Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory and Applications of Matrix-Weighted Consensus   This paper proposes the matrix-weighted consensus algorithm, which is a
generalization of the consensus algorithm in the literature. Given a networked
dynamical system where the interconnections between agents are weighted by
nonnegative definite matrices instead of nonnegative scalars, consensus and
clustering phenomena naturally exist. We examine algebraic and algebraic graph
conditions for achieving a consensus, and provide an algorithm for finding all
clusters of a given system. Finally, we illustrate two applications of the
proposed consensus algorithm in clustered consensus and in bearing-based
formation control.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph