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Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

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  • Limin Zou
  • Yang Peng
  • Yuming Feng
  • Zhengwen Tu

Abstract

The purpose of this note is to study impulsive control and synchronization of memristor based chaotic circuits shown by Muthuswamy. We first establish a less conservative sufficient condition for the stability of memristor based chaotic circuits. After that, we discuss the effect of errors on stability. Meanwhile, we also discuss impulsive synchronization of two memristor based chaotic systems. Our results are more general and more applicable than the ones shown by Yang, Li, and Huang. Finally, several numerical examples are given to show the effectiveness of our methods.

Suggested Citation

  • Limin Zou & Yang Peng & Yuming Feng & Zhengwen Tu, 2017. "Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control," Complexity, Hindawi, vol. 2017, pages 1-10, December.
    • Handle: RePEc:hin:complx:5186714
    DOI: 10.1155/2017/5186714
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    References listed on IDEAS

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    1. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
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    Cited by:

    1. Runzi Luo & Jiaojiao Fu & Haipeng Su, 2019. "The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method," Complexity, Hindawi, vol. 2019, pages 1-7, May.
    2. Ren, Guodong & Xue, Yuxiong & Li, Yuwei & Ma, Jun, 2019. "Field coupling benefits signal exchange between Colpitts systems," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 45-54.

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