Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Design of Globally Exponentially Convergent Continuous Observers for
  Velocity Bias and State for Systems on Real Matrix Groups   We propose globally exponentially convergent continuous observers for
invariant kinematic systems on finite-dimensional matrix Lie groups. Such an
observer estimates, from measurements of landmarks, vectors and biased
velocity, both the system state and the unknown constant bias in velocity
measurement, where the state belongs to the state-space Lie group and the
velocity to the Lie algebra of the Lie group. The main technique is to embed a
given system defined on a matrix Lie group into Euclidean space and build
observers in the Euclidean space. The theory is illustrated with the special
Euclidean group in three dimensions.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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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: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol