Preservation of Stability and Synchronization of a Class of Fractional-Order Systems

Armando Fabián Lugo-Peñaloza, José Job Flores-Godoy and Guillermo Fernández-Anaya

Mathematical Problems in Engineering, 2012, vol. 2012, 1-16

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:928930

DOI: 10.1155/2012/928930

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