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Poles of a multi-input multi-output (MIMO) linear system can be computed by solving an eigenvalue problem; however, the problem of computing its invariant zeros is equivalent to a generalized eigenvalue problem. This paper revisits the…

Optimization and Control · Mathematics 2025-09-30 Jhon Manuel Portella Delgado , Ankit Goel

This paper presents a controlling and positioning approach for an optical filter disk. In the known applications where Hall-effect sensors and magnets (radially positioned) are applied, the purpose of the latter is to help developing a…

Instrumentation and Detectors · Physics 2010-06-07 Atanas Marinov Atanassov , Lubomir Bankov

A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane…

Statistical Mechanics · Physics 2009-11-10 W. Janke , D. A. Johnston , R. Kenna

We present a numerical technique employing the density of partition function zeroes (i) to distinguish between phase transitions of first and higher order, (ii) to examine the crossover between such phase transitions and (iii) to measure…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Ralph Kenna

This paper presents a micromachined bandpass filter with miniature size that has relatively outstanding performance. A silicon-based eight-order microstrip bandpass filter is fabricated and measured. A novel design method of the…

Other Computer Science · Computer Science 2007-11-29 Zhang Yong , Zhu Jian , Yu Yuanwei , Chen Chen , Jia Shi Xing

The presence of critical resonances in microwave power amplifiers has a negative impact on its behavior and performance. These critical resonances are usually predicted from pole-zero stability simulations. In this paper, a different and…

Instrumentation and Detectors · Physics 2025-01-29 Juan-Mari Collantes , Nerea Otegi , Aitziber Anakabe , Libe Mori , Asier Barcenilla , Jose Manuel Gonzalez-Perez

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

The poles and zeros of a transfer function can be studied by various means. The main motivation of the present paper is to give a state-space description of the module theoretic definition of zeros introduced and analyzed by Wyman et al.…

Rings and Algebras · Mathematics 2013-09-13 Gyorgy Michaletzky

This article presents proposals for the design of reduced-order controllers for high-dimensional dynamical systems. The objective is to develop efficient control strategies that ensure stability and robustness with reduced computational…

Optimization and Control · Mathematics 2023-10-23 Mathieu Bajodek , Hugo Lhachemi , Giorgio Valmorbida

We consider complex-valued functions on the complex plane and the task of computing their zeros from samples taken along a finite grid. We introduce PhaseJumps, an algorithm based on comparing changes in the complex phase and local…

Numerical Analysis · Mathematics 2026-03-16 Antti Haimi , Günther Koliander , José Luis Romero

Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Simone Servadio

Oscillations in a power system can be categorized into free oscillations and forced oscillations. Many algorithms have been developed to estimate the modes of free oscillations in a power system. Recently, forced oscillations caught many…

Systems and Control · Computer Science 2017-01-31 Mohammadreza Ghorbaniparvar

Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the…

Information Theory · Computer Science 2019-01-30 Or Ordentlich , Gizem Tabak , Pavan Kumar Hanumolu , Andrew C. Singer , Gregory W. Wornell

A method to isolate the poles of dimensionally regulated multi-loop integrals and to calculate the pole coefficients numerically is extended to be applicable to phase space integrals as well.

High Energy Physics - Phenomenology · Physics 2008-12-30 G. Heinrich

For the estimation of transition points of finite elastic, flexible polymers with chain lengths from $13$ to $309$ monomers, we compare systematically transition temperatures obtained by the Fisher partition function zeros approach with…

Data Analysis, Statistics and Probability · Physics 2014-08-20 Julio C. S. Rocha , Stefan Schnabel , David P. Landau , Michael Bachmann

We discuss a numerical analysis employing the density of partition function zeroes which permits effective distinction between phase transitions of first and second order, elucidates crossover between such phase transitions and gives a new…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Ralph Kenna

The Yang-Lee, Fisher and Potts zeros of the one-dimensional Q-state Potts model are studied using the theory of dynamical systems. An exact recurrence relation for the partition function is derived. It is shown that zeros of the partition…

Statistical Mechanics · Physics 2007-05-23 R. G. Ghulghazaryan , N. S. Ananikian

We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which are verified for a large class of spin models in a…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

When Fourier series are used for applications in physics, involving partial differential equations, sometimes the process of resolution results in divergent series for some quantities. In this paper we argue that the use of linear low-pass…

Mathematical Physics · Physics 2015-03-31 Jorge L. deLyra