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An exponential observer for the generalized Rossler chaotic system

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  • Sun, Yeong-Jeu

Abstract

In this paper, the generalized Rossler chaotic system is considered and the state observation problem of such a system is investigated. Based on the time-domain approach, a state observer for the generalized Rossler chaotic system is developed to guarantee the global exponential stability of the resulting error system. Moreover, the guaranteed exponential convergence rate can be arbitrarily pre-specified. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "An exponential observer for the generalized Rossler chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2457-2461.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2457-2461
    DOI: 10.1016/j.chaos.2007.10.038
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    References listed on IDEAS

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    1. Luo, Albert C.J., 2006. "Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 627-649.
    2. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "Chaos, self-organized criticality, and SETAR nonlinearity: An analysis of purchasing power parity between Canada and the United States," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1437-1444.
    3. Yang, Dixiong & Li, Gang & Cheng, Gengdong, 2007. "On the efficiency of chaos optimization algorithms for global optimization," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1366-1375.
    4. 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.
    5. Chien, Tsun-I & Liao, Teh-Lu, 2005. "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 241-255.
    6. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
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    Cited by:

    1. Wu, Tao & Gao, Xiangyun & An, Feng & Kurths, Jürgen, 2023. "The complex dynamics of correlations within chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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