Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-agent consensus with heterogeneous time-varying input and
  communication delays in digraphs   This paper investigates the distributed consensus tracking control problem
for general linear multi-agent systems (MASs) with external disturbances and
heterogeneous time-varying input and communication delays under a directed
communication graph topology, containing a spanning tree. First, for all agents
whose state matrix has no eigenvalues with positive real parts, a
communication-delay-related observer, which is used to construct the
controller, is designed for followers to estimate the leader's state
information. Second, by means of the output regulation theory, the results are
relaxed to the case that only the leader's state matrix eigenvalues have
non-positive real parts and, under these relaxed conditions, the controller is
redesigned. Both cases lead to a closed-loop error system of which the
stability is guaranteed via a Lyapunov-Krasovskii functional with sufficient
conditions in terms of input-delay-dependent linear matrix inequalities (LMIs).
An extended LMI is proposed which, in conjunction with the rest of LMIs,
results in a solution with a larger upper bound on delays than what would be
feasible without it. It is highlighted that the integration of
communication-delay-related observer and input-delay-related LMI to construct a
fully distributed controller (which requires no global information) is scalable
to arbitrarily large networks. The efficacy of the proposed scheme is
demonstrated via illustrative numerical examples.

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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn