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

Chenhui Wang

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

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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https://doi.org/10.1155/2018/3545083

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3545083

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