Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sampled-data reachability analysis using sensitivity and
  mixed-monotonicity   This paper over-approximates the reachable sets of a continuous-time
uncertain system using the sensitivity of its trajectories with respect to
initial conditions and uncertain parameters. We first prove the equivalence
between an existing over-approximation result based on the sign-stability of
the sensitivity matrices and a discrete-time approach relying on a
mixed-monotonicity property. We then present a new over-approximation result
which scales at worst linearly with the state dimension and is applicable to
any continuous-time system with bounded sensitivity. Finally, we provide a
simulation-based approach to estimate these bounds through sampling and
falsification. The results are illustrated with numerical examples on traffic
networks and satellite orbits.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga