Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type

Björn Augner

doi:10.1007/978-3-030-35898-3

paper

Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type

arXiv:1810.00700 · doi:10.1007/978-3-030-35898-3

Abstract

We consider networks of infinite-dimensional port-Hamiltonian systems $S_{i}$ on one-dimensional spatial domains. These subsystems of port-Hamiltonian type are interconnected via boundary control and observation and are allowed to be of distinct port-Hamiltonian orders $N_{i} \in N$ . Wellposedness and stability results for port-Hamiltonian systems of fixed order $N \in N$ are thereby generalised to networks of such. The abstract theory is applied to some particular model examples.

Submitted to: Control Theory of Infinite-Dimensional System. Workshop on Control Theory of Infinite-Dimensional Systems, Hagen, January 2018. Operator Theory: Advances and Applications. (32 pages, 5 figures)