Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controller Design for Systems on Manifolds in Euclidean Space   Given a control system on a manifold that is embedded in Euclidean space, it
is sometimes convenient to use a single global coordinate system in the ambient
Euclidean space for controller design rather than to use multiple local charts
on the manifold or coordinate-free tools from differential geometry. In this
paper, we develop a theory about this and apply it to the fully actuated rigid
body system for stabilization and tracking. A noteworthy point in this theory
is that we legitimately modify the system dynamics outside its state-space
manifold before controller design so as to add attractiveness to the manifold
in the resulting dynamics.

35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom