Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neural Network Based Nonlinear Observers   Nonlinear observers based on the well-known concept of minimum energy
estimation are discussed. The approach relies on an output injection operator
determined by a Hamilton-Jacobi-Bellman equation and is subsequently
approximated by a neural network. A suitable optimization problem allowing to
learn the network parameters is proposed and numerically investigated for
linear and nonlinear oscillators.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
3
The categories of this paper are: physics