TY - JOUR
T1 - Synchronization of nonlinear fractional order systems
AU - Martínez-Martínez, Rafael
AU - Mata-Machuca, Juan L.
AU - Martínez-Guerra, Rafael
AU - León, Jorge A.
AU - Fernández-Anaya, Guillermo
N1 - Funding Information:
R. Martínez-Martínez and J. L. Mata-Machuca gratefully acknowledge to CONACyT (México) for the corresponding postgraduate scholarships. This work was partially supported by the CONACyT Grant 98998.
PY - 2011/12/1
Y1 - 2011/12/1
N2 - This paper deals with the master-slave synchronization scheme for partially known nonlinear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the master system. As numerical examples we consider a fractional order Rössler hyperchaotic system and a fractional order Lorenz chaotic system and by means of some simulations we show the effectiveness of the suggested approach.
AB - This paper deals with the master-slave synchronization scheme for partially known nonlinear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the master system. As numerical examples we consider a fractional order Rössler hyperchaotic system and a fractional order Lorenz chaotic system and by means of some simulations we show the effectiveness of the suggested approach.
KW - Fractional Algebraic Observability
KW - Fractional chaotic systems
KW - Fractional hyperchaotic systems
KW - Nonlinear fractional order systems
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=80054971337&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2011.08.075
DO - 10.1016/j.amc.2011.08.075
M3 - Artículo
SN - 0096-3003
VL - 218
SP - 3338
EP - 3347
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 7
ER -