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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…

Systems and Control · Electrical Eng. & Systems 2019-09-20 Lukas Kölsch , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

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…

Numerical Analysis · Mathematics 2024-04-09 Sarah-Alexa Hauschild , Nicole Marheineke

A consequence of the Second Law of thermodynamics is that no thermodynamic system with a single heat source at constant temperature can convert heat into mechanical work in a recurrent manner. First we note that this is equivalent to…

Optimization and Control · Mathematics 2020-06-30 Arjan van der Schaft , Dimitri Jeltsema

It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with…

Optimization and Control · Mathematics 2025-03-12 Tobias Holicki , Jonas Nicodemus , Paul Schwerdtner , Benjamin Unger

In ${\cal PT}-$symmetric quantum mechanics one of the most characteristic mathematical features of the formalism is the explicit Hamiltonian-dependence of the physical Hilbert space of states ${\cal H}={\cal H}(H)$. Some of the most…

Quantum Physics · Physics 2018-03-20 Miloslav Znojil

Recent experimental progress in controlling open quantum systems enables the pursuit of mixed-state nonequilibrium quantum phases. We investigate whether open quantum systems hosting mixed-state symmetry-protected topological states as…

This paper presents a structure-preserving model reduction approach applicable to large-scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step ensures the retention of port-Hamiltonian structure which, in…

Numerical Analysis · Mathematics 2016-01-05 Saifon Chaturantabut , Chris Beattie , Serkan Gugercin

Real physical systems are dissipative -- a pendulum slows, a circuit loses charge to heat -- and forecasting their dynamics from partial observations is a central challenge in scientific machine learning. We address the \emph{position-only}…

Machine Learning · Computer Science 2026-02-23 Shubham Bhardwaj , Chandrajit Bajaj

We develop a physics-informed learning framework for energy-shaping control of port-Hamiltonian (pH) systems from trajectory data. The proposed approach co-learns a pH system model and an optimal energy-balancing passivity-based controller…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Ankur Kamboj , Biswadip Dey , Vaibhav Srivastava

Port-Hamiltonian systems (PHS) and interconnection and damping assignment passivity-based control (IDA-PBC) have achieved broad success in modelling and stabilisation of physical systems. However, the absence of a dedicated scalar potential…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Jinjun Jia , Yuchen Liao , Kang An , Xun Yan , Tiedong Zhang , Dapeng Jiang

Parallel simulation and control of large-scale robotic systems often rely on partitioned time stepping, yet finite-iteration coupling can inject spurious energy by violating power consistency--even when each subsystem is passive. This…

Robotics · Computer Science 2026-03-18 Qi Wei , Jianfeng Tao , Hongyu Nie , Wangtao Tan

It has recently been established that cluster-like states -- states that are in the same symmetry-protected topological phase as the cluster state -- provide a family of resource states that can be utilized for Measurement-Based Quantum…

Quantum Physics · Physics 2022-08-24 Nathanan Tantivasadakarn , Ashvin Vishwanath

The consequences of discrete particle noise for a system possessing a possibly unstable collective mode are discussed. It is argued that a zonostrophic instability (of homogeneous turbulence to the formation of zonal flows) occurs just…

Plasma Physics · Physics 2017-04-05 D. A. St-Onge , J. A. Krommes

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

Quantum Physics · Physics 2018-12-12 Lars Knipschild , Jochen Gemmer

Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain with full boundary control and without internal damping are studied. This class of systems includes models of beams and waves as well as the transport…

Optimization and Control · Mathematics 2019-05-17 Birgit Jacob , Julia T. Kaiser

A port-Hamiltonian (pH) system formulation is a geometrical notion used to formulate conservation laws for various physical systems. The distributed parameter port-Hamiltonian formulation models infinite dimensional Hamiltonian dynamical…

Analysis of PDEs · Mathematics 2022-12-15 N. Kumar , J. J. W. van der Vegt , H. J. Zwart

Collective many-body dynamics for time-dependent quantum Hamiltonian functions is investigated for a dynamical system that exhibits multiple degrees of freedom, in this case a combined (Paul and Penning) trap. Quantum stability is…

Quantum Physics · Physics 2022-08-19 Bogdan M. Mihalcea

Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) on 1-dimensional spatial domains are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Hector Ramirez , Yann Le Gorrec , Bernhard Maschke

We identify sufficient conditions on the structure of the interaction Hamiltonian between a two-level quantum system and a thermal bath which, without any external drive or coherent measurement, guarantee the generation of steady-state…

Quantum Physics · Physics 2018-08-22 Giacomo Guarnieri , Michal Kolar , Radim Filip

Controlling large-scale cyber-physical systems necessitates optimal distributed policies, relying solely on local real-time data and limited communication with neighboring agents. However, finding optimal controllers remains challenging,…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Muhammad Zakwan , Giancarlo Ferrari-Trecate