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An approach of partial control design for system control and synchronization

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  • Hu, Wuhua
  • Wang, Jiang
  • Li, Xiumin

Abstract

In this paper, a general approach of partial control design for system control and synchronization is proposed. It turns control problems into simpler ones by reducing their control variables. This is realized by utilizing the dynamical relations between variables, which are described by the dynamical relation matrix and the dependence–influence matrix. By adopting partial control theory, the presented approach provides a simple and general way to stabilize systems to their partial or whole equilibriums, or to synchronize systems with their partial or whole states. Further, based on this approach, the controllers can be simplified. Two examples of synchronizing chaotic systems are given to illustrate its effectiveness.

Suggested Citation

  • Hu, Wuhua & Wang, Jiang & Li, Xiumin, 2009. "An approach of partial control design for system control and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1410-1417.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1410-1417
    DOI: 10.1016/j.chaos.2007.05.017
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    References listed on IDEAS

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    3. Ge, Zheng-Ming & Chen, Yen-Sheng, 2005. "Adaptive synchronization of unidirectional and mutual coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 881-888.
    4. 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.
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