Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Control of $(x,u)$-flat systems by quasi-static feedback of classical
  states   It is well-known that flat systems can be linearized by quasi-static feedback
of generalized states. However, even though it is of considerable practical
relevance for the controller design, the question whether they can also be
linearized by quasi-static feedback of classical states is still open. In the
present paper, we prove that for $(x,u)$-flat systems such a linearizing
feedback always exists, and provide a systematic procedure for its
construction. Since the exact linearization is typically only an intermediate
step in the design of a flatness-based tracking control, we also show how the
tracking error dynamics can be stabilized by feedback of the classical state
instead of a generalized one.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph