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On synchronization of unified chaotic systems via nonlinear Control

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  • Park, Ju H.

Abstract

In this paper, a simple but efficient nonlinear control method is applied to the synchronization of unified chaotic systems using the Lyapunov method. A numerical example is given to illuminate the design procedure and advantage of the result derived.

Suggested Citation

  • Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:699-704
    DOI: 10.1016/j.chaos.2004.11.031
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    2. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    3. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
    4. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
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    Cited by:

    1. Chiang, Tsung-Ying & Hung, Meei-Ling & Yan, Jun-Juh & Yang, Yi-Sung & Chang, Jen-Fuh, 2007. "Sliding mode control for uncertain unified chaotic systems with input nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 437-442.
    2. Tarai (Poria), Anindita & Poria, Swarup & Chatterjee, Prasanta, 2009. "Synchronization of generalised linearly bidirectionally coupled unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 885-892.
    3. Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "On anti-synchronization of chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 170-179.
    4. Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    5. Chu, Yan-Dong & Chang, Ying-Xiang & Zhang, Jian-Gang & Li, Xian-Feng & An, Xin-Lei, 2009. "Full state hybrid projective synchronization in hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1502-1510.
    6. Park, Ju H., 2006. "Chaos synchronization between two different chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 549-554.
    7. Mahmoud, Gamal M. & Mahmoud, Emad E. & Farghaly, Ahmed A. & Aly, Shaban A., 2009. "Chaotic synchronization of two complex nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2858-2864.
    8. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    9. Park, Ju H., 2006. "Chaos synchronization of nonlinear Bloch equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 357-361.
    10. Huang, Cheng-Sea & Lian, Kuang-Yow & Su, Chien-Hsing & Wu, Jinn-Wen, 2008. "Stabilization at almost arbitrary points for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 452-459.
    11. Baishya, Chandrali & Premakumari, R.N. & Samei, Mohammad Esmael & Naik, Manisha Krishna, 2023. "Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    12. Lam, H.K., 2009. "Output-feedback synchronization of chaotic systems based on sum-of-squares approach," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2624-2629.
    13. Sun, Yeong-Jeu, 2009. "Exponential synchronization between two classes of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2363-2368.
    14. Guo, C.X. & Jiang, Q.Y. & Cao, Y.J., 2007. "Controlling chaotic oscillations via nonlinear observer approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 1014-1019.
    15. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    16. Yang, Li-Xin & Chu, Yan-Dong & Zhang, Jian-Gang & Li, Xian-Feng & Chang, Ying-Xiang, 2009. "Chaos synchronization in autonomous chaotic system via hybrid feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 214-223.
    17. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.
    18. Vadivel, R. & Sabarathinam, S. & Wu, Yongbao & Chaisena, Kantapon & Gunasekaran, Nallappan, 2022. "New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    19. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.

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