Skip to Main content Skip to Navigation
New interface
Journal articles

Synchronization of chaotic fractional-order systems via linear control

Abstract : The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We investigate the chaos synchronization of two identical systems via a suitable linear controller applied to the response system. Based on the stability results of linear fractional-order systems, sufficient conditions for chaos synchronization of these systems are given. Control laws are derived analytically to achieve synchronization of the chaotic fractional-order Chen, Rössler and modified Chua systems. Numerical simulations are provided to verify the theoretical analysis
Complete list of metadata

Cited literature [39 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00430513
Contributor : Cyrille Bertelle Connect in order to contact the contributor
Submitted on : Sunday, November 8, 2009 - 12:36:38 PM
Last modification on : Friday, April 1, 2022 - 1:40:01 PM
Long-term archiving on: : Thursday, June 17, 2010 - 7:44:46 PM

File

Odibat-IJBC-3857-250209.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00430513, version 1

Citation

Zaid M. Odibat, Nathalie Corson, Moulay Aziz-Alaoui, Cyrille Bertelle. Synchronization of chaotic fractional-order systems via linear control. International journal of bifurcation and chaos in applied sciences and engineering , 2010, 20 (1), pp.1-15. ⟨hal-00430513⟩

Share

Metrics

Record views

196

Files downloads

838