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Indian Journal of Physics

, Volume 93, Issue 9, pp 1187–1194 | Cite as

Impulsive anti-synchronization control for fractional-order chaotic circuit with memristor

  • Fanqi MengEmail author
  • Xiaoqin Zeng
  • Zuolei Wang
Original Paper

Abstract

This paper investigates the anti-synchronization of fractional-order memristive chaotic circuits (FMCC) with time delay via an impulsive control scheme. Based on the Mittag-Leffler function, the impulsive control principle and the Lyapunov stability theory, several criteria are adopted to derive the impulsive anti-synchronization of FMCC with time delay. Finally, numerical examples are exploited to verify the effectiveness of the theoretical analysis, and some discussions about the stable region are given.

Keywords

Fractional order Memristor Chaos Anti-synchronization Impulsive control 

PACS No.

05.45.Gg 

Notes

Acknowledgements

This work is supported by the National Science Foundation of China (Grants Nos. 51777180, 11771376).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no competing interests.

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Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  1. 1.Computer and Information Engineering CollegeHohai UniversityNanjingPeople’s Republic of China
  2. 2.School of Mathematics and StatisticsYancheng Teachers UniversityYanchengPeople’s Republic of China

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