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Mixed H∞/passive synchronization for persistent dwell-time switched neural networks via an activation function dividing method

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  • Wang, Xiaomin
  • Li, Feng
  • Hu, Xingliu
  • Wang, Jing

Abstract

The mixed H∞/passive synchronization issue of discrete-time switched neural networks is studied in this paper. In order to regulate the switching between subsystems, the persistent dwell-time switching law is adopted. The paper aims to design a suitable synchronization controller to make the synchronization error system satisfy the mixed H∞/passive performance and achieve global uniform exponential stability. By employing Lyapunov stability theory, performance analysis criteria and the synchronization controller design method are given, in which an activation function dividing method is employed to reduce their conservatism. Simulation results demonstrate the superiority and effectiveness of the method.

Suggested Citation

  • Wang, Xiaomin & Li, Feng & Hu, Xingliu & Wang, Jing, 2023. "Mixed H∞/passive synchronization for persistent dwell-time switched neural networks via an activation function dividing method," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    • Handle: RePEc:eee:apmaco:v:442:y:2023:i:c:s009630032200786x
    DOI: 10.1016/j.amc.2022.127718
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    4. Su, Lei & Shen, Hao, 2015. "Mixed H∞/passive synchronization for complex dynamical networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 931-942.
    5. Li, Feng & Song, Shuai & Zhao, Jianrong & Xu, Shengyuan & Zhang, Zhengqiang, 2019. "Synchronization control for Markov jump neural networks subject to HMM observation and partially known detection probabilities," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 1-13.
    6. Ping Zhou & Xiao-You Yang, 2011. "A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-15, August.
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