A STRUCTURAL OBSERVATION ON PORT-HAMILTONIAN SYSTEMS

被引：1

作者：

Picard, Rainer H. ^{[1
]}

Trostorff, Sascha ^{[2
]}

Watson, Bruce ^{[3
]}

Waurick, Marcus ^{[4
]}

机构：

[1] Tech Univ Dresden, Dept Math, D-01062 Dresden, Saxony, Germany

[2] CAU Kiel, Math Seminar, D-24118 Kiel, Germany

[3] Univ Witwatersrand, Sch Math, ZA-2000 Johannesburg, South Africa

[4] TU Bergakademie Freiberg, D-09599 Freiberg, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2023年 / 61卷 / 02期

关键词：

port-Hamiltonian systems; m-accretive operators; congruences; BOUNDARY CONTROL-SYSTEMS; WELL-POSEDNESS; OPERATORS;

D O I：

10.1137/21M1441365

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study port-Hamiltonian systems on a family of intervals and characterize all boundary conditions leading to m-accretive realizations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are based on a structural observation that the port-Hamiltonian operator can be transformed to the derivative on a familiy of reference intervals by suitable congruence relations, allowing for studying the simpler case of a transport equation. Moreover, we provide well-posedness results for associated control problems without assuming any additional regularity of the operators involved.

引用

页码：511 / 535

页数：25

共 50 条

[1] On Stochastic port-Hamiltonian Systems with Boundary Control and Observation
Lamoline, F.
Winkin, J. J.
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[2] Stochastic Port-Hamiltonian Systems
Francesco Cordoni
Luca Di Persio
Riccardo Muradore
Journal of Nonlinear Science, 2022, 32
[3] Incrementally port-Hamiltonian systems
Camlibel, M. K.
van der Schaft, A. J.
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 2538 - 2543
[4] PORT-HAMILTONIAN SYSTEMS ON GRAPHS
van der Schaft, A. J.
Maschke, B. M.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (02) : 906 - 937
[5] Memristive port-Hamiltonian Systems
Jeltsema, Dimitri
van der Schaft, Arjan J.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2010, 16 (02) : 75 - 93
[6] Stochastic Port-Hamiltonian Systems
Cordoni, Francesco
Di Persio, Luca
Muradore, Riccardo
JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (06)
[7] Observability for port-Hamiltonian systems
Jacob, Birgit
Zwart, Hans
2021 EUROPEAN CONTROL CONFERENCE (ECC), 2021, : 2052 - 2057
[8] Discrete port-Hamiltonian systems
Talasila, V
Clemente-Gallardo, J
van der Schaft, AJ
SYSTEMS & CONTROL LETTERS, 2006, 55 (06) : 478 - 486
[9] A port-Hamiltonian approach to modeling the structural dynamics of complex systems
Warsewa, Alexander
Boehm, Michael
Sawodny, Oliver
Tarin, Cristina
APPLIED MATHEMATICAL MODELLING, 2021, 89 : 1528 - 1546
[10] On the interconnection of irreversible port-Hamiltonian systems
Ramirez, Hector
Le Gorrec, Yann
IFAC PAPERSONLINE, 2023, 56 (01): : 114 - 119

← 1 2 3 4 5 →