Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Inner Convex Approximation Algorithm for BMI Optimization and
  Applications in Control   In this work, we propose a new local optimization method to solve a class of
nonconvex semidefinite programming (SDP) problems. The basic idea is to
approximate the feasible set of the nonconvex SDP problem by inner positive
semidefinite convex approximations via a parameterization technique. This leads
to an iterative procedure to search a local optimum of the nonconvex problem.
The convergence of the algorithm is analyzed under mild assumptions.
Applications in static output feedback control are benchmarked and numerical
tests are implemented based on the data from the COMPLeib library.

14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat