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Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system.

ABSTRACT: Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-varying fractional-order systems should be discussed in the first place. Therefore, this paper analyzes the stability of the time-varying fractional-order systems and presents a stability theorem for the system with the order 0

SUBMITTER: Huang Y

PROVIDER: S-EPMC5877833 | biostudies-literature | 2018

REPOSITORIES: biostudies-literature

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Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system.

Huang Yu Y Wang Dongfeng D Zhang Jinying J Guo Feng F

PloS one 20180330 3

Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-varying fractional-order systems should be discussed in the first place. Therefore, this paper analyzes the stability of the time-varying fractional-order systems and presents a stability theorem for the system with the order 0<α<1. This theorem ...[more]

PMID: 29601587

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