English
Related papers

Related papers: Identification of Port-Hamiltonian Systems from Fr…

200 papers

In this paper we present a method for the addition of integral action to non-passive outputs of a class of port-Hamiltonian systems. The proposed integral controller is a dynamic extension, constructed from the open loop system, such that…

Systems and Control · Computer Science 2017-03-24 Joel Ferguson , Alejandro Donaire , Richard H. Middleton

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

The relationships between port-Hamiltonian systems modeling and the notion of monotonicity are explored. The earlier introduced notion of incrementally port-Hamiltonian systems is extended to maximal cyclically monotone relations, together…

Optimization and Control · Mathematics 2022-06-22 M. Kanat Camlibel , Arjan van der Schaft

We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a deflating subspace associated with a selection of spectral…

Numerical Analysis · Mathematics 2023-08-08 Peter Benner , Pawan Goyal , Paul Van Dooren

We examine interpolatory model reduction methods that are well-suited for treating large scale port-Hamiltonian differential-algebraic systems in a way that is able to preserve and indeed, take advantage of the underlying structural…

Numerical Analysis · Mathematics 2021-11-03 Chris A. Beattie , Serkan Gugercin , Volker Mehrmann

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…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Thomas Beckers

We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and over-determined systems and arbitrary differentiable Hamiltonian functions. This structure is associated with a Dirac structure that encloses its…

Optimization and Control · Mathematics 2019-03-26 Volker Mehrmann , Riccardo Morandin

We present a gradient-based identification algorithm to identify the system matrices of a linear port-Hamiltonian system from given input-output time data. Aiming for a direct structure-preserving approach, we employ techniques from optimal…

Optimization and Control · Mathematics 2023-12-22 Michael Günther , Birgit Jacob , Claudia Totzeck

System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic…

Quantum Physics · Physics 2016-05-09 Madalin Guta , Naoki Yamamoto

This paper investigates the problem of data-driven modeling of port-Hamiltonian systems while preserving their intrinsic Hamiltonian structure and stability properties. We propose a novel neural-network-based port-Hamiltonian modeling…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Binh Nguyen , Nam T. Nguyen , Truong X. Nghiem

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

Numerical methods for developing port-Hamiltonian representations of general linear time-invariant systems are studied. The approach extends previous port-Hamiltonian characterizations to include the general non-minimal case and the case…

Optimization and Control · Mathematics 2025-12-16 Christopher Beattie , Volker Mehrmann , Hongguo Xu

Port-Hamiltonian (pH) systems offer a highly structured and energy-based modular framework for control systems. Many pH systems exhibit non-polynomial non-linearities. We consider the problem of immersing such systems into a…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Mohammad Itani , Manuel Schaller , Karl Worthmann , Timm Faulwasser

Port-Hamiltonian system theory is a well-known framework for the control of complex physical systems. The majority of port-Hamiltonian control design methods base on an explicit input-state-output port-Hamiltonian model for the system under…

Systems and Control · Electrical Eng. & Systems 2019-09-09 Martin Pfeifer , Sven Caspart , Silja Pfeiffer , Charles Muller , Stefan Krebs , Soeren Hohmann

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

Data-driven approaches achieve remarkable results for the modeling of complex dynamics based on collected data. However, these models often neglect basic physical principles which determine the behavior of any real-world system. This…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Thomas Beckers , Jacob Seidman , Paris Perdikaris , George J. Pappas

Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for linear, completely causal, scattering passive dynamical systems…

Optimization and Control · Mathematics 2023-10-18 Karim Cherifi , Hannes Gernandt , Dorothea Hinsen , Volker Mehrmann

We develop inductive biases for the machine learning of complex physical systems based on the port-Hamiltonian formalism. To satisfy by construction the principles of thermodynamics in the learned physics (conservation of energy,…

Machine Learning · Computer Science 2023-03-28 Quercus Hernández , Alberto Badías , Francisco Chinesta , Elías Cueto

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…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Peter Zaspel , Michael Günther

We consider infinite dimensional port-Hamiltonian systems. Based on a power balance relation we introduce the port-Hamiltonian system representation where we pay attention to two different scenarios, namely the non-differential operator…

Optimization and Control · Mathematics 2013-08-07 Markus Schöberl , Andreas Siuka