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

Sven-Ake Wegner

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)657-686
Number of pages30
JournalAnalysis Mathematica
Volume43
Issue number4
DOIs
Publication statusPublished - Dec 1 2017

Fingerprint

Strongly Continuous Semigroups
Symmetric Operator
Skew
C0-semigroup
Semigroup Theory
Operator Theory
Stability Theory
Control Theory
Theorem
Hamiltonian Systems
Knowledge

Keywords

  • boundary triplet
  • C-semigroup
  • dissipative extension
  • port-Hamiltonian system

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups. / Wegner, Sven-Ake.

In: Analysis Mathematica, Vol. 43, No. 4, 01.12.2017, p. 657-686.

Research output: Contribution to journalArticle

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