New insights in the geometry and interconnection of port-Hamiltonian systems

被引：4

作者：

Barbero-Linan, M. ^{[1
,3
]}

Cendra, H. ^{[2
]}

Garcia-Torano Andres, E. ^{[2
]}

Martin de Diego, D. ^{[3
]}

机构：

[1] Univ Politecn Madrid, Dept Matemat Aplicada, Av Juan de Herrera 4, E-28040 Madrid, Spain

[2] Univ Nacl Sur, Dept Matemat, CONICET, Av Alem 1253, RA-8000 Babia Blanca, Argentina

[3] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2018年 / 51卷 / 37期

关键词：

Dirac structures; port-Hamiltonian systems; coisotropic structures; CONSERVING PHYSICAL SYSTEMS; DIRAC STRUCTURES; VARIATIONAL INTEGRATORS; LAGRANGIAN MECHANICS; FORMULATION;

D O I：

10.1088/1751-8121/aad4ba

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a new geometric construction of port-Hamiltonian systems. Using this framework, we revisit the notion of interconnection providing it with an intrinsic description. Special emphasis on theoretical and applied examples is given throughout the paper to show the applicability and the novel contributions of the proposed framework.

引用

页数：30

共 50 条

[41] A combined Control by Interconnection-Model Predictive Control design for constrained Port-Hamiltonian systems
Pham, T. H.
Vu, N. M. T.
Prodan, I
Lefevre, L.
SYSTEMS & CONTROL LETTERS, 2022, 167
[42] Stabilization of Discrete Port-Hamiltonian Dynamics via Interconnection and Damping Assignment
Moreschini, Alessio
Mattioni, Mattia
Monaco, Salvatore
Normand-Cyrot, Dorothee
IEEE CONTROL SYSTEMS LETTERS, 2021, 5 (01): : 103 - 108
[43] Interconnection of irreversible port Hamiltonian systems☆
Ramirez, Hector
Le Gorrec, Yann
AUTOMATICA, 2024, 170
[44] Exergetic port-Hamiltonian systems for multibody dynamics
Lohmayer, Markus
Capobianco, Giuseppe
Leyendecker, Sigrid
MULTIBODY SYSTEM DYNAMICS, 2024,
[45] Finite element hybridization of port-Hamiltonian systems
Brugnoli, Andrea
Rashad, Ramy
Zhang, Yi
Stramigioli, Stefano
APPLIED MATHEMATICS AND COMPUTATION, 2025, 498
[46] Bounded stabilisation of stochastic port-Hamiltonian systems
Satoh, Satoshi
Saeki, Masami
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (08) : 1573 - 1582
[47] Port-Hamiltonian systems with energy and power ports
Krhac, Kaja
Maschke, Bernhard
van der Schaft, Arjan
IFAC PAPERSONLINE, 2024, 58 (06): : 280 - 285
[48] Port-Hamiltonian Systems Theory: An Introductory Overview
van der Schaft, Arjan
Jeltsema, Dimitri
FOUNDATIONS AND TRENDS IN SYSTEMS AND CONTROL, 2014, 1 (2-3): : I - +
[49] Discrete port-Hamiltonian systems: mixed interconnections
Talasila, Viswanath
Clemente-Gallardo, J.
van der Schaft, A. J.
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 5656 - 5661
[50] Learning port-Hamiltonian Systems-Algorithms
Salnikov, V.
Falaize, A.
Lozienko, D.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (01) : 126 - 134

← 1 2 3 4 5 →