Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reaching a Consensus in Networks of High-Order Integral Agents under
  Switching Directed Topology   Consensus problem of high-order integral multi-agent systems under switching
directed topology is considered in this study. Depending on whether the agent's
full state is available or not, two distributed protocols are proposed to
ensure that states of all agents can be convergent to a same stationary value.
In the proposed protocols, the gain vector associated with the agent's
(estimated) state and the gain vector associated with the relative (estimated)
states between agents are designed in a sophisticated way. By this particular
design, the high-order integral multi-agent system can be transformed into a
first-order integral multi-agent system. And the convergence of the transformed
first-order integral agent's state indicates the convergence of the original
high-order integral agent's state if and only if all roots of the polynomial,
whose coefficients are the entries of the gain vector associated with the
relative (estimated) states between agents, are in the open left-half complex
plane. Therefore, many analysis techniques in the first-order integral
multi-agent system can be directly borrowed to solve the problems in the
high-order integral multi-agent system. Due to this property, it is proved that
to reach a consensus, the switching directed topology of multi-agent system is
only required to be "uniformly jointly quasi-strongly connected", which seems
the mildest connectivity condition in the literature. In addition, the
consensus problem of discrete-time high-order integral multi-agent systems is
studied. The corresponding consensus protocol and performance analysis are
presented. Finally, three simulation examples are provided to show the
effectiveness of the proposed approach.

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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess