Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed coordinated path following using guiding vector fields   It is essential in many applications to impose a scalable coordinated motion
control on a large group of mobile robots, which is efficient in tasks
requiring repetitive execution, such as environmental monitoring. In this
paper, we design a guiding vector field to guide multiple robots to follow
possibly different desired paths while coordinating their motions. The vector
field uses a path parameter as a virtual coordinate that is communicated among
neighboring robots. Then, the virtual coordinate is utilized to control the
relative parametric displacement between robots along the paths. This enables
us to design a saturated control algorithm for a Dubins-car-like model. The
algorithm is distributed, scalable, and applicable for any smooth paths in an
$n$-dimensional configuration space, and global convergence is guaranteed.
Simulations with up to fifty robots and outdoor experiments with fixed-wing
aircraft validate the theoretical results.

6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat