Publications

Publications

Journal Article (27)

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. Journal Article
    Himpe, C.; Leibner, T.; Rave, S.: Hierarchical Approximate Proper Orthogonal Decomposition. SIAM Journal on Scientific Computing 40 (5), pp. A3267 - A3292 (2018)
  20. Journal Article
    Himpe, C.: emgr - The Empirical Gramian Framework. Algorithms 11 (7), 91 (2018)
  21. 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)
  22. 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)
  23. 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)
  24. Journal Article
    Redmann, M.; Benner, P.: Singular Perturbation Approximation for Linear Systems with Lévy Noise. Stochastics and Dynamics 18 (4), 1850033 (2018)
  25. Journal Article
    Redmann, M.; Kürschner, P.: An Output Error Bound for Time-Limited Balanced Truncation. Systems & Control Letters 121, pp. 1 - 6 (2018)
  26. 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)
  27. 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)

Book Chapter (4)

  1. Book Chapter
    Banagaaya, N.; Feng, L.; Schoenmaker, W.; Meuris, P.; Gillon, R.; Benner, P.: Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs. In: Scientific Computing in Electrical Engineering, pp. 189 - 202 (Eds. Langer, U.; Amrhein, W.; Zulehner, W.) (2018)
  2. Book Chapter
    Benner, P.; Goyal, P. K.: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations. In: Reduced-Order Modeling for Simulation and Optimization, pp. 1 - 19 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)
  3. Book Chapter
    Benner, P.; Braukmüller, M.; Grundel, S.: A Direct Index 1 DAE Model of Gas Networks. In: Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99 - 119 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)
  4. Book Chapter
    Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition. In: Parallel Computing is Everywhere, Vol. 32, pp. 329 - 338 (Eds. Bassini, S.; Danelutto, M.; Dazzi, P.; Joubert, G. R.; Peters, F.). IOS Press, Amsterdam [et al.] (2018)

Conference Paper (16)

  1. Conference Paper
    Behr, M.; Benner, P.; Heiland, J.: On an Invariance Principle for the Solution Space of the Differential Riccati Equation. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  2. Conference Paper
    Benner, P.; Werner, S. W. R.: Model Reduction of Descriptor Systems with the MORLAB Toolbox. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51 (2), pp. 547 - 552 (2018)
  3. Conference Paper
    Benner, P.; Mitchell, T.; Overton, M. L.: Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. In: 2018 IEEE Conference on Decision and Control (CDC), pp. 3000 - 3005. IEEE Conference on Decision and Control (CDC), Fontainebleau, Miami Beach, FL, USA, December 17, 2018 - December 19, 2018. (2018)
  4. Conference Paper
    Benner, P.; Werner, S. W. R.: Balancing Related Model Reduction with the MORLAB Toolbox. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  5. Conference Paper
    Benner, P.; Marek, A.; Penke, C.: Improving the Performance of Numerical Algorithms for the Bethe-Salpeter Eigenvalue Problem. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  6. Conference Paper
    Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Optimal Sensor Placement based on Model Order Reduction. In: Conference on Thermal Issues in Machine Tools: Proceedings 2018, pp. 355 - 365 (Eds. Ihlenfeldt, S.; Brecher, C.; Putz, M.; Billington, D.). Conference on Thermal Issues in Machine Tools, Dresden, Germany, March 21, 2018 - March 23, 2018. Wissenschaftliche Scripten, Auerbach /Vogtl. (2018)
  7. Conference Paper
    Grushkovskaya, V.; Michalowsky, S.; Zuyev, A.; May, M.; Ebenbauer, C.: A Family of Extremum Seeking Laws for a Unicycle Model with a Moving Target: Theoretical and Experimental Studies. In: 2018 European Control Conference (ECC), pp. 912 - 917. 18th European Control Conference, ECC 2018, Limassol, Cyprus, June 12, 2018 - June 15, 2018. IEEE, Piscataway, NJ, USA (2018)
  8. Conference Paper
    Grushkovskaya, V.; Zuyev, A.: Obstacle Avoidance Problem for Second Degree Nonholonomic Systems. In: 2018 IEEE Conference on Decision and Control (CDC), pp. 1500 - 1505. IEEE Conference on Decision and Control (CDC), Fontainebleau, Miami Beach, FL, USA, December 17, 2018 - December 19, 2018. (2018)
  9. Conference Paper
    Grushkovskaya, V.; Zuyev, A.; Ebenbauer, C.: On Extremum Seeking Controllers Based on the Lie Bracket Approximation in Domains with Obstacles. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  10. Conference Paper
    Hund, M.; Mlinarić, P.; Saak, J.: An H2xL2-Optimal Model Order Reduction Approach for Parametric Linear Time-Invariant Systems. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  11. Conference Paper
    Mlinarić, P.; Ishizaki, T.; Chakrabortty, A.; Grundel, S.; Benner, P.; Imura, J.-i.: Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. In: 2018 European Control Conference (ECC), pp. 2266 - 2271. 18th European Control Conference, ECC 2018 , Limassol, Cyprus, June 12, 2018 - June 15, 2018. Piscataway, NJ, USA, IEEE (2018)
  12. Conference Paper
    Saak, J.; Voigt, M.: Model Reduction of Constrained Mechanical Systems in M-M.E.S.S. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51 (2), pp. 661 - 666 (2018)
  13. Conference Paper
    Weinhandl, R.; Benner, P.; Richter, T.: Linear Low-Rank Parameter-Dependent Fluid-Structure Interaction Discretization in 2D. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
  14. Conference Paper
    Yue, Y.; Feng, L.; Benner, P.: Interpolation of Reduced-Order Models Based on Modal Analysis. In: Proceedings of the 2018 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, pp. 1 - 4. 2018 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, Reykjavik, Ireland, August 08, 2018 - August 10, 2018. (2018)
  15. Conference Paper
    Zuyev, A.; Novikova, J.: Modeling and Stabilization of a Rotating Mechanical System with Elastic Plates. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51 (2), pp. 493 - 498 (2018)
  16. Conference Paper
    Zuyev, A.; Benner, P.: Control Design for a 2x2 Hyperbolic System with Application to Preferential Crystallization. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)

Meeting Abstract (1)

  1. Meeting Abstract
    Himpe, C.; Leibner , T.; Rave, S.: HAPOD - Fast, Simple and Reliable Distributed POD Computation. In MATHMOD 2018 Extended Abstracts, 120, pp. 119. 9th Vienna Conference on Mathematical Modelling, Vienna, Austria, February 21, 2018 - February 23, 2018. (2018)

Thesis - PhD (2)

  1. Thesis - PhD
    Trautwein, C.: Optimal Control Problems Constrained by Stochastic Partial Differential Equations. Dissertation, 179 pp., Otto-von-Guericke-Universität, Magdeburg (2018)
  2. Thesis - PhD
    Goyal, P. K.: System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems. Dissertation, 221 pp., Otto-von-Guericke-Universität, Magdeburg (2018)
 
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