4.8k citations
- University of WashingtonUS11 papers
- Gates FoundationUS3 papers
- Center for Astrophysics Harvard & SmithsonianUS2 papers
- Monash UniversityAU2 papers
- New Mexico State UniversityUS2 papers
- Northwestern UniversityUS2 papers
- University of TorontoCA2 papers
- University of VermontUS2 papers
- American Institute of Aeronautics and AstronauticsUS1 paper
- California Institute of TechnologyUS1 paper
- Case Western Reserve UniversityUS1 paper
- Centre de Recerca MatemàticaES1 paper
Showing 2015 · math.DSShow all
2 papers · 2 filters
math.DS2015★ 638 cited
Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control
Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor +1
In this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace. The Koopman operator…
math.DS2015★ 4.8k cited
Discovering governing equations from data: Sparse identification of nonlinear dynamical systems
Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz
The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraint…