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

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

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.

Suggested Citation

  • Armando Fabián Lugo-Peñaloza & José Job Flores-Godoy & Guillermo Fernández-Anaya, 2012. "Preservation of Stability and Synchronization of a Class of Fractional-Order Systems," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-16, October.
    • Handle: RePEc:hin:jnlmpe:928930
    DOI: 10.1155/2012/928930
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