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Lag synchronization of a class of chaotic systems with unknown parameters

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Abstract

Research on chaos synchronization of dynamical systems has been largely reported in literature. However, synchronization of different structure—uncertain dynamical systems—has received less attention. This paper addresses synchronization of a class of time-delay chaotic systems containing uncertain parameters. A unified scheme is established for synchronization between two strictly different time-delay uncertain chaotic systems. The synchronization is successfully achieved by designing an adaptive controller with the estimates of the unknown parameters and the nonlinear feedback gain. The result is rigorously proved by the Lyapunov stability theorem. Moreover, we illustrate the application of the proposed scheme by numerical simulation, which demonstrates the effectiveness and feasibility of the proposed synchronization method.

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Authors and Affiliations

  1. Continuing Education School, Shanghai Jiaotong University, 200036, Shanghai, China

    Qingying Miao

  2. School of Information Science and Technology, Donghua University, 201620, Shanghai, China

    Qingying Miao, Yang Tang, Suojun Lu & Jianan Fang

Authors
  1. Qingying Miao
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  2. Yang Tang
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  3. Suojun Lu
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  4. Jianan Fang
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Correspondence to Qingying Miao.

Additional information

Project supported by the National Natural Science Foundation of China under Grant No. 10571024.

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Miao, Q., Tang, Y., Lu, S. et al. Lag synchronization of a class of chaotic systems with unknown parameters. Nonlinear Dyn 57, 107–112 (2009). https://doi.org/10.1007/s11071-008-9424-5

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  • DOI: https://doi.org/10.1007/s11071-008-9424-5

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