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Control of the Lorenz chaos by the exact linearization

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Abstract

Controlling chaos in the Lorenz system with a controllable Rayleigh number is investigated by the state space exact linearization method. Based on proving the exact linearizability, the nonlinear feedback is utilized to design the transformation changing the original chaotic system into a linear controllable one so that the control is realized. Numerical examples of control are presented.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200030, Shanghai, P.R. China

    Chen Liqun & Liu Yanzhu

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  1. Chen Liqun
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  2. Liu Yanzhu
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Communicated by Liu Zengrong

Prjject supported by the Science Foundation of the National Education Committee for Doctorate Program and the Applied Science Foundation of the Ministry of Metallurgical Industry

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Liqun, C., Yanzhu, L. Control of the Lorenz chaos by the exact linearization. Appl Math Mech 19, 67–73 (1998). https://doi.org/10.1007/BF02458982

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  • DOI: https://doi.org/10.1007/BF02458982

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