Results 61 to 70 of about 7,593 (215)

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

A Passive Low‐Frequency, High‐Sensitivity Diamagnetic Levitation Accelerometer

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Despite the great potential of diamagnetic levitation accelerometers in detecting low‐frequency and weak motion, there is still a demand to further enhance their sensitivity for geophysical and microgravity applications. In this study, a straightforward structural modulating approach is presented to enhance the sensitivity of diamagnetic ...
Yuanping Xu, Yang Wang, Lu Yang, Jin Zhou, Zhiqiang Zhang, Yanxiao Lei   +5 more
wiley   +1 more source

Robust Position Control of an Electro‐Hydraulic Actuator via Metaheuristic Optimization of a Fractional‐Order PID Controller

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar, Davut Izci, Serdar Ekinci, Mohammad Salman, Mohammad Al‐Rabayah, Ali Akdagli, Ali Yildiz, Filiz Karaomerlioglu, Gökhan Yüksek   +8 more
wiley   +1 more source

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Information Design for Early‐Stage Dose‐Finding Trials

Naval Research Logistics (NRL), EarlyView.
ABSTRACT To enhance enrollment rates in early‐stage dose‐finding clinical trials, we propose an information design approach, where the clinical investigator (CI) commits to an information releasing mechanism (IRM) based on the treatment's uncertain efficacy and toxicity to encourage patients to participate in the trial.
Amin Khademi, Ningyuan Chen
wiley   +1 more source

A framework to evaluate and identify development requirements for land‐surface models at km‐scale resolution: Application to a semi‐arid and mountainous region

Quarterly Journal of the Royal Meteorological Society, EarlyView.
This article provides a first evaluation of land‐surface models at the km‐scale resolutions at which they are used in weather and Earth‐system models. At these resolutions, the lateral transfers of water that organize landscapes play an important role in predicting evaporation correctly. Riparian processes and human water management for irrigation need
Jan Polcher, Julie Collignan, Juan Pablo Sierra Perez, Gabriele Arduini, Sophie Bastin, Martin Best, Aaron Boone, Manel Bravo, Francesca Covella, Jasper M. C. Denissen, Cenlin He, Simon Munier, Marc Prange, Elena Shevliakova   +13 more
wiley   +1 more source

A Two Degree of Freedom Approach for Discrete‐Time Sliding Mode Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes a new two degree of freedom (2‐DOF) framework for discrete‐time sliding mode control (DSMC) that decouples the disturbed evolution from its nominal counterpart. The novel nominal/disturbed subsystem separation for DSMC can be used to define multiple closed‐loop specifications. The nominal regulation (or tracking) controller
Tito L. M. Santos, Ary M. Batista
wiley   +1 more source

Enhancing Reference Tracking in Induction Motor Drives: A Hybrid Model Predictive Control and Artificial Neural Network Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Induction motors (IMs) are widely used in industry for their robustness and cost‐effectiveness, yet their nonlinear and multivariable dynamics pose significant challenges for high‐performance speed control. Model Predictive Control (MPC) is a well‐established solution but suffers from limitations related to model accuracy and parameter ...
Asier del Rio, Oscar Barambones, Eneko Artetxe, Jokin Uralde, Isidro Calvo   +4 more
wiley   +1 more source