Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotically stable control problems by infinite horizon optimal
  control with negative discounting   In the paper, for the system which possesses both an attractor and a stable
fixed point, we first formulate new stable control problems to find the
asymptotically stable control function which realizes to transit a state moving
around the attractor to the stable fixed point. Then by using the ordinary
differential equation based on the infinite horizon optimal control model with
negative discounts, we give one of answers for the stable control problem in a
two-dimensional case. Furthermore, under some conditions, we verify that the
phase space can be separated to some open connected components depending on the
asymptotic behavior of the orbit starting from the initial point in their
components. This classification of initial points suggests that it is enable to
robustly achieve a stable control. Moreover, we illustrate some numerical
results for the stable control obtained by applying our focused system for the
Bonhoeffer-van der Pol model.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int