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We suggest a global perspective on dynamic network flow problems that takes advantage of the similarities to port-Hamiltonian dynamics. Dynamic minimum cost flow problems are formulated as open-loop optimal control problems for general…

Optimization and Control · Mathematics 2023-09-06 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

Controllability and observability energy functions play a fundamental role in model order reduction and are inherently connected to optimal control problems. For linear dynamical systems the energy functions are known to be quadratic…

Dynamical Systems · Mathematics 2025-02-11 Linus Balicki , Serkan Gugercin

This paper presents a new concept of controlled dissipativity as an extension of the standard dissipativity property to systems with parameter-varying storage functions under the framework of economic model predictive control (EMPC). Based…

Optimization and Control · Mathematics 2023-02-22 Zihang Dong , David Angeli , Goran Strbac

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

We study port-Hamiltonian systems with energy functions that split into local storage terms. From the interconnection and dissipation structure, we construct a graph on the energy compartments. From this graph, we show that the…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Chi Ho Leung , Philip E. Paré

We present the reaction-coordinate polaron-transform (RCPT) framework for generating effective Hamiltonian models to treat nonequilibrium open quantum systems at strong coupling with their surroundings. Our approach, which is based on two…

Quantum Physics · Physics 2022-11-11 Nicholas Anto-Sztrikacs , Ahsan Nazir , Dvira Segal

This paper proposes a passivity-based port-Hamiltonian (pH) framework for multi-agent displacement-based and rigid formation control and velocity tracking. The control law consists of two parts, where the internal feedback is to track the…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Ningbo Li , Zhiyong Sun , Arjan van der Schaft , Jacquelien M. A. Scherpen

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

Couplings of a system to other degrees of freedom (that is, environmental degrees of freedom) lead to energy dissipation when the number of environmental degrees of freedom is large enough. Here we discuss quantal treatments for such energy…

Nuclear Theory · Physics 2019-11-20 M. Tokieda , K. Hagino

With the goal of moving towards implementation of increasingly dynamic behaviors on underactuated systems, this paper presents an optimization-based approach for solving full-body dynamics based controllers on underactuated bipedal robots.…

Robotics · Computer Science 2020-04-03 Jenna Reher , Claudia Kann , Aaron D. Ames

Total energy shaping through interconnection and damping assignment passivity-based control (IDA-PBC) provides a powerful and systematic framework for stabilizing underactuated mechanical systems. Despite its theoretical appeal,…

Systems and Control · Electrical Eng. & Systems 2026-02-03 M. Reza J. Harandi , Mehrzad Namvar

This Technical Note presents a simple control approach for global trajectory tracking and formation control of underactuated surface vessels equipped with only two propellers. The control approach exploits the inherent cascaded structure of…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Bo Wang , Antonio Loria

A full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for…

Quantum Gases · Physics 2016-05-23 Ronen Kroeze , Jom Luiten , Servaas Kokkelmans

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomenon towards certain subspaces induced by the dissipation of…

Optimization and Control · Mathematics 2021-05-11 Friedrich Philipp , Manuel Schaller , Timm Faulwasser , Bernhard Maschke , Karl Worthmann

The paper proposes a novel Economic Model Predictive Control (EMPC) scheme for Autonomous Surface Vehicles (ASVs) to simultaneously address path following accuracy and energy constraints under environmental disturbances. By formulating…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Zhongqi Deng , Yuan Wang , Jian Huang , Hui Zhang , Yaonan Wang

The problem of modeling and control of multi-terminal high-voltage direct-current transmission systems is addressed in this paper, which contains five main contributions. First, to propose a unified, physically motivated, modeling framework…

Systems and Control · Computer Science 2016-09-13 Daniele Zonetti , Romeo Ortega , Abdelkrim Benchaib

We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Hamiltonian formalism. We first provide a novel general…

Numerical Analysis · Mathematics 2020-09-30 Andrea Brugnoli , Ghislain Haine , Anass Serhani , Xavier Vasseur

This paper addresses three complex control challenges related to input-saturated systems from a data-driven perspective. Unlike the traditional two-stage process involving system identification and model-based control, the proposed approach…

Optimization and Control · Mathematics 2024-05-14 Federico Porcari , Valentina Breschi , Luca Zaccarian , Simone Formentin

In this work, we investigate the state stabilization and trajectory tracking problems of underactuated surface ships with full state model of having non-diagonal inertia and damping matrices. By combining the novel state transformations,…

Optimization and Control · Mathematics 2011-11-07 Ma Bao-Li