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

Mathematics

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