Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arXiv preprint arXiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Model reduction for flow analysis and control

CW Rowley, STM Dawson - Annual Review of Fluid Mechanics, 2017 - annualreviews.org
Advances in experimental techniques and the ever-increasing fidelity of numerical
simulations have led to an abundance of data describing fluid flows. This review discusses a …

[图书][B] Data-driven science and engineering: Machine learning, dynamical systems, and control

SL Brunton, JN Kutz - 2022 - books.google.com
Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …

Modal analysis of fluid flows: Applications and outlook

K Taira, MS Hemati, SL Brunton, Y Sun, K Duraisamy… - AIAA journal, 2020 - arc.aiaa.org
THE field of fluid mechanics involves a range of rich and vibrant problems with complex
dynamics stemming from instabilities, nonlinearities, and turbulence. The analysis of these …

Active learning of dynamics for data-driven control using Koopman operators

I Abraham, TD Murphey - IEEE Transactions on Robotics, 2019 - ieeexplore.ieee.org
This paper presents an active learning strategy for robotic systems that takes into account
task information, enables fast learning, and allows control to be readily synthesized by …

Robust flow reconstruction from limited measurements via sparse representation

JL Callaham, K Maeda, SL Brunton - Physical Review Fluids, 2019 - APS
In many applications it is important to estimate a fluid flow field from limited and possibly
corrupt measurements. Current methods in flow estimation often use least squares …

Nonlinear model order reduction via lifting transformations and proper orthogonal decomposition

B Kramer, KE Willcox - AIAA Journal, 2019 - arc.aiaa.org
This paper presents a structure-exploiting nonlinear model reduction method for systems
with general nonlinearities. First, the nonlinear model is lifted to a model with more structure …

An artificial neural network framework for reduced order modeling of transient flows

O San, R Maulik, M Ahmed - Communications in Nonlinear Science and …, 2019 - Elsevier
This paper proposes a supervised machine learning framework for the non-intrusive model
order reduction of unsteady fluid flows to provide accurate predictions of non-stationary state …

Learning physics-based reduced-order models for a single-injector combustion process

R Swischuk, B Kramer, C Huang, K Willcox - AIAA Journal, 2020 - arc.aiaa.org
This paper presents a physics-based data-driven method to learn predictive reduced-order
models (ROMs) from high-fidelity simulations and illustrates it in the challenging context of a …

Randomized dynamic mode decomposition

NB Erichson, L Mathelin, JN Kutz, SL Brunton - SIAM Journal on Applied …, 2019 - SIAM
This paper presents a randomized algorithm for computing the near-optimal low-rank
dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to …