Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Response to a Setpoint Change in PID Controlled Time-Delay Feedback
  Systems   The response to a setpoint change in PID controlled feedback systems plays an
important role for the tuning methods. This response may be easily evaluated in
linear systems without delay by solving the related ordinary differential
equations. These equations are also obtained for system with delay, if the
delay exponential term is approximated to a polynomial by one of the Pade
expressions. If this simplification is avoided, one must deal with differential
difference equations. In this paper their explicit solution, obtained with the
method of steps, is presented. Moreover a second order equation is investigated
as example and the complete set of the coefficients formulas is given.

3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom