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Switching control of linear systems for generating chaos

Author

Listed:
  • Liu, Xinzhi
  • Teo, Kok-Lay
  • Zhang, Hongtao
  • Chen, Guanrong

Abstract

In this paper, a new switching method is developed, which can be applied to generating different types of chaos or chaos-like dynamics from two or more linear systems. A numerical simulation is given to illustrate the generated chaotic dynamic behavior of the systems with some variable parameters. Finally, a circuit is built to realize various chaotic dynamical behaviors.

Suggested Citation

  • Liu, Xinzhi & Teo, Kok-Lay & Zhang, Hongtao & Chen, Guanrong, 2006. "Switching control of linear systems for generating chaos," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 725-733.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:725-733
    DOI: 10.1016/j.chaos.2005.03.020
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    Cited by:

    1. Barajas-Ramírez, Juan Gonzalo & Franco-López, Arturo & González-Hernández, Hugo G., 2021. "Generating Shilnikov chaos in 3D piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Gluskin, Emanuel, 2009. "On one interesting case of switching nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1870-1872.
    3. Li, Ping & Zhong, Shou-Ming & Cui, Jin-Zhong, 2009. "Stability analysis of linear switching systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 474-480.
    4. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    5. Zhao, Yi & Xie, Lingli & Yiu, K.F. Cedric, 2009. "An improvement on Marotto’s theorem and its applications to chaotification of switching systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2225-2232.

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