| Title:
|
Differential algebraic equations of Filippov type (English) |
| Author:
|
Biák, Martin |
| Author:
|
Janovská, Drahoslava |
| Language:
|
English |
| Journal:
|
Application of Mathematics 2015 |
| Volume:
|
Proceedings. Prague, November 18-21, 2015 |
| Issue:
|
2015 |
| Year:
|
|
| Pages:
|
1-16 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We will study discontinuous dynamical systems of Filippov-type. Mathematically, Filippov-type systems are defined as a set of first-order differential equations with discontinuous right-hand side. These systems arise in various applications, e.g. in control theory (so called relay feedback systems), in chemical engineering (an ideal gas--liquid system), or in biology (predator-prey models). We will show the way how to extend these models by a set of algebraic equations and then study the resulting system of differential-algebraic equations. All MATLAB simulations are performed in modified version of the program developed by Petri T. Piiroinen and Yuri A. Kuznetsov published in ACM Trans. Math. Software, 2008. (English) |
| Keyword:
|
Filippov systems |
| Keyword:
|
differential algebraic equations (DAEs) |
| Keyword:
|
Filippov systems with DAEs |
| Keyword:
|
soft drink process |
| MSC:
|
34C60 |
| MSC:
|
37N30 |
| MSC:
|
65P30 |
| idZBL:
|
Zbl 06669915 |
| . |
| Date available:
|
2017-02-14T10:21:28Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702961 |
| . |
