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Control and synchronization for a class of new chaotic systems via linear feedback

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Abstract

This paper presents a class of new chaotic systems containing two system parameters and a nonlinear term. The complicated dynamics are studied by virtue of theoretical analysis, numerical simulation and spectrum of Lyapunov exponents. Based on Lyapunov stability criteria, the simple sufficient conditions for the design of appropriate linear state feedback controllers to stabilize and synchronize globally the new chaotic systems are presented.

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Authors and Affiliations

  1. Institute of Systems Engineering, Tianjin University, Tianjin, 300072, China

    Jianxiong Zhang & Wansheng Tang

Authors
  1. Jianxiong Zhang
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  2. Wansheng Tang
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Correspondence to Jianxiong Zhang.

Additional information

Supported by China Postdoctoral Science Foundation No. 20060400705 and Tianjin University Research Foundation No. TJU-YFF-08B06.

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Zhang, J., Tang, W. Control and synchronization for a class of new chaotic systems via linear feedback. Nonlinear Dyn 58, 675–686 (2009). https://doi.org/10.1007/s11071-009-9509-9

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  • DOI: https://doi.org/10.1007/s11071-009-9509-9

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