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A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system.
Hamiltonian systems and transformation in Hilbert space
Bernard O Koopman · 1931
Earlier work this paper cites.
Application de la théorie des équations intégrales linéaires aux systèmes d’équations différentielles non linéaires
Torsten Carleman · 1932
Earlier work this paper cites.
Triangulation of semi-analytic sets
Stanislaw Lojasiewicz · 1964
Earlier work this paper cites.
Volterra series and geometric control theory
Roger W Brockett · 1976
Earlier work this paper cites.
Feedback invariants for nonlinear systems
Roger W Brockett · 1978
Earlier work this paper cites.
On linearization of control systems
B Jacubczyk and W Respondek · 1980
Cited alongside, same era.
On feedback equivalence of nonlinear systems
Alberto Isidori and Arthur J Krener · 1982
Cited alongside, same era.
Nonlinear control systems: an introduction
Alberto Isidori · 1985
Cited alongside, same era.
Nonlinear dynamical systems and Carleman linearization
Krzysztof Kowalski and W-H Steeb · 1991
Cited alongside, same era.
The early days of geometric nonlinear control
Roger W Brockett · 2014
Cited alongside, same era.
Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control
Steven L Brunton, Bingni W Brunton, Joshua L Proctor, and J Nathan Kutz · 2016
Later among the works it cites.
Koopman operator in systems and control
Alexandre Mauroy, Y Susuki, and I Mezić · 2020
Later among the works it cites.
Koopman operators for estimation and control of dynamical systems
Samuel E Otto and Clarence W Rowley · 2021
Later among the works it cites.
Visible and hidden observables in super-linearization
Mohamed-Ali Belabbas · 2022
Closest in time.
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