Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State-dependent Riccati equation feedback stabilization for nonlinear
  PDEs   The synthesis of suboptimal feedback laws for controlling nonlinear dynamics
arising from semi-discretized PDEs is studied. An approach based on the
State-dependent Riccati Equation (SDRE) is presented for H2 and Hinf control
problems. Depending on the nonlinearity and the dimension of the resulting
problem, offline, online, and hybrid offline-online alternatives to the SDRE
synthesis are proposed. The hybrid offline-online SDRE method reduces to the
sequential solution of Lyapunov equations, effectively enabling the computation
of suboptimal feedback controls for two-dimensional PDEs. Numerical tests for
the Sine-Gordon, degenerate Zeldovich, and viscous Burgers' PDEs are presented,
providing a thorough experimental assessment of the proposed methodology.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con