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

Abstract

We consider networks of infinite-dimensional port-Hamiltonian systems ${\mathfrak{S}}_i$ 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 $N_i\in \mathbb{N}$. Wellposedness and stability results for port-Hamiltonian systems of fixed order $N\in \mathbb{N}$ are thereby generalised to networks of such. The abstract theory is applied to some particular model examples.

arXiv commentSubmitted 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)

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