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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 systems.
Hamiltonian systems and transformation in hilbert space
B. O. Koopman · 1931
Earlier work this paper cites.
The approximation of one matrix by another of lower rank
C. Eckart and G. Young · 1936
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Symmetric gauge functions and unitarily invariant norms
L. Mirsky · 1960
Earlier work this paper cites.
Effective construction of linear state-variable models from input/output data
B. L. Ho and R. E. Kalman · 1965
Earlier work this paper cites.
Singular value decomposition and least squares solutions
G. H. Golub and C. Reinsch · 1970
Earlier work this paper cites.
An eigensystem realization algorithm for modal parameter identification and model reduction
J. N. Juang and R. S. Pappa · 1985
Earlier work this paper cites.
Principal component analysis in linear systems: Controllability, observability, and model reduction
B.C. Moore · 1985
Earlier work this paper cites.
Turbulence and the dynamics of coherent structures, parts I-III
L. Sirovich · 1987
Earlier work this paper cites.
Identification of observer/kalman filter markov parameters: Theory and experiments
J. N. Juang, M. Phan, L. G. Horta, and R. W. Longman · 1991
Earlier work this paper cites.
Infectious Diseases of Humans: Dynamics and Control
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Earlier work this paper cites.
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M. J. Keeling and B. T. Grenfell · 1997
Earlier work this paper cites.
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I. Mezić · 2005
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Model reduction for fluids using balanced proper orthogonal decomposition
C.W. Rowley · 2005
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Compressive sensing
E. J. Candès · 2006
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Modeling Infectious Diseases in Humans and Animals
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C. W. Rowley, I. Mezić, S. Bagheri, P. Schlatter, and D. S. Henningson · 2009
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Dynamic mode decomposition and proper orthogonal decomposition of flow in a lid-driven cylindrical cavity
P. J. Schmid, K. E. Meyer, and O. Pust · 2009
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Application of the dynamic mode decomposition to experimental data
P. J. Schmid · 2011
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Physics based compressive sensing approach applied to airfoil data collection and analysis
Z. Bai, T. Wimalajeewa, Z. Berger, G. Wang, M. Glauser, and P. K. Varshney · 2013
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Compressive sampling dynamic mode decomposition
S. L. Brunton, J. L. Proctor, and J. N. Kutz · 2013
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Minimax risk of matrix denoising by singular value thresholding
D.L. Donoho and M. Gavish · 2013
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The optimal hard threshold for singular values is 4 / 3 4/\sqrt{3}
D.L. Donoho and M. Gavish · 2013
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Design of optimal sparse feedback gains via the alternating direction method of multipliers
Fu Lin, Makan Fardad, and Mihailo R Jovanovic · 2013
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Analysis of fluid flows via spectral properties of the Koopman operator
I. Mezić · 2013
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Balanced model reduction via the proper orthogonal decomposition
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Applied koopmanism a)
Marko Budišić, Ryan Mohr, and Igor Mezić · 2012
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Variants of dynamic mode decomposition: Boundary condition, Koopman, and Fourier analyses
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Analysis of unsteady behaviour in shockwave turbulent boundary layer interaction
M. Grilli, P. J. Schmid, S. Hickel, and N. A. Adams · 2012
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Turbulence, coherent structures, dynamical systems and symmetry
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Decomposition of time-resolved tomographic PIV
P. J. Schmid, D. Violato, and F. Scarano · 2012
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Sparse dynamics for partial differential equations
H. Schaeffer, R. Caflisch, C. D. Hauck, and S. Osher · 2013
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On dynamic mode decomposition: theory and applications
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Design of optimal sparse interconnection graphs for synchronization of oscillator networks
Makan Fardad, Fu Lin, and M Jovanovic · 2014
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Spectral analysis of fluid flows using sub-Nyquist rate PIV data
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