Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of Cascade Feedback Linearizable Control Systems   In this thesis, we provide new insights into the theory of cascade feedback
linearization of control systems. In particular, we present a new explicit
class of cascade feedback linearizable control systems, as well as a new
obstruction to the existence of a cascade feedback linearization for a given
invariant control system. These theorems are presented in Chapter 4, where
truncated versions of operators from the calculus of variations are introduced
and explored to prove these new results. This connection reveals new geometry
behind cascade feedback linearization and establishes a foundation for future
exciting work on the subject with important consequences for dynamic feedback
linearization.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics