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The control of large-scale cyber-physical systems requires optimal distributed policies relying solely on limited communication with neighboring agents. However, computing stabilizing controllers for nonlinear systems while optimizing…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Muhammad Zakwan , Giancarlo Ferrari-Trecate

Numerical algorithms based on variational and symplectic integrators exhibit special features that make them promising candidates for application to general relativity and other constrained Hamiltonian systems. This paper lays part of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David Brown

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…

Systems and Control · Computer Science 2018-01-23 Joel Ferguson , Alejandro Donaire , Christopher Renton , Richard H. Middleton

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

In this paper, we present a model-based frequency controller for microgrids with nonzero line resistances based on a port-Hamiltonian formulation of the microgrid model and real-time dynamic pricing. The controller is applicable for…

Systems and Control · Electrical Eng. & Systems 2019-10-09 Lukas Kölsch , Manuel Dupuis , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

In this paper, we consider infinite-dimensional port-Hamiltonian systems with in-domain actuation by means of an approach based on Stokes-Dirac structures as well as in a framework that exploits an underlying jet-bundle structure. In both…

Optimization and Control · Mathematics 2021-07-29 Tobias Malzer , Jesús Toledo , Yann Le Gorrec , Markus Schöberl

In recent years, nonlinear dynamic system identification using artificial neural networks has garnered attention due to its broad potential applications across science and engineering. However, purely data-driven approaches often struggle…

Machine Learning · Computer Science 2025-11-06 Fabian J. Roth , Dominik K. Klein , Maximilian Kannapinn , Jan Peters , Oliver Weeger

Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interconnections are constructed by geometric objects called Dirac…

Optimization and Control · Mathematics 2023-08-21 Karim Cherifi , Hannes Gernandt , Dorothea Hinsen , Volker Mehrmann

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…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Manuel Schaller , Amelie Zeller , Michael Böhm , Oliver Sawodny , Cristina Tarín , Karl Worthmann

Hydrogen's growing role in the transition towards climate-neutral energy systems necessitates structured modeling frameworks. Existing gas network models, largely developed for natural gas, fail to capture hydrogen systems distinct…

Optimization and Control · Mathematics 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

In this paper, five virtual inertia control structures are implemented and tested on a variable speed hydropower (VSHP) plant. The results show that all five can deliver fast power reserves to maintain grid stability after disturbances…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Tor Inge Reigstad , Kjetil Uhlen

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…

Systems and Control · Computer Science 2018-03-22 Rodolfo Reyes-Báez , Alejandro Donaire , Arjan van der Schaft , Bayu Jayawardhana , Tristan Perez

We present a structure-preserving discretization of the hybrid magnetohydrodynamics (MHD)-driftkinetic system for simulations of low-frequency wave-particle interactions. The model equations are derived from a variational principle,…

Computational Physics · Physics 2025-10-09 Byung Kyu Na , Stefan Possanner , Xin Wang

In this paper, we examine the shifted passivity property of port-Hamiltonian systems. Shifted passivity accounts for the fact that in many applications the desired steady-state values of the input and output variables are nonzero, and thus…

Systems and Control · Computer Science 2017-11-27 Nima Monshizadeh , Pooya Monshizadeh , Romeo Ortega , Arjan van der Schaft

The modeling framework of port-Hamiltonian descriptor systems and their use in numerical simulation and control are discussed. The structure is ideal for automated network-based modeling since it is invariant under power-conserving…

Dynamical Systems · Mathematics 2022-01-19 Volker Mehrmann , Benjamin Unger

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

This work is devoted to an impedance grasping strategy for a class of standard mechanical systems in the port-Hamiltonian framework. We embed a variable rest-length of the springs of the existing impedance grasping strategy in order to…

Robotics · Computer Science 2020-08-06 Mauricio Munoz-Arias , Jacquelien Scherpen , Alessandro Macchelli

This paper reports a development in the proper symplectic decomposition (PSD) for model reduction of forced Hamiltonian systems. As an analogy to the proper orthogonal decomposition (POD), PSD is designed to build a symplectic subspace to…

Numerical Analysis · Mathematics 2016-03-14 Liqian Peng , Kamran Mohseni

Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for fixed points of linear Hamiltonian systems. The…

Numerical Analysis · Mathematics 2008-02-18 Xiaohua Ding , Hongyu Liu , Zaijiu Shang , Geng Sun , Lingshu Wang

This work proposes a structure-preserving model reduction method for marginally stable linear time-invariant (LTI) systems. In contrast to Lyapunov-stability-based approaches---which ensure the poles of the reduced system remain in the open…

Dynamical Systems · Mathematics 2017-04-24 Liqian Peng , Kevin Carlberg