Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neural Network Optimal Feedback Control with Guaranteed Local Stability   Recent research shows that deep learning can be an effective tool for
designing optimal feedback controllers for high-dimensional nonlinear dynamic
systems. But the behavior of these neural network (NN) controllers is still not
well understood. In particular, some NNs with high test accuracy can fail to
even locally stabilize the dynamic system. To address this challenge we propose
several novel NN architectures, which we show guarantee local stability while
retaining the semi-global approximation capacity to learn the optimal feedback
policy. The proposed architectures are compared against standard NN feedback
controllers through numerical simulations of two high-dimensional nonlinear
optimal control problems (OCPs): stabilization of an unstable Burgers-type
partial differential equation (PDE), and altitude and course tracking for a six
degree-of-freedom (6DoF) unmanned aerial vehicle (UAV). The simulations
demonstrate that standard NNs can fail to stabilize the dynamics even when
trained well, while the proposed architectures are always at least locally
stable. Moreover, the proposed controllers are found to be near-optimal in
testing.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph