Publications of Pawan Kumar Goyal

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)

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)

Ahmad, M. I.; Benner, P.; Goyal, P. K.: Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor Systems. Journal of Computational and Applied Mathematics 315, pp. 303 - 318 (2017)

Ahmad, M. I.; Benner, P.; Goyal, P. K.; Heiland, J.: Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 97 (10), pp. 1252 - 1267 (2017)

Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model. Computers & Chemical Engineering 106, pp. 777 - 784 (2017)

Benner, P.; Goyal, P. K.: Multipoint Interpolation of Volterra Series and H₂-Model Reduction for a Family of Bilinear Descriptor Systems. Systems & Control Letters 97, pp. 1 - 11 (2016)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 255 - 272 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (2022)

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical Systems. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Aachen, Germany, August 15, 2022 - August 19, 2022. Proceedings in Applied Mathematics and Mechanics 23 (1), e202200049, (2023)

Goyal, P. K.: System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems. Dissertation, Otto-von-Guericke-Universität, Magdeburg (2018)

Bauer, S.; Benner, P.; Bereau, T.; Blum, V.; Boley, M.; Carbogno, C.; A. Catlow, C. R.; Dehm, G.; Eibl, S.; Ernstorfer, R. et al.; Fekete, Á.; Foppa, L.; Fratzl, P.; Freysoldt, C.; Gault, B.; M. Ghiringhelli, L.; Sajal, K. G.; Gladyshev, A.; Goyal, P. K.; Hattrick-Simpers, J.; Kabalan, L.; Karpov, P.; S. Khorrami, M.; Koch, C.; Kokott, S.; Kosch, T.; Kowalec, I.; Kremer, K.; Leitherer, A.; Li, Y.; Liebscher, C. H.; Logsdail, A. J.; Lu, Z.; Luong, F.; Marek, A.; Merz, F.; R. Mianroodi, J.; Neugebauer, J.; Purcell, T. A. R.; Raabe, D.; Rampp, M.; Rossi, M.; Rost, J.-M.; Saalmann, U.; Saxena, A.; Sbailo, L.; Scheffler, M.; Scheidgen, M.; Schloz, M.; Schmidt, D. F.; Teshuva, S.; Trunschke, A.; Wei, Y.; Weikum, G.; Xian, R. P.; Yao, Y.; Zhao, M.: Roadmap on Data-Centric Materials Science. (2024)

Gosea, I. V.; Peterson, L.; Goyal, P. K.; Bremer, J.; Sundmacher, K.; Benner, P.: Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference. (2024)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. (2024)

Przybilla, J.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation of Descriptor Systems with a Quadratic Output. (2024)

Forootani, A.; Goyal, P. K.; Benner, P.: A Robust SINDy Approach by Combining Neural Networks and an Integral Form. (2023)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Inference of Continuous Linear Systems from Data with Guaranteed Stability. (2023)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. (2023)

Goyal, P. K.; Yildiz, S.; Benner, P.: Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. (2023)

Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)

Yildiz, S.; Goyal, P. K.; Benner, P.: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (2023)

Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)