Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Open Multi-Agent Systems and Applications to Dynamic
  Consensus   In this technical note we consider a class of multi-agent network systems
that we refer to as Open Multi-Agent Systems (OMAS): in these multi-agent
systems, an indefinite number of agents may join or leave the network at any
time. Focusing on discrete-time evolutions of scalar agents, we provide a novel
theoretical framework to study the dynamical properties of OMAS: specifically,
we propose a suitable notion of stability and derive sufficient conditions to
ensure stability in this sense. These sufficient conditions regard the
arrival/departure of an agent as a disturbance: consistently, they require the
effect of arrivals/departures to be bounded (in a precise sense) and the OMAS
to be contractive in the absence of arrivals/departures. In order to provide an
example of application for this theory, we re-formulate the well-known
Proportional Dynamic Consensus for Open Multi-Agent Systems and we characterize
the stability properties of the resulting Open Proportional Dynamic Consensus
algorithm.

22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc