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A geometric formulation for stabilization of systems with one degree of underactuation which fully solves the energy shaping problem for these system is given. The results show that any linearly controllable simple mechanical system with…

Optimization and Control · Mathematics 2010-02-11 Bahman Gharesifard

We discuss how to connect the energy levels of two-particle systems trapped by a harmonic-oscillator force to scattering amplitudes, with nucleon-nucleon scattering phase shifts in uncoupled channels as the application. At the center of the…

Nuclear Theory · Physics 2021-10-13 Chenbo Li , Jiexin Yu , Rui Peng , Songlin Lyu , Bingwei Long

In this paper, we formulate an optimization-based control-by-interconnection approach to the stabilization problem of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the feedback is defined as an initial part of a…

Optimization and Control · Mathematics 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

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

We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to classical MPC formulations, where the optimizer is treated as…

Optimization and Control · Mathematics 2026-05-25 Till Preuster , Hannes Gernandt , Manuel Schaller

We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy supply is intrinsic to the port-Hamiltonian structure, the…

Optimization and Control · Mathematics 2023-11-21 Timm Faulwasser , Jonas Kirchhoff , Volker Mehrmann , Friedrich Philipp , Manuel Schaller , Karl Worthmann

Designing control systems with bounded input is a practical consideration since realizable physical systems are limited by the saturation of actuators. The actuators' saturation degrades the performance of the control system, and in extreme…

Systems and Control · Electrical Eng. & Systems 2021-11-16 M. Reza J. Harandi , Amir Molaei , Hamid D. Taghirad , Jose Guadalupe Romero

This paper addresses the trajectory-tracking problem for discrete-time linear time-invariant systems with bounded parametric uncertainty, subject to hard constraints on system states, control inputs, and input rates. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Bishal Dey , Abhishek Dhar , Sumit kr. Pandey , Anindita Sengupta

Feedback controllers for port-Hamiltonian systems reveal an intrinsic inverse optimality property since each passivating state feedback controller is optimal with respect to some specific performance index. Due to the nonlinear…

Optimization and Control · Mathematics 2020-07-20 Lukas Kölsch , Pol Jané Soneira , Felix Strehle , Sören Hohmann

A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-isothermal hydrodynamic equations in a particular vanishing…

Analysis of PDEs · Mathematics 2012-06-26 Ansgar Jüngel , René Pinnau , Elisa Röhrig

In this paper, we identify a class of time-varying port-Hamiltonian systems that is suitable for studying problems at the intersection of statistical mechanics and control of physical systems. Those port-Hamiltonian systems are able to…

Statistical Mechanics · Physics 2015-06-16 Jean-Charles Delvenne , Henrik Sandberg

Hybrid wind-wave energy system, integrating floating offshore wind turbine and wave energy converters, has received much attention in recent years due to its potential benefit in increasing the power harvest density and reducing the…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Yingbo Huang , Bozhong Yuan , Haoran He , Jing Na , Yu Feng , Guang Li , Jing Zhao , Pak Kin Wong , Lin Cui

In this paper we propose an energy pumping-and-damping technique to regulate nonholonomic systems described by kinematic models. The controller design follows the widely popular interconnection and damping assignment passivity-based…

Systems and Control · Computer Science 2020-05-12 Bowen Yi , Romeo Ortega , Weidong Zhang

As energy markets begin clearing at sub-hourly rates, their interaction with load control systems becomes a potentially important consideration. A simple model for the control of thermal systems using market-based power distribution…

Chaotic Dynamics · Physics 2008-12-02 Nicolas Ho , David P. Chassin

Transient gas network simulations can significantly assist in design and operational aspects of gas networks. Models used in these simulations require a detailed framework integrating various models of the network constituents - pipes and…

Optimization and Control · Mathematics 2025-02-24 Thomas Bendokat , Peter Benner , Sara Grundel , Ashwin S. Nayak

This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints…

Systems and Control · Computer Science 2017-07-18 Zheming Wang , Guoqiang Hu

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

We propose a refined scheme of deriving an effective low-energy Hamiltonian for materials with strong electronic Coulomb correlations beyond density functional theory (DFT). By tracing out the electronic states away from the target degrees…

Strongly Correlated Electrons · Physics 2017-08-09 Motoaki Hirayama , Takashi Miyake , Masatoshi Imada , Silke Biermann

Hybrid-electric propulsion systems powered by clean energy derived from renewable sources offer a promising approach to decarbonise the world's transportation systems. Effective energy management systems are critical for such systems to…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Peng Wu , Julius Partridge , Enrico Anderlini , Yuanchang Liu , Richard Bucknall

We present an efficient numerical method for simulating the low-energy properties of disordered many-particle systems. The method which is based on the quantum-chemical configuration interaction approach consists in diagonalizing the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Vojta , Frank Epperlein , Michael Schreiber
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