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In this paper, we present finite-dimensional port-Hamiltonian system (PHS) models of a gas pipeline and a network comprising several pipelines for the purpose of control design and stability analysis. Starting from the partial differential…

系统与控制 · 电气工程与系统科学 2023-11-27 Albertus J. Malan , Lukas Rausche , Felix Strehle , Sören Hohmann

The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems are modelled as port-Hamiltonian systems and the inputs are…

数值分析 · 数学 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

In this paper we show that feedback passivation under sampling can be preserved under digital control through the redefinition of a passifying output map which depends on the sampling period. The design is constructive and approximate…

系统与控制 · 电气工程与系统科学 2021-03-19 Mattia Mattioni , Alessio Moreschini , Salvatore Monaco , Dorothée Normand-Cyrot

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular…

泛函分析 · 数学 2023-02-03 Bálint Farkas , Birgit Jacob , Timo Reis , Merlin Schmitz

Port-based network modeling of multi-physics problems leads naturally to a formulation as port-Hamiltonian differential-algebraic system. In this way, the physical properties are directly encoded in the structure of the model. Since the…

最优化与控制 · 数学 2024-12-20 Sarah-Alexa Hauschild , Nicole Marheineke , Volker Mehrmann

This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the…

系统与控制 · 计算机科学 2015-03-19 Giacomo Innocenti

In this work we propose a family of trajectory tracking controllers for marine craft in the port-Hamiltonian (pH) framework using virtual differential passivity based control (v-dPBC). Two pH models of marine craft are considered, one in a…

系统与控制 · 计算机科学 2018-03-22 Rodolfo Reyes-Báez , Alejandro Donaire , Arjan van der Schaft , Bayu Jayawardhana , Tristan Perez

We introduce a robust framework for learning various generalized Hamiltonian dynamics from noisy, sparse phase-space data and in an unsupervised manner based on variational Bayesian inference. Although conservative, dissipative, and…

机器学习 · 计算机科学 2025-09-10 Luke McLennan , Yi Wang , Ryan Farell , Minh Nguyen , Chandrajit Bajaj

We discuss the problem of robust representations of stable and passive transfer functions in particular coordinate systems, and focus in particular on the so-called port-Hamiltonian representations. Such representations are typically far…

最优化与控制 · 数学 2018-01-23 Christopher Beattie , Volker Mehrmann , Paul Van Dooren

Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in the development of quantum technologies. We propose an efficient protocol based on the estimation of the time derivatives of few qubit…

In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac…

最优化与控制 · 数学 2012-09-07 A. J. van der Schaft , B. M. Maschke

In this paper, we formulate an optimization-based control-by-interconnection approach to the stabilization problem of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the feedback is defined as an initial part of a…

最优化与控制 · 数学 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

Accurately learning the temporal behavior of dynamical systems requires models with well-chosen learning biases. Recent innovations embed the Hamiltonian and Lagrangian formalisms into neural networks and demonstrate a significant…

机器学习 · 计算机科学 2021-10-04 Shaan Desai , Marios Mattheakis , David Sondak , Pavlos Protopapas , Stephen Roberts

Identifying the nature of interactions in a quantum system is essential in understanding any physical phenomena. Acquiring information on the Hamiltonian can be a tough challenge in many-body systems because it generally requires access to…

量子物理 · 物理学 2009-10-09 Daniel Burgarth , Koji Maruyama

In this paper, we investigate a class of port-Hamiltonian systems with singular vector fields. We show that, under suitable conditions, their interconnection with passive systems ensures convergence to a prescribed non-equilibrium steady…

系统与控制 · 电气工程与系统科学 2026-04-10 Henrik Sandberg , Kamil Hassan , Heng Wu

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

We present a frequency-domain system identification scheme based on barycentric interpolation and weight optimization. The scheme is related to the Adaptive Antoulas-Anderson (AAA) algorithm for model reduction, but uses an adaptive…

系统与控制 · 电气工程与系统科学 2025-10-02 Jared Jonas , Bassam Bamieh

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

偏微分方程分析 · 数学 2019-05-30 Björn Augner

We present a distributed and price-based control approach for frequency regulation in power grids with nonzero line conductances. Both grid and controller are modeled as a port-Hamiltonian system, where the grid model consists of…

系统与控制 · 电气工程与系统科学 2019-09-20 Lukas Kölsch , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

动力系统 · 数学 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka