System theoretical properties of linear port-Hamiltonian systems on infinite-dimensional spaces / vorgelegt von Julia Theresa Kaiser. Wuppertal, Februar 2021
Inhalt
- Introduction
- Preliminaries
- Introduction to port-Hamiltonian systems
- Class of port-Hamiltonian systems
- Generation theorems
- Boundary control and observation port-Hamiltonian systems
- Spectrum of port-Hamiltonian systems withP1H() diagonal
- Exact controllability of port-Hamiltonian systems
- Riesz bases of port-Hamiltonian systems
- Preliminaries of bases
- Discrete Riesz spectral operators
- Discrete Riesz spectral port-Hamiltonian operators
- Proof of the Main Result
- Proof of the equivalence 2)3) of Theorem 5.3.3
- Proof of the implication 2)1) of Theorem 5.3.3
- Proof of the implication 1)2) of Theorem 5.3.3
- Examples
- Closing remarks and open problems
- Generalization of port-Hamiltonian systems
- Port-Hamiltonian systems in the infinite-dimensional setting
- Port-Hamiltonian systems on the semi-axis
- Closing remarks and open problems
- Bibliography
- Acknowledgement