New algebro-geometric conditions for the linearization by input-output injection. (English) Zbl 0851.93018

Authors’ abstract: The goal of this note is twofold. It unifies and generalizes existing results on input-output injection linearization of nonlinear systems. The problem is solved as a realization problem since it is based on the analysis of the structure of the input-outpout differential equation. The necessary and sufficient conditions are derived from a simplified and constructive procedure. For clarity, the paper is limited to the case of single output systems. Exterior differential systems are extensively used throughout the paper, giving constructive conditions.
Reviewer: G.Conte (Ancona)


93B18 Linearizations
93B15 Realizations from input-output data
93B52 Feedback control
93B27 Geometric methods
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