-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems P Benner, P Goyal, S Gugercin SIAM Journal on Matrix Analysis and Applications 39 (2), 983-1032, 2018 | 71 | 2018 |
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms P Benner, P Goyal, B Kramer, B Peherstorfer, K Willcox Computer Methods in Applied Mechanics and Engineering 372, 113433, 2020 | 55 | 2020 |
Balanced truncation model order reduction for quadratic-bilinear control systems P Benner, P Goyal e-prints 1705.00160, arXiv, 2017, 2017 | 38 | 2017 |
Interpolation-based model order reduction for polynomial systems P Benner, P Goyal SIAM Journal on Scientific Computing 43 (1), A84-A108, 2021 | 30* | 2021 |
Time-limited H2-optimal model order reduction P Goyal, M Redmann Applied Mathematics and Computation 355, 184-197, 2019 | 26* | 2019 |
Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems MI Ahmad, P Benner, P Goyal, J Heiland ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2017 | 22* | 2017 |
Krylov subspace-based model reduction for a class of bilinear descriptor systems MI Ahmad, P Benner, P Goyal Journal of Computational and Applied Mathematics 315, 303-318, 2017 | 22 | 2017 |
Identification of port-Hamiltonian systems from frequency response data P Benner, P Goyal, P Van Dooren Systems & Control Letters 143, 104741, 2020 | 20 | 2020 |
POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model J Bremer, P Goyal, L Feng, P Benner, K Sundmacher Computers & Chemical Engineering 106, 777-784, 2017 | 16 | 2017 |
Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems P Benner, P Goyal Systems & Control Letters 97, 1-11, 2016 | 15 | 2016 |
Truncated Gramians for bilinear systems and their advantages in model order reduction P Benner, P Goyal, M Redmann Model reduction of parametrized systems, 285-300, 2017 | 14 | 2017 |
Balanced truncation for a special class of bilinear descriptor systems IP Duff, P Goyal, P Benner IEEE Control Systems Letters 3 (3), 535-540, 2019 | 10 | 2019 |
Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization P Goyal, MI Ahmad, P Benner 2015 European Control Conference (ECC), 1177-1182, 2015 | 9 | 2015 |
System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems PK Goyal Otto-von-Guericke-Universität Magdeburg, 2018 | 8* | 2018 |
Learning reduced‐order dynamics for parametrized shallow water equations from data S Yıldız, P Goyal, P Benner, B Karasözen International Journal for Numerical Methods in Fluids 93 (8), 2803-2821, 2021 | 7 | 2021 |
Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach P Goyal, P Benner Proceedings of the Royal Society A 478 (2262), 20210883, 2022 | 6 | 2022 |
Operator inference and physics-informed learning of low-dimensional models for incompressible flows P Benner, P Goyal, J Heiland, IP Duff arXiv preprint arXiv:2010.06701, 2020 | 6 | 2020 |
LQResNet: A deep neural network architecture for learning dynamic processes P Goyal, P Benner arXiv preprint arXiv:2103.02249, 2021 | 5 | 2021 |
Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs P Benner, P Goyal, IP Duff IEEE Transactions on Automatic Control 67 (2), 886-893, 2021 | 4 | 2021 |
Data‐Driven Learning of Reduced‐Order Dynamics for a Parametrized Shallow Water Equation S Yıldız, P Goyal, P Benner, B Karasözen PAMM 20 (S1), e202000360, 2021 | 4 | 2021 |