Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence Notions for Discrete-Time Stochastic Linear Control Systems   In this paper we propose definitions of equivalence via stochastic
bisimulation and of equivalence of stochastic external behavior for the class
of discrete-time stochastic linear control systems with possibly degenerate
normally distributed disturbances. The first notion is inspired by the notion
of probabilistic bisimulation for probabilistic chains while the second one by
the notion of equivalence of external behavior for (nonstochastic) behavioral
systems. Geometric necessary and sufficient conditions for checking these
notions are derived. Model reduction via Kalman-like decomposition is also
proposed. Connections with stochastic linear realization theory and stochastic
reachability are established.

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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph