Control and Optimization with DAEs
Vu Hoang Linh
and Volker Mehrmann
Differential Algebraic Equations (DAEs) are mixed systems of
differential and algebraic equations. It has been recognized for some
time now that they have great potential both theoretically and in
applications. DAEs form one of the most elegant and simple ways to
model a physical system because they allow for the creation of
separate models for subcomponents that can then be pasted together via
a network. As a consequence, this concept is used in many modern CAD
systems like SIMULINK, Scicos and DYMOLA although most software
packages cannot fully exploit the full potential of DAE models.
But this nice feature of DAEs for modeling has also a disadvantage, since
it shifts all of the difficulties of a system onto the
analysis and the numerical methods.
For this reason in recent years much effort is been spent to regularize general DAEs and to
derive suitable numerical methods for optimization and control. It is therefore the goal of this
minisymposium to inform about the state of the art in modeling, simulation,
control and optimization of DAEs.