In this survey we use an operator theoretic approach to infinite-dimensional systems theory. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems and we will focus on topics such as well-posedness, stability and stabilizability. We combine the abstract operator theoretic approach with the more physical approach based on Hamiltonians. This enables us to derive easy verifiable conditions for well-posedness and stability.
- infinite-dimensional systems theory
- partial differential equation
- port-Hamiltonian system