Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From local to global asymptotic stabilizability for weakly contractive
  control systems   A nonlinear control system is said to be weakly contractive in the control if
the flow that it generates is non-expanding (in the sense that the distance
between two trajectories is a non-increasing function of time) for some fixed
Riemannian metric independent of the control. We prove in this paper that for
such systems, local asymptotic stabilizability implies global asymptotic
stabilizability by means of a dynamic state feedback. We link this result and
the so-called Jurdjevic and Quinn approach.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga