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

被引：7

作者：

Wegner, S. -A. ^{[1
]}

机构：

[1] Univ Wuppertal, Sch Math & Nat Sci, Gaussstr 20, D-42119 Wuppertal, Germany

来源：

ANALYSIS MATHEMATICA | 2017年 / 43卷 / 04期

关键词：

boundary triplet; C-0-semigroup; dissipative extension; port-Hamiltonian system; CONTROL-SYSTEMS; DIFFERENTIAL-OPERATORS; GENERALIZED RESOLVENTS; STABILITY;

D O I：

10.1007/s10476-017-0509-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：657 / 686

页数：30

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