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Robust Stability Analysis of Switched Neural Networks with Application in Psychological Counseling Evaluation System

Author

Listed:
  • Yajuan Li

    (School of Education Science, Hanshan Normal University, Chaozhou 521041, China)

  • Huanbin Xue

    (School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China)

Abstract

In this work, the effectiveness and stability of psychological counseling are evaluated using the switched complex-valued neural networks (SCVNN) model, which includes parameter disturbances, impulsive perturbations, variable and continuously distributed delays in the system state, and impulsive delay. How to analyze and judge the stability of the network simply and effectively is the primary prerequisite for its successful application. Therefore, we explore the dynamic behavior of SCVNN with both variable and distributed delays along with impulsive effect. Initially, the proposed conditions for the existence and uniqueness of equilibrium in SCVNN are presented. Subsequently, employing the inequality technique and impulsive average dwell time approach, sufficient conditions for the robust exponential stability of SCVNN under both arbitrary and restricted switching are obtained. Lastly, the psychological counseling evaluation system (PCES) is established, and a simulation example is used to verify the correctness and effectiveness of the presented findings.

Suggested Citation

  • Yajuan Li & Huanbin Xue, 2024. "Robust Stability Analysis of Switched Neural Networks with Application in Psychological Counseling Evaluation System," Mathematics, MDPI, vol. 12(13), pages 1-21, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2097-:d:1428516
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    References listed on IDEAS

    as
    1. Duan, Lian & Shi, Min & Huang, Chuangxia & Fang, Xianwen, 2021. "Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Xiaohui Xu & Jiye Zhang & Jizhong Shi, 2017. "Dynamical behaviour analysis of delayed complex-valued neural networks with impulsive effect," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 686-694, March.
    3. Xue, Huanbin & Xu, Xiaohui & Zhang, Jiye & Yang, Xiaopeng, 2019. "Robust stability of impulsive switched neural networks with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 456-475.
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