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This paper presents a passivity-based control framework for AC-DC converters supplying non-passive Information Technology rack loads in DC data centers. Unlike conventional cascaded proportional-integral controllers that ensure stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Lizhi Wang , Fei Feng , Ella Chou , Yashen Lin

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of…

Analysis of PDEs · Mathematics 2018-09-05 Jochen Schmid

We investigate the existence of solutions of reversible and irreversible port-Hamiltonian systems. To this end, we utilize the associated exergy, a function that is composed of the system's Hamiltonian and entropy, to prove global existence…

Optimization and Control · Mathematics 2024-10-25 Willem Esterhuizen , Bernhard Maschke , Till Preuster , Manuel Schaller , Karl Worthmann

This letter presents a shifted passivity analysis of the single-machine infinite-bus system in the stationary ($\alpha\beta$) reference frame. We study the attractivity of a periodic synchronous steady state with constant rotor frequency…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Xinyuan Jiang

Identifying the underlying dynamics of physical systems can be challenging when only provided with observational data. In this work, we consider systems that can be modelled as first-order ordinary differential equations. By assuming a…

Systems and Control · Electrical Eng. & Systems 2024-01-03 Sigurd Holmsen , Sølve Eidnes , Signe Riemer-Sørensen

In this chapter, a statistical measure of complexity and the Fisher-Shannon information product are introduced and their properties are discussed. These measures are based on the interplay between the Shannon information, or a function of…

Chaotic Dynamics · Physics 2012-01-13 Ricardo Lopez-Ruiz , Jaime Sanudo , Elvira Romera , Xavier Calbet

Estimating the parameters that dictate the dynamics of a quantum system is an important task for quantum information processing and quantum metrology, as well as fundamental physics. In this paper we develop a method for parameter…

Quantum Physics · Physics 2015-07-07 Jun Zhang , Mohan Sarovar

In this paper, we address the problem of target detection in passive multiple-input-multiple-output (MIMO) radar networks. A generalized likelihood ratio test is derived, assuming prior knowledge of the signal format used in the…

Signal Processing · Electrical Eng. & Systems 2018-10-17 Anantha K. Karthik , Rick S. Blum

We describe a spectrally-filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier--Stokes equations, that this algorithm works for a general class of interpolants, such as…

Dynamical Systems · Mathematics 2019-03-18 Emine Celik , Eric Olson , Edriss S. Titi

In this paper is proposed the method of the identification of complex dynamic systems. Method can be used for the identification of linear and nonlinear complex dynamic systems for the determined or stochastic signals at the inputs and the…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexander Shaydurov

We propose a formalism for extracting molecular Hamiltonian structure from inversion of time-dependent fluorescence intensity data. The proposed method requires a minimum of \emph{a priori} knowledge about the system and allows for…

Chemical Physics · Physics 2009-11-06 Constantin Brif , Herschel Rabitz

In this paper, we consider linear boundary port-Hamiltonian distributed parameter systems on a time-varying spatial domain. We derive the specific time-varying Dirac structure that these systems give rise to and use it to formally establish…

Optimization and Control · Mathematics 2025-07-17 T. J. Meijer , A. Das , S. Weiland

Port-Hamiltonian systems (PHS) and interconnection and damping assignment passivity-based control (IDA-PBC) have achieved broad success in modelling and stabilisation of physical systems. However, the absence of a dedicated scalar potential…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Jinjun Jia , Yuchen Liao , Kang An , Xun Yan , Tiedong Zhang , Dapeng Jiang

This paper presents a port-Hamiltonian (PH) modeling, control, and structure-preserving simulation framework for grid-forming static var generators (SVGs). A PH model is established that captures energy exchange among the inductor,…

Optimization and Control · Mathematics 2026-05-19 Jiaxin Qian , Feng Ji , Sixu Wu , Mingyang Liu , Yifa Tang

We consider differential operators $A$ that can be represented by means of a so-called closure relation in terms of a simpler operator $A_{\operatorname{ext}}$ defined on a larger space. We analyze how the spectral properties of $A$ and…

Functional Analysis · Mathematics 2024-07-03 Jochen Glück , Birgit Jacob , Annika Meyer , Christian Wyss , Hans Zwart

In this short paper, we aim at developing algorithms for sparse Volterra system identification when the system to be identified has infinite impulse response. Assuming that the impulse response is represented as a sum of exponentials and…

Systems and Control · Computer Science 2019-03-27 Sarah Hojjatinia , Korkut Bekiroglu , Constantino M. Lagoa

A passive radar system uses one or more so-called Illuminators of Opportunity (IO) to detect and localize targets. In such systems, a reference channel is often used at each receiving node to capture the transmitted IO signal, while targets…

Signal Processing · Electrical Eng. & Systems 2026-03-18 Mats Viberg , Daniele Gerosa , Tomas McKelvey , Thomas Eriksson

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation…

Numerical Analysis · Mathematics 2022-01-14 Christian Offen , Sina Ober-Blöbaum
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