Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System-Reference-Cited by-同舟云学术

Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System

Published:2023-08-09 Issue:8 Volume:12 Page:771
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Batiha Iqbal M.¹²^ORCID,Talafha Omar³,Ababneh Osama Y.⁴^ORCID,Alshorm Shameseddin¹^ORCID,Momani Shaher²⁵^ORCID

Affiliation:

1. Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan

2. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates

3. Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan

4. Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

5. Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

Abstract

From the perspective of the importance of the fractional-order linear time-invariant (FoLTI) system in plenty of applied science fields, such as control theory, signal processing, and communications, this work aims to provide certain generic solutions for commensurate and incommensurate cases of these systems in light of the Adomian decomposition method. Accordingly, we also generate another general solution of the singular FoLTI system with the use of the same methodology. Several more numerical examples are given to illustrate the core points of the perturbations of the considered singular FoLTI systems that can ultimately generate a variety of corresponding solutions.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/771/pdf

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