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Synchronizing the noise-perturbed unified chaotic system by sliding mode control

Author

Listed:
  • Zhang, Qing
  • Chen, Shihua
  • Hu, Yuanming
  • Wang, Changping

Abstract

In this paper, synchronization between unidirectionally coupled unified chaotic systems with noise perturbation is investigated. Sufficient conditions of synchronization between these noise-perturbed systems are established by means of the so-called sliding mode control method. Some numerical simulations are also included to visualize the effectiveness and the feasibility of the developed approach.

Suggested Citation

  • Zhang, Qing & Chen, Shihua & Hu, Yuanming & Wang, Changping, 2006. "Synchronizing the noise-perturbed unified chaotic system by sliding mode control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 317-324.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:317-324
    DOI: 10.1016/j.physa.2006.03.057
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    Citations

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    Cited by:

    1. Li, Wang-Long & Chang, Kuo-Ming, 2009. "Robust synchronization of drive–response chaotic systems via adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2086-2092.
    2. Farivar, Faezeh & Aliyari Shoorehdeli, Mahdi & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2012. "Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 80-97.
    3. Gao, Yuan & Liang, Chenghua & Wu, Qiqi & Yuan, Haiying, 2015. "A new fractional-order hyperchaotic system and its modified projective synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 190-204.
    4. Yanhao Ren & Qiang Luo & Wenlian Lu, 2023. "Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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