Results 41 to 50 of about 74,324 (216)

Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device

open access: yesFractal and Fractional, 2023
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus.
Ryota Kochi, Mingcong Deng
doaj   +1 more source

On the Approximation Process of Shifted-Knots Bivariate Stancu-Type Kantorovich Operators

open access: yesJournal of Mathematics
This paper focuses on defining bivariate Stancu-type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by ...
Abdullah Alotaibi
doaj   +1 more source

Generalized matrix summability of a conjugate derived Fourier series

open access: yesJournal of Inequalities and Applications, 2017
The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more
M Mursaleen, Abdullah Alotaibi
doaj   +1 more source

Nonlinear Control System Design of an Underactuated Robot Based on Operator Theory and Isomorphism Scheme

open access: yesAxioms, 2021
The number of actuators of an underactuated robot is less than its degree of freedom. In other words, underactuated robots can be designed with fewer actuators than fully actuated ones.
Mingcong Deng, Shotaro Kubota
doaj   +1 more source

Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term

open access: yesBoundary Value Problems, 2020
In this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerkin method.
Salah Boulaaras, Nadjat Doudi
doaj   +1 more source

On modified Dunkl generalization of Szász operators via q-calculus

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen   +2 more
doaj   +1 more source

Operator-Based Nonlinear Control for a Miniature Flexible Actuator Using the Funnel Control Method

open access: yesMachines, 2021
Recently, the studies of soft actuators have been getting increased attention among various fields. Soft actuators are very safe for fragile objects and have an affinity to humans because they are composed of flexible materials.
Keisuke Ueno   +2 more
doaj   +1 more source

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

open access: yesJournal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen   +2 more
doaj   +1 more source

Experimental Study on Support Vector Machine-Based Early Detection for Sensor Faults and Operator-Based Robust Fault Tolerant Control

open access: yesMachines, 2022
Considering sensor faults for a thermoelectric cooler actuated by Peltier devices, this work proposes an operator-based robust nonlinear fault tolerant controller (FTC) integrated with early fault detection using a support vector machine (SVM).
Mingcong Deng, Yuki Tanaka, Ximei Li
doaj   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

open access: yesApplied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum   +4 more
doaj   +1 more source

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