, Daniel: A Householder-based algorithm for Hessenberg-triangular reduction (2018)
  13. Gosea, Ion Victor; Petreczky, Mihaly; Antoulas, Athanasios C.; Fiter, Christophe: Balanced truncation for linear switched systems (2018)
  14. Gosea, I. V.; Petreczky, M.; Antoulas, A. C.: Data-driven model order reduction of linear switched systems in the Loewner framework (2018)
  15. Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.: The AAA algorithm for rational approximation (2018)
  16. Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B.: Preconditioned multishift BiCG for (\mathcalH_2)-optimal model reduction (2017)
  17. Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias: Large-scale computation of (\mathcalL_\infty)-norms by a greedy subspace method (2017)
  18. Berljafa, Mario; Güttel, Stefan: The RKFIT algorithm for nonlinear rational approximation (2017)
  19. Mohamed, K.; Mehdi, A.; Abdelkader, M.: An iterative model order reduction method for large-scale dynamical systems (2017)
  20. Scarciotti, Giordano; Astolfi, Alessandro: Data-driven model reduction by moment matching for linear and nonlinear systems (2017)

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