Results 51 to 60 of about 92,147 (297)

Construction of Lyapunov functions from first integrals for stochastic stability analysis

Applied and Computational Mechanics
This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and
Náprstek J., Fischer C.
doaj   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source

An extension of the method of brackets. Part 2

Open Mathematics, 2020
The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert the
Gonzalez Ivan, Jiu Lin, Moll Victor H.
doaj   +1 more source

On the integration of products of Whittaker functions with respect to the second index

, 2003
Several new formulas are developed that enable the evaluation of a family of definite integrals containing the product of two Whittaker W-functions. The integration is performed with respect to the second index, and the first index is permitted to have ...
Becker, Peter A.
core   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

Effective Sliding Motions of Vibration‐Induced Emission Stoppers in Mechanically Interlocked Molecules as Artificial Muscle Tougheners and In Situ Molecular Shuttling Sensors for Self‐Healable Mechano‐Fluorescent Polyurethane Organogels

Advanced Functional Materials, EarlyView.
The self‐healable ratiometric mechano‐fluorescent polyurethane (PU) organogel is constructed by incorporating a minor amount (ca. 1.5 wt.%) of the unconventional daisy chain rotaxane (as an artificial molecular muscle toughener) with specific sliding motions and ratiometric emission behaviors into the PU skeleton, which reveals the progressed intrinsic
Tu Thi Kim Cuc, Yu‐Chen Lai, Trang Manh Khang, Wei‐Tsung Chuang, Tung‐Kung Wu, Ricardas Rotomskis, Simona Steponkiene, Hong‐Cheu Lin   +7 more
wiley   +1 more source

On certain infinite series and definite integrals

Revista Técnica de la Facultad de Ingeniería, 2011
The object of this paper is to obtain the sums of certain infinite series and evaluate certain new definite integrals with simple functions. Two combinatorial identities are obtained.
W. Bassali
doaj  

Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions

Axioms
In 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama, Dongkyu Lim, Arjun K. Rathie, Adem Kilicman   +3 more
doaj   +1 more source

FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION

Проблемы анализа, 2020
The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases.
D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji   +3 more
doaj   +1 more source

Cell Calcification Models and Their Implications for Medicine and Biomaterial Research

Advanced Healthcare Materials, EarlyView.
Calcification, is the process by which the tissues containing minerals are formed, occurring during normal physiological processes, or in pathological conditions. Here, it is aimed to give a comprehensive overview of the range of cell models available, and the approaches taken by these models, highlighting when and how methodological divergences arise,
Luke Hunter, Caterina Vanelli Coralli, Robert Dzhanaev, Aaron Morgan, Willi Jahnen‐Dechent, Sergio Bertazzo   +5 more
wiley   +1 more source