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The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils
This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative. The complexity of their entropy lies in defining the complete...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512919/ https://www.ncbi.nlm.nih.gov/pubmed/33265490 http://dx.doi.org/10.3390/e20060400 |
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author | Batiha, Iqbal M. El-Khazali, Reyad AlSaedi, Ahmed Momani, Shaher |
author_facet | Batiha, Iqbal M. El-Khazali, Reyad AlSaedi, Ahmed Momani, Shaher |
author_sort | Batiha, Iqbal M. |
collection | PubMed |
description | This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative. The complexity of their entropy lies in defining the complete solution of such systems, which depends on introducing a method of decomposing their dynamic states from their static states. The solution is formulated by converting the singular system of regular pencils into a recursive form using the sequence of transformations, which separates the dynamic variables from the algebraic variables. The main idea of this work is demonstrated via numerical examples. |
format | Online Article Text |
id | pubmed-7512919 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75129192020-11-09 The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils Batiha, Iqbal M. El-Khazali, Reyad AlSaedi, Ahmed Momani, Shaher Entropy (Basel) Article This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative. The complexity of their entropy lies in defining the complete solution of such systems, which depends on introducing a method of decomposing their dynamic states from their static states. The solution is formulated by converting the singular system of regular pencils into a recursive form using the sequence of transformations, which separates the dynamic variables from the algebraic variables. The main idea of this work is demonstrated via numerical examples. MDPI 2018-05-23 /pmc/articles/PMC7512919/ /pubmed/33265490 http://dx.doi.org/10.3390/e20060400 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Batiha, Iqbal M. El-Khazali, Reyad AlSaedi, Ahmed Momani, Shaher The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title | The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title_full | The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title_fullStr | The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title_full_unstemmed | The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title_short | The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils |
title_sort | general solution of singular fractional-order linear time-invariant continuous systems with regular pencils |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512919/ https://www.ncbi.nlm.nih.gov/pubmed/33265490 http://dx.doi.org/10.3390/e20060400 |
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