Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regulation of Dynamical Systems to Optimal Solutions of Semidefinite
  Programs: Algorithms and Applications to AC Optimal Power Flow   This paper considers a collection of networked nonlinear dynamical systems,
and addresses the synthesis of feedback controllers that seek optimal operating
points corresponding to the solution of network-wide constrained optimization
problems. Particular emphasis is placed on the solution of semidefinite
programs (SDPs). The design of the feedback controller is grounded on a dual
epsilon-subgradient approach, with the dual iterates utilized to dynamically
update the dynamical-system reference signals. Global convergence is guaranteed
for diminishing stepsize rules, even when the reference inputs are updated at a
faster rate than the dynamical-system settling time. The application of the
proposed framework to the control of power-electronic inverters in AC
distribution systems is discussed. The objective is to bridge the time-scale
separation between real-time inverter control and network-wide optimization.
Optimization objectives assume the form of SDP relaxations of prototypical AC
optimal power flow problems.

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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph