Analysis and computation of stability exponents for port-Hamiltonian delay differential-algebraic equations (A02)

• Subject Area: Mathematics
• Term: from 2011 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

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
• Subproject of: SFB 910: Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Volker Mehrmann; Professorin Dr. Tatjana Stykel, until 12/2014