A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system. Super-linearization is used to leverage methods from linear systems theory to design controllers or observers for nonlinear systems. We call a super-linearization balanced if the degrees of the hidden observables do not exceed the ones of the visible observables. We show that systems admitting such super-linearization can be put in a simple canonical form via a linear change of variables.
Near optimal tracking control of a class of nonlinear systems and an experimental comparison
A Closed Form Solution for the Normal Form and Zero Dynamics of a Class of Nonlinear Systems
On the design of persistently exciting inputs for data-driven control of linear and nonlinear systems
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