Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Control for Human-in-the-loop Systems   In this letter, we propose a control framework for human-in-the-loop systems,
in which many human decision makers are involved in the feedback loop composed
of a plant and a controller. The novelty of the framework is that the decision
makers are weakly controlled; in other words, they receive a set of admissible
control actions from the controller and choose one of them in accordance with
their private preferences. For example, the decision makers can decide their
actions to minimize their own costs or by simply relying on their experience
and intuition. A class of controllers which output set-valued signals is
proposed, and it is shown that the overall control system is stable
independently of the decisions made by the humans. Finally, a learning
algorithm is applied to the controller that updates the controller parameters
to reduce the achievable minimal costs for the decision makers. Effective use
of the algorithm is demonstrated in a numerical experiment.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom