Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forwarding techniques for the global stabilization of dissipative
  infinite-dimensional systems coupled with an ODE   This paper deals with the stabilization of a coupled system composed by an
infinite-dimensional system and an ODE. Moreover, the control, which appears in
the dynamics of the ODE, is subject to a general class of nonlinearities. Such
a situation may arise, for instance, when the actuator admits a dynamics. The
open-loop ODE is exponentially stable and the open-loop infinite-dimensional
system is dissipative, i.e., the energy is nonincreasing, but its equilibrium
point is not necessarily attractive. The feedback design is based on an
extension of a finite-dimensional method, namely the forwarding method. We
propose some sufficient conditions that imply the well-posedness and the global
asymptotic stability of the closed-loop system. As illustration, we apply these
results to a transport equation coupled with an ODE.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph