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It is shown that the behavior of an $m$-port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elements, and a structured skew-symmetric linear operator…

Optimization and Control · Mathematics 2023-06-21 Thomas Chaffey , Sebastian Banert , Pontus Giselsson , Richard Pates

We study a~quasilinear coupled magneto-quasistatic model from a~systems theoretic perspective.} First, by taking the injected voltages as input and the associated currents as output, we prove that the magneto-quasistatic system is passive.…

Analysis of PDEs · Mathematics 2022-05-31 Timo Reis , Tatjana Stykel

In this paper, we analyze the fundamental trade-off between information transfer and power gain by means of an information-theoretic framework in communications circuits. This analysis is of interest as many of today's applications require…

Information Theory · Computer Science 2014-04-22 Fabian Steiner , Amine Mezghani , Josef A. Nossek

We propose the application of occupation measure theory to the classical problem of transient stability analysis for power systems. This enables the computation of certified inner and outer approximations for the region of attraction of a…

Optimization and Control · Mathematics 2018-11-06 Cedric Josz , Daniel K. Molzahn , Matteo Tacchi , Somayeh Sojoudi

Quantum lattice models describe a wide array of physical systems, and are a canonical way to numerically solve the Schrodinger equation. Here we prove the potential inversion theorem, which says that wavefunction probability in these models…

Quantum Physics · Physics 2023-08-02 Alec Shelley , Henry Hunt

This paper presents a method for developing single and multi-port frequency dependent network equivalent (FDNE) based on a passivity enforced online recursive least squares identification algorithm, which identifies the input admittance…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Abilash Thakallapelli , Sudipta Ghosh , Sukumar Kamalasadan

This paper proposes a new methodology to maximize the feasible set of power injections and cross-border power transfers in meshed multi-area power systems. The approach used polyhedral computation schemes and is an extension to the classic…

Optimization and Control · Mathematics 2015-11-03 Alexander Fuchs , Marc Scherer , Göran Andersson

The circuit model of quantum computation is reformulated as a multilayer network theory [3] called a Quantum Multiverse Network (QuMvN). The QuMvN formulation allows us to interpret the quantum wave function as a combination of ergodic…

Quantum Physics · Physics 2019-09-24 Perry Sakkaris , Ryan Sudhakaran

The total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions, each…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

The scheme of quantum teleportation, where Bob has multiple (N) output ports and obtains the teleported state by simply selecting one of the N ports, is thoroughly studied. We consider both deterministic version and probabilistic version of…

Quantum Physics · Physics 2009-04-06 Satoshi Ishizaka , Tohya Hiroshima

Wireless Power Transfer (WPT) is expected to be a technology reshaping the landscape of low-power applications such as the Internet of Things, Radio Frequency identification (RFID) networks, etc. Although there has been some progress…

Information Theory · Computer Science 2017-10-11 Yang Huang , Bruno Clerckx

We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from $C_0$-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability…

Analysis of PDEs · Mathematics 2023-12-12 Marcus Waurick , Hans Zwart

We put forward a gauge-invariant theoretical framework for studying time-resolved thermoelectric transport in an arbitrary multiterminal electronic quantum system described by a non-interacting tight-binding model. The system is driven out…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Adel Kara Slimane , Phillipp Reck , Geneviève Fleury

We consider a class of infinite dimensional (distributed) pH systems which is invariant under Kirchhoff-type interconnections and prove exponential stability and a power balance equation for classical solutions. The results are illustrated…

Optimization and Control · Mathematics 2023-11-08 Hannes Gernandt , Dorothea Hinsen

Wireless powered communication networks are becoming an effective solution for improving self sustainability of mobile devices. In this context, a hybrid access point transfers energy to a group of nodes, which use the harvested energy to…

Information Theory · Computer Science 2016-01-29 Alessandro Biason , Michele Zorzi

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

Statistical Mechanics · Physics 2025-10-24 Kay Brandner , Keiji Saito

Some recent publications by authors from the University of Maryland analyse the fluctuations of multi-port model parameters in stochastic environments. These authors use random matrix theory (RMT) for estimates concerning eigenfunction…

Mathematical Physics · Physics 2011-11-10 Bastiaan Michielsen , Francois Issac , Isabelle Junqua , Cecile Fiachetti

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler