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Title

Feedback linearization and lattice theory
Authors

Ülle Kotta
Organization: Tallinn University of Technology
Department: Institute of Cybernetics
Maris Tõnsoa
Organization: Tallinn University of Technology
Department: Institute of Cybernetics
Alexey Ye. Shumskyb
Alexey N. Zhirabok
Journal / Anthology

Systems & Control Letters
Year: 2013
Volume: 62
Page range: 248–255
Description

The tools of lattice theory are applied to readdress the static state feedback linearization problem for discrete-time nonlinear control systems. Unlike the earlier results that are based on differential geometry, the new tools are also applicable for nonsmooth systems. In case of analytic systems, close connections are established between the new results and those based on differential one-forms. The Mathematica functions have been developed that implement the algorithms/methods from this paper.
Subject

*Engineering > Control Theory