Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Safe Online Learning-based Formation Control of Multi-Agent Systems with
  Gaussian Processes   Formation control algorithms for multi-agent systems have gained much
attention in the recent years due to the increasing amount of mobile and aerial
robotic swarms. The design of safe controllers for these vehicles is a
substantial aspect for an increasing range of application domains. However,
parts of the vehicle's dynamics and external disturbances are often unknown or
very time-consuming to model. To overcome this issue, we present a safe
formation control law for multiagent systems based on double integrator
dynamics by using Gaussian Processes for an online learning of the unknown
dynamics. The presented approach guarantees a bounded error to desired
formations with high probability, where the bound is explicitly given. A
numerical example highlights the effectiveness of the learning-based formation
control law.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex