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Related papers: Regularization of Port-Hamiltonian Descriptor Syst…

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We consider the problem of output feedback controller sparsification for systems with parametric uncertainties. We develop an optimization scheme that minimizes the performance deterioration caused by the sparsification process, while…

Optimization and Control · Mathematics 2018-05-16 Reza Arastoo , MirSaleh Bahavarnia

We consider the inverse problem of reconstructing inhomogeneities by performing a finite number of scattering measurements of acoustic type in the time-harmonic setting. We set up the reconstruction as a fully discrete variational problem…

Analysis of PDEs · Mathematics 2026-02-24 Daniela Di Donato , Luca Rondi

We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circuit component as an individual port-Hamiltonian system. The…

Optimization and Control · Mathematics 2020-10-28 Hannes Gernandt , Frédéric Haller , Timo Reis Arjan van der Schaft

Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the framework for model reduction of large-scale…

Numerical Analysis · Mathematics 2015-03-17 Serkan Gugercin , Rostyslav V. Polyuga , Christopher Beattie , Arjan van der Schaft

A framework for identifying nonlinear port-Hamiltonian systems using input-state-output data is introduced. The framework utilizes neural networks' universal approximation capacity to effectively represent complex dynamics in a structured…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Karim Cherifi , Achraf El Messaoudi , Hannes Gernandt , Marco Roschkowski

Controlling large-scale cyber-physical systems necessitates optimal distributed policies, relying solely on local real-time data and limited communication with neighboring agents. However, finding optimal controllers remains challenging,…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Muhammad Zakwan , Giancarlo Ferrari-Trecate

Data-driven predictive control (DDPC) has been recently proposed as an effective alternative to traditional model-predictive control (MPC) for its unique features of being time-efficient and unbiased with respect to the oracle solution.…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Valentina Breschi , Alessandro Chiuso , Simone Formentin

We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential stabilisation of the controlled state around the target…

Optimization and Control · Mathematics 2025-05-01 Herbert Egger , Marvin Fritz , Karl Kunisch , Sérgio S. Rodrigues

We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of classical static minimum cost network flow problems as optimal…

Optimization and Control · Mathematics 2023-03-24 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

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

Hamiltonian systems with linearly dependent constraints (irregular systems), are classified according to their behavior in the vicinity of the constraint surface. For these systems, the standard Dirac procedure is not directly applicable.…

High Energy Physics - Theory · Physics 2007-05-23 Olivera Miskovic , Jorge Zanelli

Regularized system identification is the major advance in system identification in the last decade. Although many promising results have been achieved, it is far from complete and there are still many key problems to be solved. One of them…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Yue Ju , Biqiang Mu , Lennart Ljung , Tianshi Chen

In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamiltonian (pH) systems, we show that the primal-dual gradient…

Optimization and Control · Mathematics 2024-12-17 Hannes Gernandt , Manuel Schaller

When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum…

Optimization and Control · Mathematics 2020-05-12 Volker Mehrmann , Paul Van Dooren

A new formulation of Stochastic Model Predictive Output Feedback Control is presented and analyzed as a translation of Stochastic Optimal Output Feedback Control into a receding horizon setting. This requires lifting the design into a…

Optimization and Control · Mathematics 2020-05-01 Martin A Sehr , Robert R Bitmead

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed…

Optimization and Control · Mathematics 2016-11-16 Milan Korda , Colin N. Jones

Here we deal with the stabilization problem of non-diagonal systems by boundary control. In the studied setting, the boundary control input is subject to a constant delay. We use the spectral decomposition method and split the system into…

Optimization and Control · Mathematics 2021-07-19 Ionut Munteanu

In these lectures notes, we review our recent works addressing various problems of finding the nearest stable system to an unstable one. After the introduction, we provide some preliminary background, namely, defining Port-Hamiltonian…

Optimization and Control · Mathematics 2022-02-08 Nicolas Gillis , Punit Sharma

This paper presents an output feedback control law for the Korteweg-de Vries equation. The control design is based on the backstepping method and the introduction of an appropriate observer. The local exponential stability of the…

Analysis of PDEs · Mathematics 2016-09-28 Swann Marx , Eduardo Cerpa

We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to $m$-accretive realisations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are…

Functional Analysis · Mathematics 2021-06-22 Rainer Picard , Sascha Trostorff , Bruce Watson , Marcus Waurick
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