Delay differential-algebraic equations (DDAEs) arise in a variety of applications including flow control, biological systems, and power networks. In many of the applications it is advantageous to formulate the DDAEs via a model hierarchy of port-Hamiltonian (pH) DDAE models. We will study existence, uniqueness and sensitivity for such pHDDAEs, in particular those where the interconnection of subsystems is delayed. We will derive vari-ational formulations and study the resulting operator pH DDAEs with respect to space-time discretization and control. In particular we will derive model reduction techniques and methods for the estimation of stability regions for pHDDAEs.
DFG Programme
Collaborative Research Centres
