Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
High Relative Accuracy Computations With Covariance Matrices of Order Statistics
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz +3 more
wiley +1 more source
Nonparametric Bootstrap of Sample Means of Positive-Definite Matrices with an Application to Diffusion-Tensor-Imaging Data Analysis. [PDF]
Ellingson L +4 more
europepmc +1 more source
Exploring Asymptotic Normality in Multinomial Models
ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source
ABSTRACT This study explores the nonlinear dynamics associated with a passive dynamic walker (PDW), focusing on the bifurcation and stability insights derived from spring and damper mechanics. PDWs, which rely on gravity for stable locomotion without active control, exhibit a rich spectrum of behaviors, from periodic to chaotic motion.
Zhongqu Xie +8 more
wiley +1 more source
Local Polynomial Regression for Symmetric Positive Definite Matrices. [PDF]
Yuan Y, Zhu H, Lin W, Marron JS.
europepmc +1 more source
ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao +3 more
wiley +1 more source
On the estimation of upper bound for solutions of perturbed discrete Lyapunov equations
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discussed. Several upper bounds of the positive definite solutions are obtained when the perturbation parameters are norm-bounded uncertain.
Chen Dong-Yan, Wang De-Yu
doaj
Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems
ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley +1 more source
BHATTACHARYYA MEDIAN OF SYMMETRIC POSITIVE-DEFINITE MATRICES AND APPLICATION TO THE DENOISING OF DIFFUSION-TENSOR FIELDS. [PDF]
Charfi M +3 more
europepmc +1 more source

