Differential algebraic equations of Filippov type

Biák, Martin, and Janovská, Drahoslava. "Differential algebraic equations of Filippov type." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 1-16. <http://eudml.org/doc/287799>.

@inProceedings{Biák2015,
abstract = {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.},
author = {Biák, Martin, Janovská, Drahoslava},
booktitle = {Application of Mathematics 2015},
keywords = {Filippov systems; differential algebraic equations (DAEs); Filippov systems with DAEs; soft drink process},
location = {Prague},
pages = {1-16},
publisher = {Institute of Mathematics CAS},
title = {Differential algebraic equations of Filippov type},
url = {http://eudml.org/doc/287799},
year = {2015},
}

TY - CLSWK
AU - Biák, Martin
AU - Janovská, Drahoslava
TI - Differential algebraic equations of Filippov type
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 1
EP - 16
AB - 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.
KW - Filippov systems; differential algebraic equations (DAEs); Filippov systems with DAEs; soft drink process
UR - http://eudml.org/doc/287799
ER -