Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete-Time Nonlinear Systems Identification with Probabilistic Safety
  and Stability Constraints   This paper presents a discrete-time nonlinear system identification method
while satisfying the stability and safety properties of the system with high
probability. An Extreme Learning Machine (ELM) is used with a Gaussian
assumption on the function reconstruction error. A quadratically constrained
quadratic program (QCQP) is developed with probabilistic safety and stability
constraints that are only required to be satisfied at sampled points inside the
invariant region. The proposed method is validated using two simulation
examples: a two degrees-of-freedom (DoF) robot manipulator with constraints on
joint angles whose trajectories are guaranteed to remain inside a safe set and
on motion trajectories data of a hand-drawn shape.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas