Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Obstacle Avoidance via Hybrid Feedback   In this paper we present a hybrid feedback approach to solve the navigation
problem of a point mass in the n-dimensional space containing an arbitrary
number of ellipsoidal shape obstacles. The proposed hybrid control algorithm
guarantees both global asymptotic stabilization to a reference and avoidance of
the obstacles. The intuitive idea of the proposed hybrid feedback is to switch
between two modes of control: stabilization and avoidance. The geometric
construction of the flow and jump sets of the proposed hybrid controller,
exploiting hysteresis regions, guarantees Zeno-free switching between the
stabilization and the avoidance modes. Simulation results illustrate the
performance of the proposed hybrid control approach for 2-dimensional and
3-dimensional scenarios.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex