Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computationally efficient optimal control for unstable power system
  models   In this article, the focus is mainly on gaining the optimal control for the
unstable power system models and stabilizing them through the Riccati-based
feedback stabilization process with sparsity-preserving techniques. We are to
find the solution of the Continuous-time Algebraic Riccati Equations (CAREs)
governed from the unstable power system models derived from the Brazilian
Inter-Connected Power System (BIPS) models, which are large-scale sparse
index-1 descriptor systems. We propose the projection-based Rational Krylov
Subspace Method (RKSM) for the iterative computation of the solution of the
CAREs. The novelties of RKSM are sparsity-preserving computations and the
implementation of time-convenient adaptive shift parameters. We modify the
Low-Rank Cholesky-Factor integrated Alternating Direction Implicit (LRCF-ADI)
technique based nested iterative Kleinman-Newton (KN) method to a sparse form
and adjust this to solve the desired CAREs. We compare the results achieved by
the Kleinman-Newton method with that of using the RKSM. The applicability and
adaptability of the proposed techniques are justified numerically with MATLAB
simulations. Transient behaviors of the target models are investigated for
comparative analysis through the tabular and graphical approaches.

7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc