Preservation of Stability and Synchronization of a Class of Fractional-Order Systems
Joint Authors
Fernandez-Anaya, G.
Lugo-Peñaloza, Armando Fabián
Flores-Godoy, J. J.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lugo-Peñaloza, Armando Fabián& Flores-Godoy, J. J.& Fernandez-Anaya, G.. 2012. Preservation of Stability and Synchronization of a Class of Fractional-Order Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1002245
Modern Language Association (MLA)
Lugo-Peñaloza, Armando Fabián…[et al.]. Preservation of Stability and Synchronization of a Class of Fractional-Order Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-1002245
American Medical Association (AMA)
Lugo-Peñaloza, Armando Fabián& Flores-Godoy, J. J.& Fernandez-Anaya, G.. Preservation of Stability and Synchronization of a Class of Fractional-Order Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-1002245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1002245