Sparse identification of nonlinear dynamics for model predictive control in the low-data limit
type: Item
instance of: scholarly article
title: Sparse identification of nonlinear dynamics for model predictive control in the low-data limit
zbMATH Open document ID: 1425.93175
author: Eurika Kaiser
author: S. L. Brunton
author: J. N. Kutz
published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
publication date: 2019-11-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.05501
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 68T05
zbMATH DE Number: 7132334
zbMATH Keywords: model predictive control
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: sparse identification of nonlineardynamics
zbMATH Keywords: system identification
zbMATH Keywords: control theory
zbMATH Keywords: machine learning
describes a project that uses: SINDy
MaRDI profile type: Publication
OpenAlex ID: W3100769368
Wikidata QID: Q59807745
arXiv ID: 1711.05501
cites work: Q2957673
cites work: Discovering governing equations from data by sparse identification of nonlinear dynamical systems
cites work: Q4859391
cites work: Q4942156
cites work: Model predictive control: Theory and practice - a survey
cites work: Model predictive control: recent developments and future promise
cites work: An eigensystem realization algorithm for modal parameter identification and model reduction
cites work: Volterra series and geometric control theory
cites work: Analytical Foundations of Volterra Series
cites work: Fitting autoregressive models for prediction
cites work: Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains
cites work: A data-driven approximation of the koopman operator: extending dynamic mode decomposition
cites work: Automated reverse engineering of nonlinear dynamical systems
cites work: Constrained sparse Galerkin regression
cites work: Dynamic mode decomposition with control
cites work: A fast nonlinear model identification method
cites work: System Identification Via Sparse Multiple Kernel-Based Regularization Using Sequential Convex Optimization Techniques
cites work: System identification in the presence of outliers and random noises: a compressed sensing approach
cites work: Sparse identification of posynomial models
cites work: A Sparse Bayesian Approach to the Identification of Nonlinear State-Space Systems
cites work: Kernel methods in system identification, machine learning and function estimation: a survey
cites work: Nonlinear total variation based noise removal algorithms
cites work: Numerical differentiation of noisy, nonsmooth data
cites work: Q4864293
cites work: Just relax: convex programming methods for identifying sparse signals in noise
cites work: Identifiability of affine linear parameter-varying models
cites work: Model selection for dynamical systems via sparse regression and information criteria
cites work: Learning partial differential equations via data discovery and sparse optimization
cites work: Spectral analysis of nonlinear flows
cites work: Dynamic mode decomposition of numerical and experimental data
cites work: On dynamic mode decomposition: theory and applications
cites work: Turbulence, Coherent Structures, Dynamical Systems and Symmetry
cites work: The influence of diseases on Lotka-Volterra systems
cites work: Multilayer feedforward networks are universal approximators
cites work: Deterministic Nonperiodic Flow
cites work: Design of nonlinear automatic flight control systems
cites work: Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria
cites work: Mathematical Analysis of HIV-1 Dynamics in Vivo
cites work: A model predictive control based scheduling method for HIV therapy
cites work: Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
cites work: Sparse reduced-order modelling: sensor-based dynamics to full-state estimation
cites work: Q3658782
cites work: Spectral properties of dynamical systems, model reduction and decompositions
cites work: Applied Koopmanism
DOI: 10.1098/RSPA.2018.0335
description: scientific article; zbMATH DE number 7132334