EconPapers    
Economics at your fingertips  
 

Partial Contraction Analysis of Coupled Fractional Order Systems

Ahmad Ruzitalab (), Mohammad Hadi Farahi () and Gholamhossien Erjaee ()

Journal of Applied Mathematics, 2018, vol. 2018, 1-9

Abstract: 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.

Date: 2018
References: Add references at CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2018/9414835.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2018/9414835.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:9414835

DOI: 10.1155/2018/9414835

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().

 
Page updated 2019-12-30
Handle: RePEc:hin:jnljam:9414835