This paper presents the new numerical method based on the Taylor series. This method is used to solve a control problem with a simple system. The paper also presents the control problem and the numerical methods used to solve it. It also compares the results obtained by state of the art solvers and the proposed numerical method.

Topics
Real analysis
1.
J.
 
Kunovský
,
Modern Taylor Series Method
(
Faculty of Electrical Engineering and Computer Science, Brno University of Technology
,
Brno
,
1994
) habilitation work.
Google Scholar
 
2.
V.
 
Šátek
,
J.
 
Kunovský
,
F.
 
Kocina
, and
J.
 
Chaloupka
, “
Taylor Series Based Computation and MATLAB ODE Solvers Comparison
,” in
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics, 1
(
American Institute of Physics
,
2013
), pp.
2289
–
2292
, ISBN 978-0-7354-1184-5.
Google Scholar
 
3.
J.
 
Kunovský
,
V.
 
Šátek
,
G.
 
Nečasová
,
P.
 
Veigend
, and
F.
 
Kocina
, “
The Positive Properties of Taylor Series Method
,” in
Proceedings of the 13th International Conference Informatics’ 2015
(
Institute of Electrical and Electronics Engineers
,
2015
), pp.
156
–
160
, ISBN 978-1-4673-9867-1.
Google Scholar
Crossref
Search ADS
 
4.
P.
 
Blaha
 and
P.
 
VavříN
,
Řízení a regulace I
(
Elektronické skriptum VUT
,
2009
).
Google Scholar
 
5.
P. A.
 
Laplante
,
Real-time Systems design and analysis
, 3rd ed. (
IEE
,
2004
).
Google Scholar
Crossref
Search ADS
 
This content is only available via PDF.
© 2018 Author(s).
2018
Author(s)
You do not currently have access to this content.