Fractional-order sliding mode synchronization for fractional-order chaotic systems (Q1629190)
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scientific article; zbMATH DE number 6991949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional-order sliding mode synchronization for fractional-order chaotic systems |
scientific article; zbMATH DE number 6991949 |
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Fractional-order sliding mode synchronization for fractional-order chaotic systems (English)
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11 December 2018
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Summary: Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.
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stability check
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fractional-order nonlinear systems
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synchronization
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fractional-order sliding mode controller
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