English

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

Functional Analysis 2020-05-26 v2 Optimization and Control

Abstract

We give a self-contained and streamlined exposition of a generation theorem for C0-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.

Keywords

Cite

@article{arxiv.1611.08867,
  title  = {Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups},
  author = {Sven-Ake Wegner},
  journal= {arXiv preprint arXiv:1611.08867},
  year   = {2020}
}

Comments

19 pages