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  • 标题:A hybrid adaptive synchronization protocol for nondeterministic perturbed fractional-order chaotic nonlinear systems
  • 本地全文:下载
  • 作者:Funing Lin ; Guangming Xue ; Guangwang Su
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-19
  • DOI:10.1186/s13662-020-02608-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we investigate hybrid adaptive synchronization issue for a class of perturbed fractional-order chaotic systems with nondeterministic nonlinear terms. On the basis of fractional-order extended version of Lyapunov stability criterion, a novel fuzzy adaptive synchronization control protocol coupled with backstepping-based method is constructed, ensuring that the synchronization errors converge to a sufficiently small region of the origin. In order to avert the occurrence of “explosion of complexity”, we take advantage of a fuzzy logic system to estimate the unknown systematic term approximately in every backstepping step. Finally, some numerical simulations are given to exemplify the effectiveness of the proposed approach.
  • 关键词:Adaptive synchronization;Backstepping-based method;Explosion of complexity;Fuzzy logic system;Nondeterministic perturbed fractional-order chaotic system;
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