Sparsity enabled cluster reduced-order models for control
From MaRDI portal
Publication:1683852
DOI10.1016/j.jcp.2017.09.057zbMath1375.76075arXiv1701.00038OpenAlexW2621497448MaRDI QIDQ1683852
J. Nathan Kutz, Marek Morzyński, Steven L. Brunton, Guillaume Daviller, Eurika Kaiser, Bingni W. Brunton
Publication date: 1 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00038
Related Items
Modern Koopman Theory for Dynamical Systems ⋮ On-the-fly, data-driven reachability analysis and control of unknown systems ⋮ Optimized Sampling for Multiscale Dynamics ⋮ Cluster-based feedback control of turbulent post-stall separated flows
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving semidefinite-quadratic-linear programs using SDPT3
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Compressed sensing and dynamic mode decomposition
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- Algorithms for simultaneous sparse approximation. II: Convex relaxation
- On the eigenfunctions of the Fokker-Planck operator and of its adjoint
- Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Spectral properties of dynamical systems, model reduction and decompositions
- Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Sparse Sensor Placement Optimization for Classification
- Applied and Computational Measurable Dynamics
- Maximum-entropy closure for a Galerkin model of an incompressible periodic wake
- Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
- Applied Koopmanism
- Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements
- Nonlinear model order reduction based on local reduced-order bases
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Dynamic mode decomposition of numerical and experimental data
- Graph Implementations for Nonsmooth Convex Programs
- Discretization of the Frobenius–Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method
- Divergence measures based on the Shannon entropy
- Cluster-based reduced-order modelling of a mixing layer
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
- Spectral analysis of nonlinear flows
- Approximating physical invariant measures of mixing dynamical systems in higher dimensions
- Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
- SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
- Crisis of the chaotic attractor of a climate model: a transfer operator approach
- How well-connected is the surface of the global ocean?
- On fast computation of finite-time coherent sets using radial basis functions
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Information-Theoretic Limits on Sparsity Recovery in the High-Dimensional and Noisy Setting
- Nonlinear Stabilization via Control Lyapunov Measure
- Sparse dynamics for partial differential equations
- Compressed modes for variational problems in mathematics and physics
- On the Compressive Spectral Method
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems
- Stable signal recovery from incomplete and inaccurate measurements
- On Information and Sufficiency
- Compressed sensing
This page was built for publication: Sparsity enabled cluster reduced-order models for control
