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The high volatility of renewable energies calls for more energy efficiency. Thus, different physical systems need to be coupled efficiently although they run on various time scales. Here, the port-Hamiltonian (pH) modeling framework comes…

数值分析 · 数学 2024-04-09 Sarah-Alexa Hauschild , Nicole Marheineke

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and integrable systems…

数学物理 · 物理学 2013-03-22 G. Sardanashvily

In this paper a method of controlling nonholonomic systems within the port-Hamiltonian (pH) framework is presented. It is well known that nonholonomic systems can be represented as pH systems without Lagrange multipliers by considering a…

系统与控制 · 计算机科学 2018-01-23 Joel Ferguson , Alejandro Donaire , Christopher Renton , Richard H. Middleton

We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems subject to control and terminal state constraints. To this end, after reducing the problem to an ODE…

最优化与控制 · 数学 2022-02-16 Timm Faulwasser , Bernhard Maschke , Friedrich Philipp , Manuel Schaller , Karl Worthmann

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 derive new passive maps akin to incremental passive maps, for a class of nonlinear systems using dynamic feedback and Krasovskii's method. Further using the passive maps we present a control methodology for stabilization…

系统与控制 · 计算机科学 2018-05-03 Krishna Chaitanya Kosaraju , Venkatesh Chinde , Ramkrishna Pasumarthy , N M Singh

We show that quantum optical systems preserving the total number of excitations admit a simple classification of possible resonant transitions (including effective), which can be classified by analizying the free Hamiltonian and the…

量子物理 · 物理学 2007-05-23 A. B. Klimov , I. Sainz

Reciprocity is a fundamental symmetry property observed across many physical domains, including acoustics, elasticity, electromagnetics, and thermodynamics. In systems and control theory, it provides key insights into the internal structure…

最优化与控制 · 数学 2025-11-11 Brayan M. Shali , Rodolphe Sepulchre

It is a universal phenomenon that the state and input of the continuous stirred tank reactor (CSTR) systems are both disturbed. This paper proposes a (state, input)-disturbed port-Hamiltonian framework that can be used to model and further…

最优化与控制 · 数学 2017-07-07 Yafei Lu , Zhou Fang , Chuanhou Gao

Information on quantum systems can be obtained only when they are open (or opened) in relation to a certain environment. As a matter of fact, realistic open quantum systems appear in very different shape. We sketch the theoretical…

量子物理 · 物理学 2017-09-08 Ingrid Rotter

Port-Hamiltonian systems (pHS) allow for a structure-preserving modeling of dynamical systems. Coupling pHS via linear relations between input and output defines an overall pHS, which is structure preserving. However, in multiphysics…

系统与控制 · 电气工程与系统科学 2024-06-28 Peter Zaspel , Michael Günther

We propose a new interconnection relation for infinite-dimensional port-Hamiltonian systems that enables the coupling of ports with different spatial dimensions by integrating over the the surplus dimensions. To show the practical…

动力系统 · 数学 2023-01-12 Jens Jäschke , Nathanael Skrepek , Matthias Ehrhardt

We discuss structure-preserving time discretization for nonlinear port-Hamiltonian systems with state-dependent mass matrix. Such systems occur, for instance, in the context of structure-preserving nonlinear model order reduction for…

数值分析 · 数学 2023-11-02 Philipp Schulze

In this article we study the possibilities of recovering the structure of port-Hamiltonian systems starting from ``unlabelled'' ordinary differential equations describing mechanical systems. The algorithm we suggest solves the problem in…

计算工程、金融与科学 · 计算机科学 2023-04-26 Vladimir Salnikov , Antoine Falaize , Daria Loziienko

In this paper we introduce discrete gradient methods to discretize irreversible port-Hamiltonian systems showing that the main qualitative properties of the continuous system are preserved using this kind discretizations methods.

数值分析 · 数学 2023-03-15 Alexandre Anahory Simoes , David Martín de Diego , Bernhard Maschke

The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting…

We discuss how introducing an equilibrium frame, in which a given Hamiltonian has balanced loss and gain terms, can reveal PT symmetry hidden in non-Hermitian Hamiltonians of dissipative systems. Passive PT-symmetric Hamiltonians, in which…

We survey some of the main conceptual developments in the study of PT-symmetric and pseudo-Hermitian Hamiltonian operators that have taken place during the past ten years or so. We offer a precise mathematical description of a quantum…

量子物理 · 物理学 2015-05-19 Ali Mostafazadeh

In this work, we conduct a systematic study of Hamiltonian and quasi-Hamiltonian systems within the framework of nondecomposable generalized Poisson geometry. Our focus lies on the interplay between the algebraic structure of…

数学物理 · 物理学 2025-10-10 C. Sardón , X. Zhao

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