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

被引：1
|
作者：
Fabian Lugo-Penaloza, Armando [1 ]
Job Flores-Godoy, Jose [1 ]
Fernandez-Anaya, Guillermo [1 ]
机构：
[1] Univ Iberoamer, Dept Fis & Matemat, Mexico City 01210, DF, Mexico
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
关键词：
CHAOTIC ATTRACTORS; HYPERCHAOS;
D O I：
10.1155/2012/928930
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：16
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