We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL.
- Authors
ODIBAT, ZAID M.; CORSON, NATHALIE; AZIZ-ALAOUI, M. A.; BERTELLE, CYRILLE
- 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.
- Subjects
LINEAR control systems; SYNCHRONIZATION; AUTOMATIC control systems; COMPUTER simulation; NUMERICAL analysis
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2010, Vol 20, Issue 1, p81
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127410025429