English
Related papers

Related papers: Passivity encoding representations of nonlinear sy…

200 papers

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

Optimization and Control · Mathematics 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

In this paper, we develop high-order splitting methods for linear port-Hamiltonian systems, focusing on preserving their intrinsic structure, particularly the dissipation inequality. Port-Hamiltonian systems are characterized by their…

Mathematical Physics · Physics 2024-09-16 Marius Mönch , Nicole Marheineke

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

Dynamical Systems · Mathematics 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan

Passivity-based control (PBC) for port-Hamiltonian systems provides an intuitive way of achieving stabilization by rendering a system passive with respect to a desired storage function. However, in most instances the control law is obtained…

Systems and Control · Computer Science 2019-03-29 Olivier Sprangers , Gabriel A. D. Lopes , Robert Babuska

In this paper we introduce a new notion of passivity which we call Krasovskii's passivity and provide a sufficient condition for a system to be Krasovskii's passive. Based on this condition, we investigate classes of port-Hamiltonian and…

Systems and Control · Computer Science 2019-06-25 Krishna Chaitanya Kosaraju , Yu Kawano , Jacquelien M. A. Scherpen

Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven…

Dynamical Systems · Mathematics 2024-08-19 Johannes Rettberg , Jonas Kneifl , Julius Herb , Patrick Buchfink , Jörg Fehr , Bernard Haasdonk

In this work, we detail a procedure to construct a reduced order model on the basis of frequency-domain data, that preserves the non-strictly passive property and the port-Hamiltonian structure. The proposed scheme is based on Benner et al.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Charles Poussot-Vassal , Denis Matignon , Ghilslain Haine , Pierre Vuillemin

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

We consider port-Hamiltonian systems from a geometric perspective, where the quantities involved such as state, flows, and efforts evolve in (possibly infinite-dimensional) Banach spaces. The main contribution of this article is the…

Dynamical Systems · Mathematics 2025-09-09 Timo Reis

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

Analysis of PDEs · Mathematics 2019-05-30 Björn Augner

We investigate the stability of the wave equation with spatial dependent coefficients on a bounded multidimensional domain. The system is stabilized via a scattering passive feedback law. We formulate the wave equation in a port-Hamiltonian…

Functional Analysis · Mathematics 2022-02-18 Birgit Jacob , Nathanael Skrepek

Many dynamical systems -- from robots interacting with their surroundings to large-scale multiphysics systems -- involve a number of interacting subsystems. Toward the objective of learning composite models of such systems from data, we…

Machine Learning · Computer Science 2023-05-16 Cyrus Neary , Ufuk Topcu

We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitivities and the algorithm is tailored such that the structure…

Numerical Analysis · Mathematics 2023-01-06 Michael Günther , Birgit Jacob , Claudia Totzeck

We present a recursive formula for the computation of the static effective Hamiltonian of a system under a fast-oscillating drive. Our analytical result is well-suited to symbolic calculations performed by a computer and can be implemented…

We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. We consider both systems with distributed control and…

Analysis of PDEs · Mathematics 2021-01-15 Jochen Schmid

Irreversible Port Hamiltonian Systems are departure of Port Hamiltonian Systems as they are generated not only by a Hamiltonian function but also by an entropy function and defined with respect to a quasi-Poisson bracket which embeds the…

Dynamical Systems · Mathematics 2023-02-20 Bernhard Maschke , Jonas Kirchhoff

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular…

Functional Analysis · Mathematics 2023-02-03 Bálint Farkas , Birgit Jacob , Timo Reis , Merlin Schmitz

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…

Systems and Control · Computer Science 2018-05-03 Krishna Chaitanya Kosaraju , Venkatesh Chinde , Ramkrishna Pasumarthy , N M Singh

We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial…

Analysis of PDEs · Mathematics 2023-08-04 Birgit Jacob , Hans Zwart

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
‹ Prev 1 3 4 5 6 7 10 Next ›