RIESZ BASES OF PORT-HAMILTONIAN SYSTEMS\ast

被引：3

作者：

Jacob, Birgit ^{[1
]}

Kaiser, Julia T. ^{[1
]}

Zwart, Hans ^{[2
,3
]}

机构：

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

[2] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands

[3] Tech Univ Eindhoven, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2021年 / 59卷 / 06期

关键词：

Riesz spectral operator; infinite-dimensional linear port-Hamiltonian system; strongly continuous group; BOUNDARY CONTROL-SYSTEMS; EXACT CONTROLLABILITY; BASIS PROPERTY; WELL-POSEDNESS; STABILIZATION; EQUATIONS; FEEDBACK;

D O I：

10.1137/20M1366216

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that the system operator generates a strongly continuous group. Moreover, in this situation the spectrum consists of eigenvalues only, located in a strip parallel to the imaginary axis and they can decomposed into finitely many sets each having a uniform gap.

引用

页码：4646 / 4665

页数：20

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