Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix-Scaled Consensus   This letter proposes a matrix-scaled consensus algorithm, which generalizes
the scaled consensus algorithm in \cite{Roy2015scaled}. In (scalar) scaled
consensus algorithms, the agents' states do not converge to a common value, but
to different points along a straight line in the state space, which depends on
the scaling factors and the initial states of the agents. {In the matrix-scaled
consensus algorithm, a positive/negative definite matrix weight is assigned to
each agent. Each agent updates its state based on the product of the sum of
relative matrix scaled states and the sign of the matrix weight. Under the
proposed algorithm, each agent asymptotically converges to a final point
differing with a common consensus point by the inverse of its own scaling
matrix. Thus, the final states of the agents are not restricted to a straight
line but can be located at almost any point in the state-space.} Convergence
analysis of matrix-scaled consensus for single and double-integrator agents are
studied in detail. Simulation results are given to support the analysis.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph