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Fuzzy modeling and synchronization of hyperchaotic systems

Author

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  • Zhang, Hongbin
  • Liao, Xiaofeng
  • Yu, Juebang

Abstract

This paper presents fuzzy model-based designs for synchronization of hyperchaotic systems. The T–S fuzzy models for hyperchaotic systems are exactly derived. Based on the T–S fuzzy hyperchaotic models, the fuzzy controllers for hyperchaotic synchronization are designed via the exact linearization techniques. Numerical examples are given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:835-843
    DOI: 10.1016/j.chaos.2005.01.023
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    Cited by:

    1. Feng, Yuhu & Hu, Liangjian, 2006. "On the quasi-controllability of continuous-time dynamic fuzzy control systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 177-188.
    2. Dehghan, Mehdi & Hashemi, Behnam & Ghatee, Mehdi, 2007. "Solution of the fully fuzzy linear systems using iterative techniques," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 316-336.
    3. 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.
    4. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    5. Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    6. 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.
    7. Coelho, Leandro dos Santos & Araujo, Ernesto, 2009. "Identification of the Hénon chaotic map by fuzzy modeling and Nelder–Mead simplex method," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2762-2772.
    8. Shirkavand, Mehrdad & Pourgholi, Mahdi & Yazdizadeh, Alireza, 2022. "Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    9. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.
    10. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2009. "Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2123-2127.
    11. Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    12. P. Prakash & V. Kalaiselvi, 2012. "Numerical solutions of fuzzy differential equations by using hybrid methods," Fuzzy Information and Engineering, Springer, vol. 4(4), pages 445-455, December.
    13. Senouci, Abdelkader & Boukabou, Abdelkrim, 2014. "Predictive control and synchronization of chaotic and hyperchaotic systems based on a T–S fuzzy model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 62-78.

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