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Mathematical and Computer Modelling of Dynamical Systems

Methods, Tools and Applications in Engineering and Related Sciences

Volume 22, 2016 - Issue 4: Model Order Reduction

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Tangential interpolation-based eigensystem realization algorithm for MIMO systems

B. KramerDepartment of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA, USACorrespondence[email protected]
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S. GugercinDepartment of Mathematics and Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA, USAView further author information

Pages 282-306 | Received 03 Nov 2015, Accepted 02 Jun 2016, Published online: 22 Jun 2016

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https://doi.org/10.1080/13873954.2016.1198389
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Elnaz Rezaian & Karthik Duraisamy. (2023) Data-Driven Balanced Truncation for Predictive Model Order Reduction of Aeroacoustic Response. AIAA Journal 61:10, pages 4524-4545.
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Gabriele Dessena, Marco Civera, Dmitry I. Ignatyev, James F. Whidborne, Luca Zanotti Fragonara & Bernardino Chiaia. (2023) The Accuracy and Computational Efficiency of the Loewner Framework for the System Identification of Mechanical Systems. Aerospace 10:6, pages 571.
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Gabriele Dessena, Marco Civera, Luca Zanotti Fragonara, Dmitry I. Ignatyev & James F. Whidborne. (2023) A Loewner-Based System Identification and Structural Health Monitoring Approach for Mechanical Systems. Structural Control and Health Monitoring 2023, pages 1-22.
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Manu Krishnan, Serkan Gugercin & Pablo A. Tarazaga. (2023) A wavelet-based dynamic mode decomposition for modeling mechanical systems from partial observations. Mechanical Systems and Signal Processing 187, pages 109919.
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Misha E. Kilmer & Arvind K. Saibaba. (2022) Structured Matrix Approximations via Tensor Decompositions. SIAM Journal on Matrix Analysis and Applications 43:4, pages 1599-1626.
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Elnaz Rezaian, Cheng Huang & Karthik Duraisamy. (2022) Non-intrusive balancing transformation of highly stiff systems with lightly damped impulse response. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380:2229.
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Dirceu Soares Jr & Alberto Luiz Serpa. (2022) An iterative state-space identification method with data correlation for MIMO systems with measurement noise. Journal of the Franklin Institute 359:11, pages 5682-5711.
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Harsh Sharma, Zhu Wang & Boris Kramer. (2022) Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical Hamiltonian systems. Physica D: Nonlinear Phenomena 431, pages 133122.
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Zlatko Drmač & Benjamin Peherstorfer. 2022. Realization and Model Reduction of Dynamical Systems. Realization and Model Reduction of Dynamical Systems 39 57 .

Art J. R. Pelling & Ennes Sarradj. (2021) Efficient Forced Response Computations of Acoustical Systems with a State-Space Approach. Acoustics 3:3, pages 581-594.
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Parikshit Jain, Shane McQuarrie & Boris Kramer. (2021) Performance comparison of data-driven reduced models for a single-injector combustion process. Performance comparison of data-driven reduced models for a single-injector combustion process.

Rachel Minster, Arvind K. Saibaba, Jishnudeep Kar & Aranya Chakrabortty. (2021) Efficient Algorithms for Eigensystem Realization Using Randomized SVD. SIAM Journal on Matrix Analysis and Applications 42:2, pages 1045-1072.
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Mohammad N. Murshed, Moajjem Hossain Chowdhury, Md. Nazmul Islam Shuzan & M. Monir Uddin. 2021. Proceedings of International Joint Conference on Advances in Computational Intelligence. Proceedings of International Joint Conference on Advances in Computational Intelligence 41 54 .

Peter Benner, Pawan Goyal, Boris Kramer, Benjamin Peherstorfer & Karen Willcox. (2020) Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Computer Methods in Applied Mechanics and Engineering 372, pages 113433.
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Soheil Sadeghi Eshkevari, Shamim N. PakzadMartin TakáčThomas J. Matarazzo. (2020) Modal Identification of Bridges Using Mobile Sensors with Sparse Vibration Data. Journal of Engineering Mechanics 146:4.
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Dan Yu & Suman Chakravorty. (2020) A randomized balanced proper orthogonal decomposition technique. Journal of Computational and Applied Mathematics 368, pages 112540.
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R. Halder, M. Damodaran & B. C. Khoo. (2020) Signal Interpolation Augmented Linear Nonintrusive Reduced-Order Model for Aeroelastic Applications. AIAA Journal 58:1, pages 426-444.
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Hongyu Cui, Weiqiang Peng, Xin Xu & Ming Hong. (2019) A damage identification method for a thin plate structure based on PVDF sensors and strain mode. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233:14, pages 4881-4895.
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David Quero, Pierre Vuillemin & Charles Poussot-Vassal. (2019) A Generalized State-Space Aeroservoelastic Model Based on Tangential Interpolation. Aerospace 6:1, pages 9.
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Renee Swischuk, Laura Mainini, Benjamin Peherstorfer & Karen Willcox. (2019) Projection-based model reduction: Formulations for physics-based machine learning. Computers & Fluids 179, pages 704-717.
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Boris Kramer & Alex A. Gorodetsky. (2018) System Identification via CUR-Factored Hankel Approximation. SIAM Journal on Scientific Computing 40:2, pages A848-A866.
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Benjamin Peherstorfer, Serkan Gugercin & Karen Willcox. (2017) Data-Driven Reduced Model Construction with Time-Domain Loewner Models. SIAM Journal on Scientific Computing 39:5, pages A2152-A2178.
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Boris Kramer, Benjamin Peherstorfer & Karen Willcox. (2017) Feedback Control for Systems with Uncertain Parameters Using Online-Adaptive Reduced Models. SIAM Journal on Applied Dynamical Systems 16:3, pages 1563-1586.
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Tangential interpolation-based eigensystem realization algorithm for MIMO systems

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