Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network entropy and data rates required for networked control   We consider the problem of making a set of states invariant for a network of
controlled systems. We assume that the subsystems, initially uncoupled, must be
interconnected through controllers to be designed with a constraint on the data
rate obtained by every subsystem from all the other subsystems. We introduce
the notion of subsystem invariance entropy, which is a measure for the smallest
data rate arriving at a fixed subsystem, above which the overall system is able
to achieve the control goal. Moreover, we associate to a network of n
subsystems a closed convex set of R^n encompassing all possible combinations of
data rates within the network that guarantee the existence of corresponding
feedback strategies for making a given set invariant. The extremal points of
this convex set can be regarded as Pareto-optimal data rates for the control
problem, expressing a trade-off between the data rates required by different
systems. We characterize these quantities for linear systems, and for
synchronization of chaos.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph