Results 61 to 70 of about 58,365 (183)
Talbot effect for dispersion in linear optical fibers and a wavelet approach
We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are ...
Cabrera, H. +3 more
core +1 more source
The role of identification in data‐driven policy iteration: A system theoretic study
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley +1 more source
ABSTRACT This paper presents the development and validation of a scalable platooning system based on the predecessor‐following (PF) topology, designed for low‐cost follower platforms. It integrates key technologies such as localization, path planning, profile generation, and low‐level control to create a practical solution.
Dongwoo Seo, Jinhee Lee, Jaeyoung Kang
wiley +1 more source
ABSTRACT Recently, the zeroing neural network (ZNN) has demonstrated remarkable effectiveness in tackling time‐varying problems, delivering robust performance across both noise‐free and noisy environments. However, existing ZNN models are limited in their ability to actively suppress noise, which constrains their robustness and precision in solving ...
Yilin Shang +3 more
wiley +1 more source
ABSTRACT Adhesively bonded structures often consist of parts with different or varying thicknesses, which can influence their mechanical behavior and performance. Distributed backface strain monitoring using optical fiber sensors offers a promising solution for the real‐time structural monitoring of adhesive joints.
Alessandra Panerai +3 more
wiley +1 more source
Financial Time Series Uncertainty: A Review of Probabilistic AI Applications
ABSTRACT Probabilistic machine learning models offer a distinct advantage over traditional deterministic approaches by quantifying both epistemic uncertainty (stemming from limited data or model knowledge) and aleatoric uncertainty (due to inherent randomness in the data), along with full distributional forecasts.
Sivert Eggen +4 more
wiley +1 more source
Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2\pi)^m}\int\frac{d^Dx}{(2\pi)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)^4} $$ over $d=D+m$ dimensional space with $(x,y),\,(p,q)\in
Pogány, Tibor K., Shpot, Mykola A.
core +1 more source
Nonparametric Detection of a Time‐Varying Mean
ABSTRACT We propose a nonparametric portmanteau test for detecting changes in the unconditional mean of a univariate time series which may display either long or short memory. Our approach is designed to have power against, among other things, cases where the mean component of the series displays abrupt level shifts, deterministic trending behaviour ...
Fabrizio Iacone, A. M. Robert Taylor
wiley +1 more source
Iterative methods for k-Hessian equations
On a domain of the n-dimensional Euclidean space, and for an integer k=1,...,n, the k-Hessian equations are fully nonlinear elliptic equations for k >1 and consist of the Poisson equation for k=1 and the Monge-Ampere equation for k=n.
Awanou, Gerard
core +2 more sources
Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley +1 more source

