Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-time Consensus Protocols for Multi-dimensional Multi-agent
  Systems   Two finite-time consensus protocols are proposed for multi-dimensional
multi-agent systems, using direction-preserving and component-wise signum
controls respectively. Filippov solutions and non-smooth analysis techniques
are adopted to handle discontinuities. Sufficient and necessary conditions are
provided to guarantee finite-time convergence and boundedness of the solutions.
It turns out that the number of agents which have continuous control law plays
an essential role for finite-time convergence. In addition it is shown that the
unit balls introduced by $\ell_p$ and $\ell_{\infty}$ norms are invariant for
these two protocols respectively.

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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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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: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph