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This paper presents a class of linear predictors for nonlinear controlled dynamical systems.
Hamiltonian systems and transformation in Hilbert space
B. Koopman · 1931
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Application de la théorie des équations intégrales linéaires aux systémes d’équations différentielles non linéaires
T. Carleman · 1932
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Dynamical systems of continuous spectra
B. Koopman and J. von Neuman · 1932
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The korteweg–devries equation: A survey of results
R. M. Miura · 1976
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Experimental physical parameter estimation of a thyristor driven DC-motor using the HMF-method
S. Daniel-Berhe and H. Unbehauen · 1998
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System identification
L. Ljung · 1998
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Constrained model predictive control: Stability and optimality
D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. Scokaert · 2000
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Comparison of systems with complex behavior
I. Mezić and A. Banaszuk · 2004
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Spectral properties of dynamical systems, model reduction and decompositions
I. Mezić · 2005
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Model Predictive Control: Theory and Design
J. B. Rawlings and D. Q. Mayne · 2009
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Nonlinear model predictive control
L. Grüne and J. Pannek · 2011
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Applied Koopmanism
M. Budišić, R. Mohr, and I. Mezić · 2012
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qpOASES: A parametric active-set algorithm for quadratic programming
H. J. Ferreau, C. Kirches, A. Potschka, H. G. Bock, and M. Diehl · 2014
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On dynamic mode decomposition: theory and applications
J. H. Tu, C. W. Rowley, D. M. Luchtenburg, S. L. Brunton, and J. N. Kutz · 2014
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A data–driven approximation of the Koopman operator: Extending dynamic mode decomposition
M. O. Williams, I. G. Kevrekidis, and C. W. Rowley · 2015
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Linear identification of nonlinear systems: A lifting technique based on the Koopman operator
A. Mauroy and J. Goncalves · 2016
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Dynamic mode decomposition with control
J. L. Proctor, S. L. Brunton, and J. N. Kutz · 2016
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Generalizing Koopman theory to allow for inputs and control
J. L. Proctor, S. L. Brunton, and J. N. Kutz · 2016
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Koopman operator based observer synthesis for control-affine nonlinear systems
A. Surana · 2016
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Linear observer synthesis for nonlinear systems using Koopman operator framework
A. Surana and A. Banaszuk · 2016
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Extending data-driven Koopman analysis to actuated systems
M. O. Williams, M. S. Hemati, S. T. M. Dawson, I. G. Kevrekidis, and C. W. Rowley · 2016
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A kernel-based approach to data-driven Koopman spectral analysis
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Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control
S. L. Brunton, B. W. Brunton, J. L. Proctor, and J. N. Kutz · 2016
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On the numerical approximation of the Perron-Frobenius and Koopman operator
S. Klus, P. Koltai, and C. Schütte · 2016
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Chaos as an intermittently forced linear system
S. L. Brunton, B. W. Brunton, J. L. Proctor, E. Kaiser, and J. N. Kutz · 2017
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On convergence of Extended dynamic mode decomposition to the Koopman operator
M. Korda and I. Mezić · 2018
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