Globalizing manifold-based reduced models for equations and data by Bálint Kaszás, George Haller

“…Abstract One of the very few mathematically rigorous nonlinear model reduction methods is the restriction of a dynamical system to a low-dimensional, sufficiently smooth, attracting invariant manifold. …”
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Reduced Order Modeling for Direct Time-Response Analysis Using the Enhanced Craig–Bampton Method by Seung-Hwan Boo, Cheolgyu Hyun, San Kim, Chaemin Lee

“…The increasing demand for dynamic analysis of large-scale structural systems has highlighted the need for efficient model reduction methods. Reduced order modeling allows large finite element models to be represented with significantly fewer degrees of freedom while retaining essential dynamic characteristics. …”
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Transfer learning nonlinear plasma dynamic transitions in low dimensional embeddings via deep neural networks by Zhe Bai, Xishuo Wei, William Tang, Leonid Oliker, Zhihong Lin, Samuel Williams

“…Development of novel, data-driven model reduction methods, coupled with detection of abnormal modes with plasma physics, opens a unique opportunity to identify plasma instabilities through automated construction of parsimonious models that can be tuned to balance accuracy and cost. …”
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Intelligent Vibration Control for High-Speed Spinning Beam Based on Fuzzy Self-Tuning PID Controller by Lanwei Zhou, Guoping Chen

“…The results show that the reduced-order model derived from the internal balance model reduction method is a good approximation of the original system. …”
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Active Vibration Control of Plate Partly Treated with ACLD Using Hybrid Control by Dongdong Zhang, Ling Zheng

“…A model reduction is completed by using iterative dynamic condensation and balance model reduction method to design an effective control system. …”
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Empirical Reduced-Order Modeling for Boundary Feedback Flow Control by Seddik M. Djouadi, R. Chris Camphouse, James H. Myatt

“…Projections on the POD basis give a nonlinear Galerkin model. Then, a model reduction method based on empirical balanced truncation is developed and applied to the Galerkin model. …”
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Optimized Controller Design Using Hybrid Real-Time Model Identification with LSTM-Based Adaptive Control by Yeon-Jeong Park, Joon-Ho Cho

“…Most of the processes with various dynamic characteristics can be reduced to the Second Order Plus Time Delay (SOPTD) model by using the model reduction method. We propose a novel hybrid approach that combines Long Short-Term Memory (LSTM)-based real-time model identification with Genetic Algorithms to enhance the Smith predictor control structure. …”
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Approximate Inertial Manifold-Based Model Reduction and Vibration Suppression for Rigid-Flexible Mechanical Arms by Lisha Xu, Hua Deng, Chong Lin, Yi Zhang

“…Therefore, a model reduction method of rigid-flexible mechanical arms based on the approximate inertial manifold is put forward. …”
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Impact of Phase Angle Jump on a Doubly Fed Induction Generator under Low-Voltage Ride-Through Based on Transfer Function Decomposition by Peiru Feng, Jiayin Xu, Zhuang Wang, Shenghu Li, Yuming Shen, Xu Gui

“…Secondly, considering its high-order characteristic, a model reduction method for the transfer function of the DFIG using the Schur decomposition is proposed, and the analytical expression of the output variables of the DFIG with the phase angle jump is derived by the inverse Laplace transformation to judge the necessity of the LVRT measures. …”
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