Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

Chenhui Wang

Advances in Mathematical Physics, 2018, vol. 2018, 1-9

Abstract:

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3545083

DOI: 10.1155/2018/3545083

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