Publications of Igor Pontes Duff

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML (accepted)

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control (2021)

Pontes Duff, I.; Kürschner, P.: Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time Systems. Linear Algebra and its Applications 623, pp. 367 - 397 (2021)

Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control (2020)

Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 65 (6), pp. 2526 - 2535 (2020)

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)

Gosea, I. V.; Pontes Duff, I.: Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition. In: Model Reduction of Complex Dynamical Systems, pp. 53 - 74 (Eds. Benner, P.; Breiten , T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)

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 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer Nature (accepted)

Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Bilinear Time-Delay Systems. In: 18th European Control Conference (ECC), pp. 2289 - 2294. 18th European Control Conference (ECC), Naples, Italy, June 25, 2019 - June 28, 2019. IEEE (2019)

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Balanced Truncation for Linear System with Quadratic Output: Theory, Error Bounds and Numerics. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 327 - 328. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Automatic Generation of Minimal and Reduced Models for Structured Parametric Dynamical Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 199 - 200. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)

Redmann, M.; Pontes Duff, I.: Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear Systems. submitted to the Journal of Differential Equations (2021)

Redmann, M.; Pontes Duff, I.: Model Order Reduction for Bilinear Systems with Non-Zero Initial States - different Approaches with Error Bounds. (2021)

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. (2019)