Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consensus Analysis over Clustered Networks of Multi-Agent Systems under
  External Disturbances   This paper studies a consensus problem of multi-agent systems subjected to
external disturbances over the clustered network. It considers that the agents
are divided into several clusters. They are almost all the time isolated one
from another, which has a directed spanning tree. The goal of agents achieves a
common value. To support interaction between clusters with a minimum exchange
of information, we consider that each cluster has an agent, who can exchange
information to any agents outside of its cluster at some discrete instants of
time. Our main contribution proposes a consensus protocol, which takes into
account the continuous-time communications among agents inside the clusters and
discrete-time communication information across clusters. Accordingly, the
consensus and the robust $\mathcal{H}_{\infty}$ consensus over the clustered
network are respectively analyzed. Thanks to results from matrix theory and
algebraic graph theory, we show that the proposed control protocols can solve
the problems mentioned above. Finally, a numerical example is given to show the
effectiveness of the proposed theoretical results.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat