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On the state reconstructor design for a class of chaotic systems

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  • Sun, Yeong-Jeu

Abstract

In this paper, a class of chaotic systems is considered and the state reconstruction problem of such systems is investigated. Based on the time-domain approach, a state reconstructor for a class of chaotic systems is proposed to guarantee the global exponential stability of the resulting error system. In addition, the guaranteed exponential convergence rate can be accurately estimated. Finally, a numerical example is given to show the effectiveness of the obtained result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "On the state reconstructor design for a class of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 815-820.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:815-820
    DOI: 10.1016/j.chaos.2007.08.028
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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. 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.
    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.
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