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A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and a more complete detectability notion, ``input-output to…

Optimization and Control · Mathematics 2007-05-23 Brian Ingalls

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

Statistical Mechanics · Physics 2009-10-31 Jose M. Sancho , Angel Sanchez

A common problem to signal processing are biases introduced by correlated noise. When quantifying time delays between two signals, mixed noise introduces a bias towards zero delay in conventional delay estimates based on the cross- or…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Tin Jurhar , Franziska Pellegrini , Ana I. Nuñes del Toro , Tilman Stephani , Guido Nolte , Stefan Haufe

A bifurcating system subject to multiplicative noise can display on-off intermittency. Using a canonical example, we investigate the extreme sensitivity of the intermittent behavior to the nature of the noise. Through a perturbative…

Statistical Mechanics · Physics 2009-11-11 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

This paper investigates the achievable rate maximization problem of a downlink unmanned aerial vehicle (UAV)-enabled communication system aided by an intelligent omni-surface (IOS). Different from the state-of-the-art reconfigurable…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Yifan Liu , Bin Duo , Qingqing Wu , Xiaojun Yuan , Yonghui Li

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

Statistical Mechanics · Physics 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

Non-equilibrium molecular dynamics simulations are performed to investigate the dynamic behavior of three-dimensional binary glasses prepared via an instantaneous quench across the glass transition. We found that with increasing strain…

Soft Condensed Matter · Physics 2018-07-19 Nikolai V. Priezjev

This Note investigates the bias of the sampling importance resampling (SIR) filter in estimation of the state transition noise in the state space model. The SIR filter may suffer from sample impoverishment that is caused by the resampling…

Systems and Control · Computer Science 2017-07-31 Tiancheng Li

In Inverse Optimization (IO), an expert agent solves an optimization problem parametric in an exogenous signal. From a learning perspective, the goal is to learn the expert's cost function given a dataset of signals and corresponding…

Optimization and Control · Mathematics 2024-01-25 Pedro Zattoni Scroccaro , Bilge Atasoy , Peyman Mohajerin Esfahani

A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition…

Mathematical Physics · Physics 2010-10-12 Davide Bigoni , Andrea Piccolroaz

Signals with single peak and symmetry property are very common in various fields, such as probability density function of normal distribution. Among the information contained in such signals, peak position is the most important, sometimes…

Signal Processing · Electrical Eng. & Systems 2021-03-15 Wei Chen

Smoothing is omnipresent in astronomy, because almost always measurements performed at discrete positions in the sky need to be interpolated into a smooth map for subsequent analysis. Still, the statistical properties of different…

Astrophysics · Physics 2009-11-07 Marco Lombardi

Inverse optimal control (IOC) is a promising paradigm for learning and mimicking optimal control strategies from capable demonstrators, or gaining a deeper understanding of their intentions, by estimating an unknown objective function from…

Systems and Control · Electrical Eng. & Systems 2025-08-28 Rahel Rickenbach , Amon Lahr , Melanie N. Zeilinger

The dual risk model is a popular model in finance and insurance, which is often used to model the wealth process of a venture capital or high tech company. Optimal dividends have been extensively studied in the literature for a dual risk…

Risk Management · Quantitative Finance 2022-12-08 Arash Fahim , Lingjiong Zhu

This paper deals with partially-observed optimal control problems for the state governed by stochastic differential equation with delay. We develop a stochastic maximum principle for this kind of optimal control problems using a variational…

Optimization and Control · Mathematics 2020-10-15 Shuaiqi Zhang , Xun Li , Jie Xiong

Information extracted from electrohysterography recordings could potentially prove to be an interesting additional source of information to estimate the risk on preterm birth. Recently, a large number of studies have reported near-perfect…

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

Noise measurements are a probe beyond simple electronic transport that can reveal additional information about electronic correlations and inelastic processes. Here we report noise measurements in individual electromigrated nanojunctions,…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 P. J. Wheeler , Ruoyu Chen. , D. Natelson

In the analysis of highly-oscillatory evolution problems, it is commonly assumed that a single frequency is present and that it is either constant or, at least, bounded from below by a strictly positive constant uniformly in time. Allowing…

Numerical Analysis · Mathematics 2018-07-23 Philippe Chartier , Mohammed Lemou , Florian Méhats , Gilles Vilmart

The detectors in mass spectrometers are precise enough to count ion events. In practice, the statistics of chemical noise are affected by large quantization errors and overdispersion because of amplification in the detector. The detector…

Discrete Mathematics · Computer Science 2009-06-02 Sébastien Li-Thiao-Té
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