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Application of Cooperative Control of Discrete‐Time Nonlinear Multi‐Agent Systems Based on Extended Kalman Unknown Input Observer

Vector: The Journal of Engineering, Volume 2027, Issue 1, January/December 2027.
This study is concerned with the application of consensus control to a class of discrete‐time nonlinear multi‐agent systems with unknown inputs and additive noise. The aim is to design an extended Kalman unknown input observer (EKUIO) such that the state vector of a discrete‐time nonlinear system can be estimated, additive noise can be mitigated, and ...
Yan Ren, Kai Weng, Liyun Zhao, Junru Shan +3 more
wiley +1 more source

Convergence Analysis of Controlled Particle Systems Arising in Deep Learning: From Finite to Infinite Sample Size. [PDF]

Appl Math Optim
Liao H, Mészáros AR, Mou C, Zhou C.
europepmc +1 more source

Generative Adversarial Networks for Omics Data: An Overview and Future Directions for Livestock Applications

Animal Genetics, Volume 57, Issue 6, December 2026.
ABSTRACT Generative adversarial networks (GANs) are artificial intelligence models designed to generate novel data that is indistinguishable from real data. Originally developed to generate images to complement existing datasets and create more diverse samples, GAN‐based data can enhance downstream analysis for machine learning and deep learning ...
Edgar Caballero Vargas, Tiago Bresolin
wiley +1 more source

Numerical convergence of the scalar auxiliary variable method applied to nonlinear stiff string models. [PDF]

Nonlinear Dyn
Russo R, Ducceschi M, Bilbao S.
europepmc +1 more source

Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley +1 more source

Finite-time and predefined-time dynamical systems for solving strongly pseudomonotone mixed equilibrium problems. [PDF]

PLoS One
Wen Q, Khan VK, Cai QB, Ahmad MK.
europepmc +1 more source

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]

Arch Ration Mech Anal
Bögelein V, Duzaar F, Treu G.
europepmc +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley +1 more source

Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]

Sci Rep
Devi RA +6 more
europepmc +1 more source

mathematics