Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups

摘要

We give a self-contained and streamlined exposition of a generation theorem for C-0-semigroups based on the method of boundary triplets. We apply this theorem to port-Hamiltonian systems where we discuss recent results appearing in stability and control theory. We give detailed proofs and require only a basic knowledge of operator and semigroup theory.