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Impulsive control of a new chaotic system

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  • Sun, Jitao

Abstract

Based on the new comparison theorem of impulsive system, this paper derives some sufficient conditions for the stabilization and synchronization of a new chaotic system via impulsive control with varying impulsive intervals, the new chaotic system is a three-dimensional continuous autonomous chaotic system, which can display complex two- and four-scroll attractors in simulations.

Suggested Citation

  • Sun, Jitao, 2004. "Impulsive control of a new chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(6), pages 669-677.
    • Handle: RePEc:eee:matcom:v:64:y:2004:i:6:p:669-677
    DOI: 10.1016/j.matcom.2003.11.018
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    Citations

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    Cited by:

    1. Yan, Zhenya & Yu, Pei, 2007. "Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 419-435.
    2. Zhang, Xiaohong & Liao, Xiaofeng & Li, Chuandong, 2005. "Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 845-854.
    3. Runzi, Luo & Zhengmin, Wei, 2009. "Adaptive function projective synchronization of unified chaotic systems with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1266-1272.
    4. Zhang, Xiaohong & Khadra, Anmar & Li, Dong & Yang, Dan, 2009. "Impulsive stability of chaotic systems represented by T-S model," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1863-1869.
    5. Coelho, Leandro dos Santos & Bernert, Diego Luis de Andrade, 2009. "PID control design for chaotic synchronization using a tribes optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 634-640.
    6. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2008. "Impulsive control for T–S fuzzy model-based chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 409-415.
    7. Yu, Hengguo & Zhong, Shouming & Ye, Mao, 2009. "Dynamic analysis of an ecological model with impulsive control strategy and distributed time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(3), pages 619-632.
    8. Pang, Guoping & Chen, Lansun, 2008. "Dynamic analysis of a pest-epidemic model with impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 72-84.
    9. Hu, Manfeng & Yang, Yongqing & Xu, Zhenyuan & Guo, Liuxiao, 2008. "Hybrid projective synchronization in a chaotic complex nonlinear system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 449-457.
    10. Sun, Jitao & Zhang, Yinping, 2004. "Impulsive control and synchronization of Chua’s oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 499-508.
    11. Xinggui Li & Ruofeng Rao & Xinsong Yang, 2022. "Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary," Mathematics, MDPI, vol. 10(11), pages 1-18, May.

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