Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/76289
Title: Identification of fractional-order systems with unknown initial values and structure
Authors: Du, W
Miao, QY
Tong, L 
Tang, Y
Keywords: Fractional-order chaotic systems
Differential evolution
Nonlinear optimization
System identification
Synchronization
Issue Date: 2017
Publisher: North-Holland
Source: Physics letters. Section A : general, atomic and solid state physics, 2017, v. 381, no. 23, p. 1943-1949 How to cite?
Journal: Physics letters. Section A : general, atomic and solid state physics 
Abstract: In this paper, the identification problem of fractional-order chaotic systems is proposed and investigated via an evolutionary optimization approach. Different with other studies to date, this research focuses on the identification of fractional-order chaotic systems with not only unknown orders and parameters, but also unknown initial values and structure. A group of fractional-order chaotic systems, i.e., Lorenz,Lu, Chen, Rossler, Arneodo and Volta chaotic systems, are set as the system candidate pool. The identification problem of fractional-order chaotic systems in this research belongs to mixed integer nonlinear optimization in essence. A powerful evolutionary algorithm called composite differential evolution (CoDE) is introduced for the identification problem presented in this paper. Extensive experiments are carried out to show that the fractional-order chaotic systems with unknown initial values and structure can be successfully identified by means of CoDE.
URI: http://hdl.handle.net/10397/76289
ISSN: 0375-9601
EISSN: 1873-2429
DOI: 10.1016/j.physleta.2017.03.048
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