Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Stability of Uniformly Bounded Nonlinear Switched Systems   We study the asymptotic stability properties of nonlinear switched systems
under the assumption of the existence of a common weak Lyapunov function. We
consider the class of nonchaotic inputs, which generalize the different notions
of inputs with dwell-time, and the class of general ones. For each of them we
provide some sufficient conditions for asymptotic stability in terms of the
geometry of certain sets. The results, which extend those of Balde, Jouan about
linear systems, are illustrated by many examples.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc