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

共 50 条

[21] Notch filters for port-Hamiltonian systems
Dirksz, D. A.
Scherpen, J. M. A.
van der Schaft, A. J.
Steinbuch, M.
2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 238 - 243
[22] Learning port-Hamiltonian Systems—Algorithms
V. Salnikov
A. Falaize
D. Lozienko
Computational Mathematics and Mathematical Physics, 2023, 63 : 126 - 134
[23] Notch Filters for Port-Hamiltonian Systems
Dirksz, D. A.
Scherpen, J. M. A.
van der Schaft, A. J.
Steinbuch, M.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) : 2440 - 2445
[24] Reinforcement Learning for Port-Hamiltonian Systems
Sprangers, Olivier
Babuska, Robert
Nageshrao, Subramanya P.
Lopes, Gabriel A. D.
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (05) : 1003 - 1013
[25] Learnability of Linear Port-Hamiltonian Systems
Ortega, Juan-Pablo
Yin, Daiying
JOURNAL OF MACHINE LEARNING RESEARCH, 2024, 25 : 1 - 56
[26] PORT-HAMILTONIAN STRUCTURE OF INTERACTING PARTICLE SYSTEMS AND ITS MEAN-FIELD LIMIT\ast
Jacob, Birgit
Totzeck, Claudia
MULTISCALE MODELING & SIMULATION, 2024, 22 (04): : 1247 - 1266
[27] Exergetic port-Hamiltonian systems for multibody dynamics
Lohmayer, Markus
Capobianco, Giuseppe
Leyendecker, Sigrid
MULTIBODY SYSTEM DYNAMICS, 2024,
[28] Finite element hybridization of port-Hamiltonian systems
Brugnoli, Andrea
Rashad, Ramy
Zhang, Yi
Stramigioli, Stefano
APPLIED MATHEMATICS AND COMPUTATION, 2025, 498
[29] Bounded stabilisation of stochastic port-Hamiltonian systems
Satoh, Satoshi
Saeki, Masami
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (08) : 1573 - 1582
[30] Port-Hamiltonian systems with energy and power ports
Krhac, Kaja
Maschke, Bernhard
van der Schaft, Arjan
IFAC PAPERSONLINE, 2024, 58 (06): : 280 - 285

← 1 2 3 4 5 →