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A generic data-assisted control architecture within the port-Hamiltonian framework is proposed, introducing a physically meaningful observable that links conservative dynamics to all actuation, dissipation, and disturbance channels. A…

系统与控制 · 电气工程与系统科学 2025-09-12 Mostafa Eslami , Maryam Babazadeh

We characterize the well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation. This class includes in particular the Euler-Bernoulli beam equations and more generally 1D linear…

偏微分方程分析 · 数学 2025-07-11 Bouchra Elghazi , Birgit Jacob , Hans Zwart

Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind. This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A…

系统与控制 · 电气工程与系统科学 2023-12-11 Manuel Schaller , Amelie Zeller , Michael Böhm , Oliver Sawodny , Cristina Tarín , Karl Worthmann

We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on…

最优化与控制 · 数学 2024-10-08 Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke

We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization of exponential stability directly in terms of the energy…

最优化与控制 · 数学 2025-12-01 Marco Roschkowski , Hannes Gernandt

Port-Hamiltonian theory is an established way to describe nonlinear physical systems widely used in various fields such as robotics, energy management, and mechanical engineering. This has led to considerable research interest in the…

系统与控制 · 电气工程与系统科学 2023-09-12 Thomas Beckers

A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilization. Given a system on a manifold, we first embed the…

最优化与控制 · 数学 2018-06-19 Dong Eui Chang

This paper considers Hamiltonian identification for a controllable quantum system with non-degenerate transitions and a known initial state. We assume to have at our disposal a single scalar control input and the population measure of only…

量子物理 · 物理学 2013-04-16 Zaki Leghtas , Gabriel Turinici , Herschel Rabitz , Pierre Rouchon

This work is concerned with the exact controllability/observability of abstract cascade hyperbolic systems by a reduced number of controls/observations. We prove that the observation of the last component of the vector state allows to…

最优化与控制 · 数学 2014-01-29 Fatiha Alabau-Boussouira

The present work address the problem of energy shaping for stochastic port-Hamiltonian system. Energy shaping is a powerful technique that allows to systematically find feedback law to shape the Hamiltonian of a controlled system so that,…

概率论 · 数学 2022-02-18 Francesco G. Cordoni , Luca Di Persio , Riccardo Muradore

We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external variables. The new pair of conjugated variables is called…

最优化与控制 · 数学 2024-05-03 Kaja Krhac , Bernhard Maschke , Arjan van der Schaft

Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and…

最优化与控制 · 数学 2024-01-17 Mikael Kurula

We propose a method to continually monitor the energy of a quantum system. We show that by having some previous knowledge of the system's dynamics, but not all of it, one can use the measured energy to determine many other quantities, such…

量子物理 · 物理学 2019-03-29 Gabriel P. Martins , Nadja K. Bernardes , Marcelo F. Santos

We will give general sufficient conditions under which a controller achieves robust regulation for a boundary control and observation system. Utilizing these conditions we construct a minimal order robust controller for an arbitrary order…

最优化与控制 · 数学 2023-03-01 Jukka-Pekka Humaloja , Lassi Paunonen

This paper is devoted to the mathematical modelling of a vibrating orthotropic plate equipped with a laminated piezosensor, under the influence of a lumped force actuation. We employ the Kirchhoff plate theory to derive the corresponding…

最优化与控制 · 数学 2025-02-03 Alexander Zuyev , Francesco Pellicano , Antonio Zippo , Giovanni Iarriccio

Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as…

经典物理 · 物理学 2021-11-01 Markus Lohmayer , Paul Kotyczka , Sigrid Leyendecker

In this paper, we study the Casimir effect in the classical geometry of two parallel conducting plates, separated by a distance $L$, due to the presence of a minimal length $\lambda$ arising from a background independent (polymer)…

高能物理 - 唯象学 · 物理学 2020-02-26 C. A. Escobar , E. Chan-López , A. Martín-Ruiz

World models built on recurrent state space architectures enable efficient latent imagination, yet remain physically unstructured, producing dynamics that violate conservation and dissipative principles. We introduce a unified…

机器学习 · 计算机科学 2026-05-19 Xueyu Luan , Chenwei Shi

In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line Integral Methods (LIMs), previously used for defining…

数值分析 · 数学 2019-10-17 L. Brugnano , J. I. Montijano , L. Rández

In this paper we design discrete port-Hamiltonian systems systematically in two different ways, by applying discrete gradient methods and splitting methods respectively. The discrete port-Hamiltonian systems we get satisfy a discrete notion…

数值分析 · 数学 2017-06-28 Elena Celledoni , Eirik Hoel Høiseth