TY - JOUR
T1 - Fractional generalized synchronization in a class of nonlinear fractional order systems
AU - Martínez-Guerra, Rafael
AU - Mata-Machuca, Juan L.
N1 - Funding Information:
Acknowledgments Acknowledgments This paper was supported by the Secretaría de Investigación y Posgrado of the Insti-tuto Politécnico Nacional (SIP-IPN) under the research grant 20144056.
PY - 2014/9
Y1 - 2014/9
N2 - Generalized synchronization in nonlinear fractional order systems occurs whether the states of one system by means of a functional mapping are identical to states of another. This mapping can be obtained if there exists a fractional differential primitive element whose elements are fractional derivatives which generate a differential transcendence basis. In this contribution we investigate the fractional generalized synchronization (FGS) problem for a class of strictly different nonlinear fractional order systems and we consider the master-slave synchronization scheme. As well as, of a natural manner we construct a fractional generalized observability canonical form, we introduce a fractional algebraic observability property, and we design a fractional dynamical controller able to achieve synchronization. These particular forms of FGS are illustrated with numerical results.
AB - Generalized synchronization in nonlinear fractional order systems occurs whether the states of one system by means of a functional mapping are identical to states of another. This mapping can be obtained if there exists a fractional differential primitive element whose elements are fractional derivatives which generate a differential transcendence basis. In this contribution we investigate the fractional generalized synchronization (FGS) problem for a class of strictly different nonlinear fractional order systems and we consider the master-slave synchronization scheme. As well as, of a natural manner we construct a fractional generalized observability canonical form, we introduce a fractional algebraic observability property, and we design a fractional dynamical controller able to achieve synchronization. These particular forms of FGS are illustrated with numerical results.
KW - Fractional differential primitive element
KW - Fractional generalized synchronization
KW - Fractional order dynamical controller
KW - Fractional order nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=84897350239&partnerID=8YFLogxK
U2 - 10.1007/s11071-014-1373-6
DO - 10.1007/s11071-014-1373-6
M3 - Artículo
SN - 0924-090X
VL - 77
SP - 1237
EP - 1244
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 4
ER -