Head of the Group

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453
Room: S2.15
Links: Publications Google Scholar Profile Researcher ID

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Room: S2.16
Janine Holzmann
Phone: +49 391 6110 416
Room: S3.17

Group Page

Computational Methods in Systems and Control Theory
View all information on the group Computational Methods in Systems and Control Theory, research focus, projects and people.

Publications

Publications CSC group

Journal Article (194)

  1. MPG.PuRe
    DOI
    Journal Article
    Ahmad, M. I.; Benner, P.; Feng, L.: A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems. International Journal of Computer Mathematics 96 (10), pp. 1899 - 1909 (2019)
  2. MPG.PuRe
    DOI
    Journal Article
    Ahmad, M. I.; Benner, P.; Feng, L.: Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators. Engineering Computations 36 (1), pp. 25 - 44 (2019)
  3. MPG.PuRe
    Journal Article
    Baumann, M.; Grundel, S.; Sauerteig, P.; Worthmann, K.: Replacing Distributed Optimization by Surrogate Models in Coupled Microgrids. at - Automatisierungstechnik (accepted)
  4. MPG.PuRe
    pre-print
    Journal Article
    Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics (accepted)
  5. MPG.PuRe
    DOI
    pre-print
    publisher-version
    Journal Article
    Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), pp. 5 - 22 (2019)
  6. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 382, pp. 221 - 239 (2019)
  7. MPG.PuRe
    pre-print
    Journal Article
    Benner, P.; Mitchell, T.: Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. SIAM Journal on matrix analysis and applications (accepted)
  8. MPG.PuRe
    DOI
    post-print
    Journal Article
    Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.; Saak, J.: A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience 31 (6), e4462 (2019)
  9. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization 51 (3), pp. 465 - 483 (2019)
  10. MPG.PuRe
    DOI
    Journal Article
    Benner, P.; Trautwein, C.: Optimal Control Problems Constrained by the Stochastic Navier-Stokes Equations with Multiplicative Lévy Noise. Mathematische Nachrichten 292 (7), pp. 1444 - 1461 (2019)
  11. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations (accepted)
  12. MPG.PuRe
    pre-print
    External
    Journal Article
    Benner, P.; Himpe, C.: Cross-Gramian-Based Dominant Subspaces. Advances in Computational Mathematics (accepted)
  13. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions. Applied Mathematical Modelling 69, pp. 287 - 300 (2019)
  14. MPG.PuRe
    DOI
    Journal Article
    Benner, P.; Cao, X.; Schilders, W.: A Bilinear H2 Model Order Reduction Approach to Linear Parameter-Varying Systems. Advances in Computational Mathematics (2019)
  15. MPG.PuRe
    DOI
    Journal Article
    Goyal, P. K.; Redmann, M.: Time-Limited H2-Optimal Model Order Reduction. Applied Mathematics and Computation 355, pp. 184 - 197 (2019)
  16. MPG.PuRe
    DOI
    post-print
    Journal Article
    Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8. Concurrency and Computation: Practice and Experience 31 (6), e4504 (2019)
  17. MPG.PuRe
    DOI
    Journal Article
    Litvinenko, A.; Keyes, D.; Khoromskaia, V.; Khoromskij, B. N.; Matthies, H. G.: Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Computational Methods in Applied Mathematics 19 (1), pp. 101 - 122 (2019)
  18. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms (accepted)
  19. MPG.PuRe
    DOI
    pre-print
    post-print
    Journal Article
    Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control (accepted)
  20. MPG.PuRe
    DOI
    post-print
    Journal Article
    Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control Systems Letters 3 (3), pp. 535 - 540 (2019)
  21. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Saak, J.; Siebelts, D.; Werner, S. W. R.: A Comparison of Second-Order Model Order Reduction Methods for an Artificial Fishtail. at - Automatisierungstechnik 67 (8), pp. 648 - 667 (2019)
  22. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Yue, Y.; Feng, L.; Benner, P.: Reduced-Order Modelling of Parametric Systems via Interpolation of Heterogeneous Surrogates. Advanced Modeling and Simulation in Engineering Sciences 6 (1), 10 (2019)
  23. MPG.PuRe
    DOI
    Journal Article
    Zhou, X.; Li, X.; Liu, F.; Ge, W.; Ma, X.; Tian, Y.; Li, G.; Zhang, J.; Qiu, Y.: The Comprehensive Evaluation Model of Power Supply Capacity for Regional-Oriented Distribution Network. Neural Computing and Applications (accepted)
  24. MPG.PuRe
    Journal Article
    Altmann, R.; Heiland, J.: Regularization and Rothe Discretization of Semi-Explicit Operator DAEs. International Journal of Numerical Analysis and Modeling 15 (3), pp. 452 - 478 (2018)
  25. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Antoulas, A. C.; Benner, P.; Feng, L.: Model Reduction by Iterative Error System Approximation. Mathematical and Computer Modelling of Dynamical Systems 24 (2), pp. 103 - 118 (2018)
  26. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh Movement. Analele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica 26 (2), pp. 11 - 40 (2018)
  27. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Baumann, M.; Benner, P.; Heiland, J.: Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations. SIAM Journal on Scientific Computing 40 (3), pp. A1611 - A1641 (2018)
  28. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Baumann, M.; Astudillo, R.; Qiu, Y.; Ang, E. Y. M.; van , v. G.; Plessix, R.-E.: An MSSS-preconditioned Matrix Equation Approach for the Time-Harmonic Elastic Wave Equation at Multiple Frequencies. Computational Geosciences 22 (1), pp. 43 - 61 (2018)
  29. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Mena, H.: Numerical Solution of the Infinite-Dimensional LQR Problem and the Associated Riccati Differential Equations. Journal of Numerical Mathematics 26 (1), pp. 1 - 20 (2018)
  30. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 39 (2), pp. 983 - 1032 (2018)
  31. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati Equations. Numerische Mathematik 138 (2), pp. 301 - 330 (2018)
  32. MPG.PuRe
    DOI
    post-print
    Journal Article
    Benner, P.; Heiland, J.: Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback. International Journal of Robust and Nonlinear Control 28 (4), pp. 1218 - 1232 (2018)
  33. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Mitchell, T.: Faster and More Accurate Computation of the H∞ Norm via Optimization. SIAM Journal on Scientific Computing 40 (5), pp. A3609 - A3635 (2018)
  34. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Qiu, Y.; Stoll, M.: Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification 6 (2), pp. 965 - 989 (2018)
  35. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: Range-Separated Tensor Format for Many-Particle Modeling. SIAM Journal on Scientific Computing 40 (2), pp. A1034 - A1062 (2018)
  36. MPG.PuRe
    DOI
    post-print
    Journal Article
    Benner, P.; Trautwein, C.: A Linear Quadratic Control Problem for the Stochastic Heat Equation Driven by Q-Wiener Processes. Journal of Mathematical Analysis and Applications 457 (1), pp. 776 - 802 (2018)
  37. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Benner, P.; Lowe, R.; Voigt, M.: L∞-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers. Numerical Algebra, Control and Optimization 8 (1), pp. 119 - 133 (2018)
  38. MPG.PuRe
    DOI
    publisher-version
    External
    Journal Article
    Benner, P.; Himpe, C.; Mitchell, T.: On Reduced Input-Output Dynamic Mode Decomposition. Advances in Computational Mathematics 44 (6), pp. 1751 - 1768 (2018)
  39. MPG.PuRe
    DOI
    Journal Article
    Benner, P.; Faßbender, H.; Yang, C.: Some Remarks on the Complex J-Symmetric Eigenproblem. Linear Algebra and Its Applications 544, pp. 407 - 442 (2018)
  40. MPG.PuRe
    DOI
    post-print
    Journal Article
    Freitag, M. A.; Kürschner, P.; Pestana, J.: GMRES Convergence Bounds for Eigenvalue Problems. Computational Methods in Applied Mathematics 18 (2), pp. 203 - 222 (2018)
  41. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Grushkovskaya, V.; Zuyev, A.; Ebenbauer, C.: On a Class of Generating Vector Fields for the Extremum Seeking Problem: Lie Bracket Approximation and Stability Properties. Automatica 94, pp. 151 - 160 (2018)
  42. MPG.PuRe
    DOI
    publisher-version
    ZIP
    Journal Article
    Himpe, C.; Leibner, T.; Rave, S.: Hierarchical Approximate Proper Orthogonal Decomposition. SIAM Journal on Scientific Computing 40 (5), pp. A3267 - A3292 (2018)
  43. MPG.PuRe
    DOI
    publisher-version
    External
    Journal Article
    Himpe, C.: emgr - The Empirical Gramian Framework. Algorithms 11 (7), 91 (2018)
  44. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Hund, M.; Saak, J.: A Connection between Time Domain Model Order Reduction and Moment Matching for LTI Systems. Mathematical and Computer Modelling of Dynamical Systems 24 (5), pp. 455 - 484 (2018)
  45. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Jongsma, H.-J.; Mlinarić, P.; Grundel, S.; Benner, P.; Trentelman, H. L.: Model Reduction of Linear Multi-Agent Systems by Clustering and with H2- and H∞-Error Bounds. Mathematics of Control, Signals, and Systems 30 (1), 6 (2018)
  46. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Kürschner, P.: Balanced Truncation Model Order Reduction in Limited Time Intervals for Large Systems. Advances in Computational Mathematics 44 (6), pp. 1821 - 1844 (2018)
  47. MPG.PuRe
    DOI
    Journal Article
    Redmann, M.; Benner, P.: Singular Perturbation Approximation for Linear Systems with Lévy Noise. Stochastics and Dynamics 18 (4), 1850033 (2018)
  48. MPG.PuRe
    DOI
    pre-print
    Journal Article
    Redmann, M.; Kürschner, P.: An Output Error Bound for Time-Limited Balanced Truncation. Systems & Control Letters 121, pp. 1 - 6 (2018)
  49. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Stillfjord, T.: Singular Value Decay of Operator-Valued Differential Lyapunov and Riccati Equations. SIAM Journal on Control and Optimization 56 (5), pp. 3598 - 3618 (2018)
  50. MPG.PuRe
    DOI
    publisher-version
    Journal Article
    Yücel, H.; Stoll, M.; Benner, P.: Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations. Electronic Transactions on Numerical Analysis 48, pp. 407 - 434 (2018)
 
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