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$\alpha $-n-norms and n-bounded linear operator in random n-normed space
Iqbal H. Jebril 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.14 No.2
In this article the notions of $\alpha $-\textit{n}-convergent and $\alpha $-\textit{n}-Cauchy sequence in random n-normed space are introduced. Weak and strong \textit{n}-bounded and \textit{n}-compact linear operator in random n-normed space are discussed as well.
Pollution detection for the singular linear parabolic equation
Iqbal M. Batiha,Imad Rezzoug,Taki-Eddine Oussaeif,Adel Ouannas,Iqbal H. Jebril 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.3
In this work, we are concerned by the problem of identification of noisy terms which arise in singular problem as for remote sensing problems, and which are modeled by a linear singular parabolic equation. For the reason of missing some data that could be arisen when using the traditional sentinel method, the later will be changed by a new sentinel method for attaining the same purpose. Such new method is a particular least square-like method which permits one to distinguish between the missing terms and the pollution terms. In particular, a sentinel method will be given here in its more realistic setting for singular parabolic problems, where in this case, the observation and the control have their support in different open sets. The problem of finding a new sentinel is equivalent to finding singular optimality system of the least square control for the parabolic equation that we solve.
DC Motor Speed Control via FoPID-Controllers
Iqbal M. Batiha,Shaher Momani,Radwan M. Batyha,Iqbal H. Jebril,Duha Abu Judeh,Jamal Oudetallah 한국지능시스템학회 2024 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.24 No.1
This work aims to propose several designs for controlling the DC motor speed of a car. Suchmotor is broadly used in numerous applications like blowers, lathe machines, cranes, elevators,milling machines, fans, drilling rigs, etc. For achieving our aim, two optimization algorithms(Particle Swarm Optimization (PSO) and Bacterial Foraging Optimization (BFO)) will beexecuted to adjust the proposed controllers’ parameters. Accordingly, four Fractional-orderPID controllers (FoPID-controllers) will be formed in agreement with two types of schemes(Outstaloup’s and Continued Fraction Expansion (CFE) schemes), which will be used toapproximate the yielded Laplacian operators s±α, where 0 < α < 1.