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2018 Partial Contraction Analysis of Coupled Fractional Order Systems
Ahmad Ruzitalab, Mohammad Hadi Farahi, Gholamhossien Erjaee
J. Appl. Math. 2018: 1-9 (2018). DOI: 10.1155/2018/9414835

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.

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Ahmad Ruzitalab. Mohammad Hadi Farahi. Gholamhossien Erjaee. "Partial Contraction Analysis of Coupled Fractional Order Systems." J. Appl. Math. 2018 1 - 9, 2018. https://doi.org/10.1155/2018/9414835

Information

Received: 18 December 2017; Revised: 14 May 2018; Accepted: 4 June 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07000940
MathSciNet: MR3827856
Digital Object Identifier: 10.1155/2018/9414835

Rights: Copyright © 2018 Hindawi

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