A2: Analysis, numerical solution and control of delay differential-algebraic equations

Principal investigator*:

Prof. Dr. Volker Mehrmann [1]

Project summary:

Delay differential equations arise in a variety of applications including biological systems and electronic networks. If the states of the physical system are constrained, e.g., by conservation laws or interface conditions, then algebraic equations have to be included and one has to analyze delay differential-algebraic equations. This topic is only in its infancy due to substantial mathematical  difficulties in the analysis, numerical solution and control of such systems. We plan to study the stability properties and develop efficient numerical methods for the simulation, robust control and model reduction of delay differential-algebraic equations.

*from 01.01.2011 - 30.09.2011: Prof. Dr. Volker Mehrmann [2], Dr. Tatjana Stykel [3]