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 …

[HTML][HTML] Mental health monitoring with multimodal sensing and machine learning: A survey

E Garcia-Ceja, M Riegler, T Nordgreen… - Pervasive and Mobile …, 2018 - Elsevier
Personal and ubiquitous sensing technologies such as smartphones have allowed the
continuous collection of data in an unobtrusive manner. Machine learning methods have …

[图书][B] Dynamic mode decomposition: data-driven modeling of complex systems

The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …

Bridging direct and indirect data-driven control formulations via regularizations and relaxations

F Dörfler, J Coulson, I Markovsky - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we discuss connections between sequential system identification and control
for linear time-invariant systems, often termed indirect data-driven control, as well as a …

Dynamic mode decomposition with control

JL Proctor, SL Brunton, JN Kutz - SIAM Journal on Applied Dynamical Systems, 2016 - SIAM
We develop a new method which extends dynamic mode decomposition (DMD) to
incorporate the effect of control to extract low-order models from high-dimensional, complex …

Machine learning‐based predictive control of nonlinear processes. Part I: theory

Z Wu, A Tran, D Rincon, PD Christofides - AIChE Journal, 2019 - Wiley Online Library
This article focuses on the design of model predictive control (MPC) systems for nonlinear
processes that utilize an ensemble of recurrent neural network (RNN) models to predict …

[图书][B] Principles of system identification: theory and practice

AK Tangirala - 2018 - taylorfrancis.com
Master Techniques and Successfully Build Models Using a Single Resource Vital to all data-
driven or measurement-based process operations, system identification is an interface that …

Non-asymptotic identification of lti systems from a single trajectory

S Oymak, N Ozay - 2019 American control conference (ACC), 2019 - ieeexplore.ieee.org
We consider the problem of learning a realization for a linear time-invariant (LTI) dynamical
system from input/output data. Given a single input/output trajectory, we provide finite time …

System identification methods for (operational) modal analysis: review and comparison

E Reynders - Archives of Computational Methods in Engineering, 2012 - Springer
Operational modal analysis deals with the estimation of modal parameters from vibration
data obtained in operational rather than laboratory conditions. This paper extensively …

System identification

L Ljung - Signal analysis and prediction, 1998 - Springer
In this contribution we give an overview and discussion of the basic steps of System
Identification. The four main ingredients of the process that takes us from observed data to a …