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

Björn Augner

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

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

Analysis of PDEs 2020-07-14 v2 Dynamical Systems Optimization and Control

Authors: Björn Augner

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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.

Keywords

port-hamiltonian systems infinite-dimensional networks boundary control well-posedness stability interconnection structures

Cite

@article{arxiv.1810.00700,
  title  = {Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type},
  author = {Björn Augner},
  journal= {arXiv preprint arXiv:1810.00700},
  year   = {2020}
}

Comments

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)

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

Abstract

Keywords

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