View in EDS HTML Full Text PDF Full Text

On the positivity and asymptotic stability of the fractional 2D hybrid linear Roesser model.

Saved in:
Bibliographic Details
Title: On the positivity and asymptotic stability of the fractional 2D hybrid linear Roesser model.
Authors: Ghezzar, Mohammed Amine1 (AUTHOR), Benamar, Mohammed Nadjib2 (AUTHOR), Bouagada, Djillali1 (AUTHOR), Benyettou, Kamel1 (AUTHOR) kamel.benyettou@nhsm.edu.dz
Source: Journal of Control & Decision. Mar2026, Vol. 13 Issue 2, p545-556. 12p.
Subjects: Positive systems, Global asymptotic stability, Fractional calculus, Numerical analysis, Mathematics theorems
Abstract: The aim of this paper is to introduce a new 2D fractional hybrid linear system described by the Roesser model with the conformable fractional derivative in the continuous time variables and the fractional difference in the discrete part. The solution of the considered model is derived. The positivity conditions are then extracted and the Cayley–Hamilton theorem is extended. A new necessary and sufficient conditions for the asymptotic stability of the proposed positive fractional 2D hybrid linear model are then established. Finally, some numerical examples are presented to show the applicability and the effectiveness of the presented methods. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 192312728
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: On the positivity and asymptotic stability of the fractional 2D hybrid linear Roesser model.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Ghezzar%2C+Mohammed+Amine%22">Ghezzar, Mohammed Amine</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Benamar%2C+Mohammed+Nadjib%22">Benamar, Mohammed Nadjib</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bouagada%2C+Djillali%22">Bouagada, Djillali</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Benyettou%2C+Kamel%22">Benyettou, Kamel</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kamel.benyettou@nhsm.edu.dz</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Control+%26+Decision%22">Journal of Control & Decision</searchLink>. Mar2026, Vol. 13 Issue 2, p545-556. 12p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Positive+systems%22">Positive systems</searchLink><br /><searchLink fieldCode="DE" term="%22Global+asymptotic+stability%22">Global asymptotic stability</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+theorems%22">Mathematics theorems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The aim of this paper is to introduce a new 2D fractional hybrid linear system described by the Roesser model with the conformable fractional derivative in the continuous time variables and the fractional difference in the discrete part. The solution of the considered model is derived. The positivity conditions are then extracted and the Cayley–Hamilton theorem is extended. A new necessary and sufficient conditions for the asymptotic stability of the proposed positive fractional 2D hybrid linear model are then established. Finally, some numerical examples are presented to show the applicability and the effectiveness of the presented methods. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192312728
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/23307706.2024.2394958
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 12
        StartPage: 545
    Subjects:
      – SubjectFull: Positive systems
        Type: general
      – SubjectFull: Global asymptotic stability
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Mathematics theorems
        Type: general
    Titles:
      – TitleFull: On the positivity and asymptotic stability of the fractional 2D hybrid linear Roesser model.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Ghezzar, Mohammed Amine
      – PersonEntity:
          Name:
            NameFull: Benamar, Mohammed Nadjib
      – PersonEntity:
          Name:
            NameFull: Bouagada, Djillali
      – PersonEntity:
          Name:
            NameFull: Benyettou, Kamel
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 23307706
          Numbering:
            – Type: volume
              Value: 13
            – Type: issue
              Value: 2
          Titles:
            – TitleFull: Journal of Control & Decision
              Type: main
ResultId 1