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Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters

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  • Sun, Mei
  • Tian, Lixin
  • Jia, Qiang

Abstract

This paper is involved with control and synchronization of a new four-dimensional energy resources system with unknown parameters. Based on the Lyapunov stability theorem, by designed adaptive controllers and parameter update laws, this system is stabilized to unstable equilibrium and synchronizations between two systems with different unknown system parameters are realized Numerical simulations are given for the purpose of illustration and verification.

Suggested Citation

  • Sun, Mei & Tian, Lixin & Jia, Qiang, 2009. "Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1943-1949.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1943-1949
    DOI: 10.1016/j.chaos.2007.06.117
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    References listed on IDEAS

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    1. Sun, Mei & Tian, Lixin & Fu, Ying, 2007. "An energy resources demand–supply system and its dynamical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 168-180.
    2. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
    3. Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
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