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Pawan Goyal
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-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
622018
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
472020
Balanced truncation model order reduction for quadratic-bilinear control systems
P Benner, P Goyal
e-prints 1705.00160, arXiv, 2017, 2017
332017
Time-limited H2-optimal model order reduction
P Goyal, M Redmann
Applied Mathematics and Computation 355, 184-197, 2019
26*2019
Interpolation-based model order reduction for polynomial systems
P Benner, P Goyal
SIAM Journal on Scientific Computing 43 (1), A84-A108, 2021
25*2021
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
222017
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
21*2017
Identification of port-Hamiltonian systems from frequency response data
P Benner, P Goyal, P Van Dooren
Systems & Control Letters 143, 104741, 2020
192020
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
152016
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
142017
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
142017
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
102019
Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization
P Goyal, MI Ahmad, P Benner
2015 European Control Conference (ECC), 1177-1182, 2015
92015
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
62021
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
62020
Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs
P Benner, P Goyal, I Pontesduffpereira
IEEE Transactions on Automatic Control, 2021
42021
System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems
PK Goyal
Otto-von-Guericke-Universität Magdeburg, 2018
4*2018
Discovery of nonlinear dynamical systems using a Runge-Kutta inspired dictionary-based sparse regression approach
P Goyal, P Benner
arXiv preprint arXiv:2105.04869, 2021
32021
LQResNet: A deep neural network architecture for learning dynamic processes
P Goyal, P Benner
arXiv preprint arXiv:2103.02249, 2021
32021
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
32021
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