Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feedback stabilization of a fluttering panel in an inviscid subsonic
  potential flow   Asymptotic-in-time feedback control of a panel interacting with an inviscid,
subsonic flow is considered. The classical model [22] is given by a clamped
nonlinear plate strongly coupled to a convected wave equation on the half
space. In the absence of imposed energy dissipation the plate dynamics converge
to a compact and finite dimensional set [16,17]. With a sufficiently large
velocity feedback control on the structure we show that the full flow-plate
system exhibits strong convergence to the stationary set in the natural energy
topology. In doing so, we demonstrate the existence of an exponential attractor
for the plate dynamics. That the exponential attractor exhibits additional
smoothness is the technical crux of the main result. This property cannot be
taken for granted, as exponential attractors are often compact but not
necessarily smooth (in contrast with global maximal attractors).
  Our result implies that flutter (a periodic or chaotic end behavior) can be
eliminated (in subsonic flows) with sufficient frictional damping in the
structure. While such a result has been proved in the past for regularized
plate models (with rotational inertia terms or thermal considerations
[14,33,38,39]), this is the first treatment which does not incorporate
smoothing effects for the structure.

36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
16
The categories of this paper are: stat