Partial Contraction Analysis of Coupled Fractional Order Systems
Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization pheno...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/9414835 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849411931993014272 |
|---|---|
| author | Ahmad Ruzitalab Mohammad Hadi Farahi Gholamhossien Erjaee |
| author_facet | Ahmad Ruzitalab Mohammad Hadi Farahi Gholamhossien Erjaee |
| author_sort | Ahmad Ruzitalab |
| collection | DOAJ |
| description | Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems. |
| format | Article |
| id | doaj-art-65459e5f51ed486eafd22fd80aad4c2a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-65459e5f51ed486eafd22fd80aad4c2a2025-08-20T03:34:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/94148359414835Partial Contraction Analysis of Coupled Fractional Order SystemsAhmad Ruzitalab0Mohammad Hadi Farahi1Gholamhossien Erjaee2Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, International Campus, Mashhad, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranSchool of Physical Sciences, University of California, Irvine, USAContraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems.http://dx.doi.org/10.1155/2018/9414835 |
| spellingShingle | Ahmad Ruzitalab Mohammad Hadi Farahi Gholamhossien Erjaee Partial Contraction Analysis of Coupled Fractional Order Systems Journal of Applied Mathematics |
| title | Partial Contraction Analysis of Coupled Fractional Order Systems |
| title_full | Partial Contraction Analysis of Coupled Fractional Order Systems |
| title_fullStr | Partial Contraction Analysis of Coupled Fractional Order Systems |
| title_full_unstemmed | Partial Contraction Analysis of Coupled Fractional Order Systems |
| title_short | Partial Contraction Analysis of Coupled Fractional Order Systems |
| title_sort | partial contraction analysis of coupled fractional order systems |
| url | http://dx.doi.org/10.1155/2018/9414835 |
| work_keys_str_mv | AT ahmadruzitalab partialcontractionanalysisofcoupledfractionalordersystems AT mohammadhadifarahi partialcontractionanalysisofcoupledfractionalordersystems AT gholamhossienerjaee partialcontractionanalysisofcoupledfractionalordersystems |