TY - JOUR A2 - Femat, Ricardo AU - Lugo-Peñaloza, Armando Fabián AU - Flores-Godoy, José Job AU - Fernández-Anaya, Guillermo PY - 2012 DA - 2012/10/02 TI - Preservation of Stability and Synchronization of a Class of Fractional-Order Systems SP - 928930 VL - 2012 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. SN - 1024-123X UR - https://doi.org/10.1155/2012/928930 DO - 10.1155/2012/928930 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -