Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leader-Follower Synchronization of a Network of Boundary-Controlled
  Parabolic Equations With In-Domain Coupling   In this letter, we study the leader-synchronization problem for a class of
partial differential equations with boundary control and in-domain coupling. We
describe the problem in an abstract formulation and we specialize it to a
network of parabolic partial differential equations. We consider a setting in
which a subset of the followers is connected to the leader through a boundary
control, while interconnections among the followers are enforced by distributed
in-domain couplings. Sufficient conditions in the form of matrix inequalities
for the selection of the control parameters enforcing exponential
synchronization are given. Numerical simulations illustrate and corroborate the
theoretical findings.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat