Partial Contraction Analysis of Coupled Fractional Order Systems
Joint Authors
Erjaee, G. H.
Farahi, M. H.
Ruzitalab, Ahmad
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ruzitalab, Ahmad& Farahi, M. H.& Erjaee, G. H.. 2018. Partial Contraction Analysis of Coupled Fractional Order Systems. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1176094
Modern Language Association (MLA)
Ruzitalab, Ahmad…[et al.]. Partial Contraction Analysis of Coupled Fractional Order Systems. Journal of Applied Mathematics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1176094
American Medical Association (AMA)
Ruzitalab, Ahmad& Farahi, M. H.& Erjaee, G. H.. Partial Contraction Analysis of Coupled Fractional Order Systems. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1176094
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176094