Publications of Igor Pontes Duff

Benner, P., Goyal, P. K., & Pontes Duff, I. (2024)Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model ReductionInternational Journal for Numerical Methods in Engineering.

Goyal, P. K., Pontes Duff, I., & Benner, P. (2024)Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model ReductionAdvances in Computational Mathematics.

Przybilla, J., Pontes Duff, I., & Benner, P. (2024)Model Reduction for Second-Order Systems with Inhomogeneous Initial ConditionsSystems & Control Letters, 183, 105671doi: 10.1016/j.sysconle.2023.105671.

Przybilla, J., Pontes Duff, I., & Benner, P. (2024)Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis MethodAdvances in Computational Mathematics.

Filanova, Y., Pontes Duff, I., Goyal, P. K., & Benner, P. (2023)An Operator Inference Oriented Approach for Linear Mechanical SystemsMechanical Systems and Signal Processing, 200, 110620doi: 10.1016/j.ymssp.2023.110620.

Redmann, M. & Pontes Duff, I. (2023)Model Order Reduction for Bilinear Systems with Non-Zero Initial States - different Approaches with Error BoundsInternational Journal of Control, 96 (6), 1491–1504doi: 10.1080/00207179.2022.2053209.

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2022)Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible FlowsElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 28–51doi: 10.1553/etna_vol56s28.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2022)Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic OutputsIEEE Transactions on Automatic Control, 67 (2), 886–893doi: 10.1109/TAC.2021.3086319.

Redmann, M. & Pontes Duff, I. (2022)Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear SystemsApplied Mathematics and Computation, 420, 126561doi: 10.1016/j.amc.2021.126561.

Cao, X., Benner, P., Pontes Duff, I., & Schilders, W. (2021)Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial ConditionsInternational Journal of Control, 94 (10), 2886–2895doi: 10.1080/00207179.2020.1740945.

Pontes Duff, I. & Kürschner, P. (2021)Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time SystemsLinear Algebra and its Applications, 623, 367–397doi: 10.1016/j.laa.2020.09.029.

Pontes Duff, I., Grundel, S., & Benner, P. (2020)New Gramians for Linear Switched Systems: Reachability, Observability, and Model ReductionIEEE Transactions on Automatic Control, 65 (6), 2526–2535doi: 10.1109/TAC.2019.2934020.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2019)Balanced Truncation for a Special Class of Bilinear Descriptor SystemsIEEE Control Systems Letters, 3 (3), 535–540doi: 10.1109/LCSYS.2019.2911904.

Pontes Duff, I., Goyal, P. K., & Benner, P. (2022)Data-Driven Identification of Rayleigh-Damped Second-Order SystemsRealization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas255–272Cham: Springer International Publishingdoi: 10.1007/978-3-030-95157-3_14.

Gosea, I. V. & Pontes Duff, I. (2021)Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode DecompositionModel Reduction of Complex Dynamical Systems53–74Cham, Switzerland: Birkhäuserdoi: 10.1007/978-3-030-72983-7_3.

Gosea, I. V., Pontes Duff, I., Benner, P., & Antoulas, A. C. (2020)Model Order Reduction of Switched Linear Systems with Constrained SwitchingIUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 201841–53doi: 10.1007/978-3-030-21013-7_3.

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2023)A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical SystemsIn: Proceedings in Applied Mathematics and Mechanics, e202200049doi: 10.1002/pamm.202200049.

Gosea, I. V. & Pontes Duff, I. (2022)An iterative realization-free approach for model reduction of bilinear systems via Hermitian interpolationIn: 2022 European Control Conference, 584–589doi: 10.23919/ECC55457.2022.9838095.

Gosea, I. V., Pontes Duff, I., Benner, P., & Antoulas, A. C. (2019)Model Order Reduction of Bilinear Time-Delay SystemsIn: 18th European Control Conference (ECC), 2289–2294doi: 10.23919/ECC.2019.8796085.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2020)Balanced Truncation for Linear System with Quadratic Output: Theory, Error Bounds and NumericsIn: XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, 327–328.