TY - JOUR
T1 - Preservation of stability and synchronization of a class of fractional-order systems
AU - Lugo-Peñaloza, Armando Fabián
AU - Flores-Godoy, José Job
AU - Fernández-Anaya, Guillermo
PY - 2012
Y1 - 2012
N2 - We present sufficient conditions for the preservation of stability of fractional-order systems, and then we use this result to preserve the synchronization, in a master-slave scheme, of fractional-order systems. The systems treated herein are autonomous fractional differential linear and nonlinear systems with commensurate orders lying between 0 and 2, where the nonlinear ones can be described as a linear part plus a nonlinear part. These results are based on stability properties for equilibria of fractional-order autonomous systems and some similar properties for the preservation of stability in integer order systems. Some simulation examples are presented only to show the effectiveness of the analytic result.
AB - We present sufficient conditions for the preservation of stability of fractional-order systems, and then we use this result to preserve the synchronization, in a master-slave scheme, of fractional-order systems. The systems treated herein are autonomous fractional differential linear and nonlinear systems with commensurate orders lying between 0 and 2, where the nonlinear ones can be described as a linear part plus a nonlinear part. These results are based on stability properties for equilibria of fractional-order autonomous systems and some similar properties for the preservation of stability in integer order systems. Some simulation examples are presented only to show the effectiveness of the analytic result.
UR - http://www.scopus.com/inward/record.url?scp=84877288094&partnerID=8YFLogxK
U2 - 10.1155/2012/928930
DO - 10.1155/2012/928930
M3 - Artículo
AN - SCOPUS:84877288094
SN - 1024-123X
VL - 2012
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 928930
ER -