Linear port-Hamiltonian systems on multidimensional spatial domains / vorgelegt von Nathanael Skrepek. Wuppertal, Novenmber 2021
Inhalt
- Symbols
- Introduction
- Important for Cherry Picker
- Preliminaries
- Linear Relations
- Basics
- Adjoint Linear Relations
- Skew-symmetry and Dissipativity on Hilbert Spaces
- Boundary Triples
- Strongly Continuous Semigroups
- Port-Hamiltonian Systems
- Differential Operators
- Port-Hamiltonian Systems
- The Wave Equation as port-Hamiltonian System
- Maxwell's Equations
- Mindlin Plate Model
- Quasi Gelfand Triples
- Motivation
- Definition and Results
- Quasi Gelfand Triple with Hilbert Spaces
- Quasi Gelfand Triples and Boundary Triples
- Boundary Spaces
- Boundary Control and Observation Systems
- Basics
- Port-Hamiltonian System as Boundary Control and Observation System
- Wave Equation
- Maxwell's Equations
- Mindlin Plate Model
- Stabilization of the Wave Equation
- Compact Embedding for `3́9`42`"̇613A``45`47`"603Adiv-`3́9`42`"̇613A``45`47`"603Arot Systems
- Appendix
- Bibliography