Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New results on the uniform exponential stability of non-autonomous
  perturbed dynamical systems   In this paper, we investigate the asymptotic behaviors of the solutions of
nonlinear dynamic systems nearby an equilibrium point, when the nominal parts
are subject to non necessarily small perturbations. We show that, under some
estimates on the perturbation terms, the equilibrium point remains (globally)
uniformly exponentially stable. The results we obtained can easily be applied
in practice since they are based on the Gronwall-Bellman inequalities rather
than the classical Lyapunov methods that require the knowledge of a Lyapunov
function. Several numerical examples are presented in order to illustrate the
validity of our study, especially when the standard Lyapunov approaches are
useless.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph